54137309434880

Names of 54137309434880

• Cardinal: 54137309434880 can be written as Fifty-four trillion, one hundred thirty-seven billion, three hundred nine million, four hundred thirty-four thousand, eight hundred eighty.

Scientific notation

• Scientific notation: 5.413730943488 × 10¹³

Factors of 54137309434880

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 180

Divisors of 54137309434880

• Number of divisors d(n): 1584
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 28 31 32 35 38 40 43 56 62 64 70 73 76 80 86 95 112 124 128 133 140 146 152 155 160 172 190 215 217 224 248 256 266 280 292 301 304 310 320 344 361 365 380 430 434 448 496 511 512 532 560 584 589 602 608 620 640 665 688 722 730 760 817 860 868 896 992 1022 1024 1064 1085 1120 1168 1178 1204 1216 1240 1280 1330 1333 1376 1387 1444 1460 1505 1520 1634 1720 1736 1792 1805 1849 1984 2044 2128 2170 2240 2263 2336 2356 2408 2432 2480 2527 2555 2560 2660 2666 2752 2774 2888 2920 2945 3010 3040 3139 3268 3440 3472 3584 3610 3698 3968 4085 4088 4123 4256 4340 4480 4526 4672 4712 4816 4864 4960 5054 5110 5120 5320 5332 5504 5548 5719 5776 5840 5890 6020 6080 6278 6536 6665 6880 6935 6944 7168 7220 7396 7936 8170 8176 8246 8512 8680 8960 9052 9245 9331 9344 9424 9632 9709 9728 9920 10108 10220 10640 10664 11008 11096 11191 11315 11438 11552 11680 11780 12040 12160 12556 12635 12943 13072 13330 13760 13870 13888 14440 14792 15523 15695 15841 15872 16340 16352 16492 17024 17360 17920 18104 18490 18662 18688 18848 19264 19418 19456 19840 20216 20440 20615 21280 21328 21973 22016 22192 22382 22630 22876 23104 23360 23560 24080 24320 25112 25270 25327 25886 26144 26353 26660 27520 27740 27776 28595 28880 29584 31046 31390 31682 31744 32680 32704 32984 34048 34720 35131 35840 36208 36980 37324 37376 37696 38528 38836 39680 40432 40880 41230 42560 42656 42997 43946 44032 44384 44764 45260 45752 46208 46655 46720 47120 48160 48545 48640 50224 50540 50654 51772 52288 52706 53320 55040 55480 55552 55955 57190 57319 57760 59168 59641 62092 62780 63364 64715 65360 65408 65968 68096 69440 70262 72416 73960 74648 74752 75392 77056 77615 77672 78337 79205 79360 80864 81760 82460 85120 85312 85994 87892 88768 89528 90520 91504 92416 93310 93440 94240 96320 97090 97280 97309 100448 101080 101308 103544 104576 105412 106640 108661 109865 110080 110960 111104 111910 114380 114638 115520 118336 119282 124184 125560 126635 126728 129430 130720 130816 131765 131936 134977 136192 138880 140524 144832 147920 149296 150784 154112 155230 155344 156674 158410 158720 161728 163520 164920 170240 170624 171988 175655 175784 177289 177536 179056 181040 183008 184471 184832 186620 186880 188480 192640 194180 194618 200896 202160 202616 207088 209152 210824 213280 214985 217322 219730 220160 221920 222208 223820 228760 229276 231040 236672 238564 245917 248368 251120 253270 253456 258860 261440 261632 263530 263872 269954 277760 281048 286595 289664 295840 298205 298592 300979 301568 308224 310460 310688 313348 316820 323456 327040 329840 340480 341248 343976 351310 351568 354578 355072 358112 362080 366016 368942 369664 373240 373760 376960 385280 388360 389236 391685 401233 401792 404320 405232 414176 417487 418304 421648 426560 429970 434644 439460 443840 447640 457520 458552 462080 473344 477128 481213 486545 491834 496736 502240 506540 506912 517720 522880 523264 527060 527744 539908 543305 555520 562096 573190 579328 591680 596410 597184 601958 603136 620920 621376 626696 633640 646912 654080 659680 667489 674885 680960 681163 682496 687952 702620 703136 709156 710144 716224 724160 732032 737884 746480 753920 770560 776720 778472 783370 802466 803584 808640 810464 816943 828352 834974 836608 843296 853120 859940 869288 878920 886445 887680 895280 915040 917104 922355 924160 944839 946688 954256 962426 973090 983668 993472 1004480 1013080 1013824 1035440 1045760 1054120 1055488 1079816 1086610 1089061 1111040 1124192 1133179 1146380 1158656 1183360 1192820 1194368 1203916 1229585 1241840 1242752 1253392 1267280 1293824 1308160 1319360 1334978 1349770 1362326 1364992 1375904 1405240 1406272 1418312 1420288 1432448 1448320 1464064 1475768 1492960 1504895 1507840 1541120 1553440 1556944 1566740 1604932 1607168 1617280 1620928 1633886 1656704 1669948 1686592 1706240 1719880 1738576 1757840 1772890 1775360 1790560 1830080 1834208 1844710 1848320 1848871 1889678 1893376 1908512 1924852 1946180 1967336 1986944 2006165 2008960 2026160 2027648 2070880 2087435 2091520 2108240 2110976 2159632 2173220 2178122 2248384 2266358 2292760 2317312 2366720 2385640 2388736 2406065 2407832 2459170 2483680 2485504 2506784 2534560 2564563 2587648 2616320 2638720 2669956 2699540 2724652 2751808 2810480 2812544 2836624 2864896 2896640 2928128 2951536 2985920 3009790 3015680 3106880 3113888 3133480 3209864 3214336 3234560 3241856 3267772 3313408 3337445 3339896 3368491 3373184 3405815 3412480 3439760 3477152 3515680 3545780 3550720 3581120 3660160 3668416 3689420 3697742 3779356 3817024 3849704 3892360 3934672 3973888 4012330 4017920 4052320 4055296 4084715 4141760 4174870 4183040 4184287 4216480 4221952 4319264 4346440 4356244 4496768 4532716 4585520 4672423 4724195 4733440 4771280 4777472 4812130 4815664 4918340 4967360 4971008 5013568 5069120 5129126 5277440 5339912 5399080 5445305 5449304 5503616 5620960 5625088 5665895 5673248 5718601 5729792 5793280 5856256 5903072 5971840 6019580 6213760 6227776 6266960 6419728 6469120 6483712 6535544 6626816 6674890 6679792 6736982 6746368 6811630 6824960 6879520 6954304 7031360 7091560 7101440 7162240 7320320 7336832 7378840 7395484 7558712 7623427 7634048 7699408 7784720 7869344 7932253 7947776 8024660 8035840 8104640 8110592 8169430 8283520 8349740 8368574 8432960 8638528 8692880 8712488 8993536 9065432 9171040 9244355 9344846 9448390 9466880 9542560 9554944 9624260 9631328 9836680 9934720 9942016 10027136 10138240 10258252 10554880 10679824 10798160 10890610 10898608 11007232 11241920 11250176 11331790 11346496 11437202 11459584 11586560 11806144 11943680 12039160 12427520 12455552 12533920 12822815 12839456 12938240 12942097 12967424 13071088 13253632 13349780 13359584 13473964 13492736 13623260 13759040 13908608 14062720 14183120 14324480 14640640 14673664 14757680 14790968 15117424 15246854 15268096 15398816 15569440 15738688 15864506 15895552 16049320 16071680 16209280 16221184 16338860 16567040 16699480 16737148 16842455 16865920 17277056 17385760 17424976 17951941 17987072 18130864 18342080 18488710 18689692 18896780 19085120 19248520 19262656 19673360 19869440 20054272 20276480 20516504 20692159 20921435 21109760 21359648 21596320 21781220 21797216 22014464 22483840 22500352 22663580 22692992 22874404 23362115 23612288 23887360 24078320 24855040 24911104 25067840 25645630 25678912 25884194 25934848 26142176 26699560 26719168 26947928 26985472 27246520 27518080 27817216 28125440 28366240 28593005 28648960 29281280 29290009 29347328 29515360 29581936 30234848 30493708 30536192 30797632 31138880 31477376 31729012 32098640 32418560 32677720 33134080 33398960 33474296 33684910 33731840 34554112 34771520 34849952 35128549 35903882 35974144 36261728 36684160 36977420 37379384 37793560 38117135 38170240 38497040 38525312 39346720 39661265 39738880 40108544 40552960 41033008 41384318 41842870 42719296 43192640 43562440 43594432 44028928 44967680 45327160 45385984 45748808 46724230 47224576 47774720 48156640 48726697 49710080 49822208 50135680 51291260 51357824 51768388 52284352 53399120 53438336 53895856 54493040 55036160 55634432 56250880 56732480 57186010 57297920 58580018 58694656 59030720 59163872 60469696 60987416 61072384 61595264 62277760 62954752 63458024 64197280 64710485 64837120 65355440 66268160 66797920 66948592 67369820 67463680 69108224 69543040 69699904 70257098 71807764 72523456 73368320 73954840 74758768 75587120 76234270 76340480 76994080 77050624 78693440 79322530 79477760 79501453 80217088 81105920 82066016 82768636 83685740 85438592 86385280 87124880 87188864 89759705 89935360 90654320 90771968 91497616 93448460 94449152 96313280 97453394 99644416 100271360 102582520 102715648 103460795 103536776 104568704 106798240 106876672 107791712 108986080 110072320 111268864 112501760 113464960 114372020 117160036 118061440 118327744 120939392 121974832 123190528 124555520 125909504 126916048 128394560 129420970 129674240 130710880 133595840 133897184 134739640 134927360 138216448 139086080 139399808 140514196 143615528 144845113 145046912 146450045 146736640 147909680 149517536 151174240 152468540 152680960 153988160 154101248 157386880 158645060 159002906 164132032 165537272 167371480 170877184 172770560 174249760 174377728 175642745 179519410 179870720 181308640 181543936 182995232 186896920 188898304 192626560 194906788 200542720 205165040 205431296 206921590 207073552 209137408 213596480 213753344 215583424 217972160 220144640 226929920 228744040 234320072 236122880 236655488 241878784 243633485 243949664 245899843 246381056 249111040 251819008 253832096 256789120 258841940 261421760 267191680 267794368 269479280 278172160 278799616 281028392 287231056 289690226 290093824 292900090 293473280 295819360 299035072 302348480 304937080 305361920 307976320 308202496 314773760 317290120 318005812 328264064 331074544 334742960 341086879 341754368 345541120 348499520 348755456 351285490 359038820 362617280 365990464 373793840 385253120 389813576 397507265 401085440 410330080 410862592 413843180 414147104 418274816 427192960 427506688 431166848 435944320 453859840 457488080 468640144 472245760 473310976 483757568 487266970 487899328 491799686 492762112 498222080 507664192 513578240 517683880 522843520 534383360 535588736 538958560 556344320 556510171 557599232 562056784 574462112 579380452 580187648 585800180 591638720 598070144 604696960 609874160 615952640 629547520 634580240 636011624 656528128 662149088 669485920 682173758 683508736 691082240 696999040 697510912 702570980 718077640 724225565 725234560 731980928 747587680 770506240 779627152 795014530 820660160 827686360 828294208 836549632 854385920 862333696 871888640 907719680 914976160 937280288 944491520 946621952 967515136 974533940 975798656 983599372 1015328384 1027156480 1035367760 1045687040 1068766720 1071177472 1077917120 1113020342 1115198464 1124113568 1148924224 1158760904 1160375296 1171600360 1183277440 1196140288 1209393920 1219748320 1229499215 1231905280 1259095040 1269160480 1272023248 1313056256 1324298176 1338971840 1364347516 1393998080 1405141960 1436155280 1448451130 1450469120 1463961856 1495175360 1510527607 1541012480 1559254304 1590029060 1641320320 1655372720 1656588416 1705434395 1708771840 1724667392 1743777280 1829952320 1874560576 1893243904 1949067880 1951597312 1967198744 2030656768 2054312960 2070735520 2091374080 2137533440 2142354944 2155834240 2226040684 2248227136 2297848448 2317521808 2343200720 2366554880 2392280576 2418787840 2439496640 2458998430 2463810560 2538320960 2544046496 2626112512 2648596352 2677943680 2728695032 2782550855 2787996160 2810283920 2872310560 2896902260 2900938240 2927923712 2990350720 3021055214 3118508608 3180058120 3282640640 3310745440 3313176832 3410868790 3417543680 3449334784 3487554560 3659904640 3749121152 3898135760 3903194624 3934397488 4061313536 4141471040 4182748160 4284709888 4311668480 4452081368 4496454272 4595696896 4635043616 4686401440 4733109760 4784561152 4837575680 4878993280 4917996860 5076641920 5088092992 5297192704 5355887360 5457390064 5565101710 5575992320 5620567840 5744621120 5793804520 5801876480 5855847424 5980701440 6042110428 6237017216 6360116240 6565281280 6621490880 6626353664 6821737580 7319809280 7498242304 7552638035 7796271520 7806389248 7868794976 8122627072 8282942080 8623336960 8904162736 8992908544 9191393792 9270087232 9372802880 9466219520 9757986560 9835993720 10153283840 10176185984 10573693249 10594385408 10711774720 10914780128 11130203420 11241135680 11489242240 11587609040 11961402880 12084220856 12474034432 12720232480 13130562560 13242981760 13252707328 13643475160 14639618560 14996484608 15105276070 15592543040 15737589952 16565884160 17246673920 17808325472 17985817088 18382787584 18540174464 18745605760 19515973120 19671987440 20306567680 20352371968 21147386498 21188770816 21423549440 21829560256 22260406840 22482271360 22978484480 23175218080 23922805760 24168441712 24948068864 25440464960 26485963520 27286950320 29279237120 29992969216 30210552140 31185086080 31475179904 33131768320 35616650944 35971634176 37080348928 37491211520 39031946240 39343974880 40613135360 40704743936 42294772996 43659120512 44520813680 44964542720 45956968960 46350436160 48336883424 49896137728 50880929920 52868466245 52971927040 54573900640 60421104280 62370172160 62950359808 66263536640 71233301888 74160697856 74982423040 78687949760 81409487872 84589545992 87318241024 89041627360 89929085440 91913937920 92700872320 96673766848 101761859840 105736932490 105943854080 109147801280 120842208560 124740344320 125900719616 142466603776 148321395712 149964846080 157375899520 169179091984 174636482048 178083254720 179858170880 185401744640 193347533696 203523719680 211473864980 218295602560 241684417120 249480688640 251801439232 284933207552 314751799040 338358183968 349272964096 356166509440 370803489280 386695067392 407047439360 422947729960 436591205120 483368834240 569866415104 629503598080 676716367936 712333018880 741606978560 773390134784 845895459920 873182410240 966737668480 1259007196160 1353432735872 1424666037760 1546780269568 1691790919840 1746364820480 1933475336960 2706865471744 2849332075520 3383581839680 3866950673920 5413730943488 6767163679360 7733901347840 10827461886976 13534327358720 27068654717440 54137309434880
• Sum of all divisors σ(n): 167809432126464
• Sum of proper divisors (its aliquot sum) s(n): 113672122691584
• 54137309434880 is an abundant number, because the sum of its proper divisors (113672122691584) is greater than itself. Its abundance is 59534813256704

Bases of 54137309434880

• Binary: 1100010011110011010011000110010001010000000000₂
• Hexadecimal: 0x313CD3191400
• Base-36: J6UC494OW

Squares and roots of 54137309434880

• 54137309434880 squared (54137309434880²) is 2930848272847947064960614400
• 54137309434880 cubed (54137309434880³) is 158668239853852917167531074212721590272000
• The square root of 54137309434880 is 7357806.0204710479
• The cube root of 54137309434880 is 37829.6412416677

Scales and comparisons

• 54,137,309,434,880 seconds is equal to 1,721,398 years, 51 weeks, 13 hours, 41 minutes, 20 seconds.
• To count from 1 to 54,137,309,434,880 would take you about four million, three hundred three thousand, four hundred ninety-seven years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 54137309434880 cubic inches would be around 3152.5 feet tall.

Recreational maths with 54137309434880

• 54137309434880 backwards is 08843490373145
• The number of decimal digits it has is: 14
• The sum of 54137309434880's digits is 59
• More coming soon!