137931149890560

Names of 137931149890560

• Cardinal: 137931149890560 can be written as One hundred thirty-seven trillion, nine hundred thirty-one billion, one hundred forty-nine million, eight hundred ninety thousand, five hundred sixty.

Scientific notation

• Scientific notation: 1.3793114989056 × 10¹⁴

Factors of 137931149890560

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 155

Divisors of 137931149890560

• Number of divisors d(n): 1320
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 59 60 64 65 73 78 80 96 104 118 120 128 130 146 156 160 169 177 192 195 208 219 236 240 256 260 292 295 312 320 338 354 365 384 390 416 438 472 480 507 512 520 584 590 624 640 676 708 730 767 768 780 832 845 876 885 944 949 960 1014 1024 1040 1095 1168 1180 1248 1280 1352 1416 1460 1534 1536 1560 1664 1690 1752 1770 1888 1898 1920 2028 2080 2190 2197 2301 2336 2360 2496 2535 2560 2704 2832 2847 2920 3068 3072 3120 3328 3380 3504 3540 3776 3796 3835 3840 4056 4160 4307 4380 4394 4602 4672 4720 4745 4992 5070 5120 5329 5408 5664 5694 5840 6136 6240 6591 6656 6760 7008 7080 7552 7592 7670 7680 8112 8320 8614 8760 8788 9204 9344 9440 9490 9971 9984 10140 10658 10816 10985 11328 11388 11505 11680 12272 12337 12480 12921 13182 13312 13520 14016 14160 14235 15104 15184 15340 15360 15987 16224 16640 17228 17520 17576 18408 18688 18880 18980 19942 19968 20280 21316 21535 21632 21970 22656 22776 23010 23360 24544 24674 24960 25842 26364 26645 27040 28032 28320 28470 28561 29913 30208 30368 30680 31974 32448 32955 33280 34456 35040 35152 36816 37011 37376 37760 37960 39884 39936 40560 42632 43070 43264 43940 45312 45552 46020 46720 49088 49348 49855 49920 51684 52728 53290 54080 55991 56064 56640 56940 57122 59826 60416 60736 61360 61685 63948 64605 64896 65910 66560 68912 69277 70080 70304 73632 74022 74752 75520 75920 79768 79935 81120 85264 85683 86140 86528 87880 90624 91104 92040 93440 98176 98696 99710 99840 103368 105456 106580 108160 111982 112128 113280 113880 114244 119652 121472 122720 123370 127896 129210 129623 129792 131820 137824 138554 140160 140608 142805 147264 148044 149565 151040 151840 159536 159870 160381 162240 167973 170528 171366 172280 173056 175760 181248 182208 184080 185055 186880 196352 197392 199420 199680 206736 207831 210912 213160 216320 223964 224256 226560 227760 228488 239304 242944 245440 246740 255792 258420 259246 259584 263640 275648 277108 279955 280320 281216 285610 294528 296088 299130 302080 303680 314411 319072 319740 320762 324480 335946 341056 342732 344560 346385 351520 364416 368160 370110 373760 388869 392704 394784 398840 413472 415662 421824 426320 428415 432640 447928 453120 455520 456976 478608 481143 485888 490880 493480 511584 516840 518492 519168 527280 551296 554216 559910 560640 562432 571220 589056 592176 598260 607360 628822 638144 639480 641524 648115 648960 671892 682112 685464 689120 692770 703040 727883 728832 736320 740220 777738 785408 789568 797680 801905 826944 831324 839865 843648 852640 856830 865280 895856 900601 906240 911040 913952 943233 957216 962286 971776 981760 986960 1023168 1033680 1036984 1039155 1054560 1102592 1108432 1119820 1121280 1124864 1142440 1178112 1184352 1196520 1214720 1257644 1276288 1278960 1283048 1296230 1297920 1343784 1364224 1370928 1378240 1385540 1406080 1455766 1457664 1472640 1480440 1555476 1572055 1579136 1595360 1603810 1653888 1662648 1679730 1685099 1687296 1705280 1713660 1791712 1801202 1822080 1827904 1886466 1914432 1924572 1944345 1963520 1973920 2046336 2067360 2073968 2078310 2084953 2109120 2183649 2205184 2216864 2239640 2249728 2284880 2356224 2368704 2393040 2405715 2429440 2515288 2552576 2557920 2566096 2592460 2595840 2687568 2701803 2728448 2741856 2756480 2771080 2812160 2911532 2915328 2945280 2960880 3110952 3144110 3158272 3190720 3207620 3307776 3325296 3359460 3370198 3374592 3410560 3427320 3583424 3602404 3639415 3644160 3655808 3772932 3828864 3849144 3888690 3927040 3947840 4087343 4092672 4134720 4147936 4156620 4169906 4218240 4367298 4410368 4433728 4479280 4503005 4569760 4716165 4737408 4786080 4811430 4858880 5030576 5055297 5105152 5115840 5132192 5184920 5375136 5403606 5456896 5483712 5512960 5542160 5624320 5823064 5890560 5921760 6221904 6254859 6288220 6316544 6381440 6415240 6615552 6650592 6718920 6740396 6749184 6821120 6854640 7166848 7204808 7278830 7288320 7311616 7545864 7657728 7698288 7777380 7895680 8174686 8185344 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120733824 122620290 123012227 123172608 124438080 125097180 130794976 132733952 133011840 133436992 134807920 139753536 140493756 141937185 143336960 144096160 146232320 150917280 151399664 152201569 153154560 153965760 159406377 160978432 161769504 163493720 164230144 165917440 166796240 172004352 172915392 174691920 175617195 177349120 186338048 187325008 189249580 189496320 196192464 199100928 200155488 201223040 202211880 205287680 212541836 212818944 215005440 215692672 216144240 219348480 227099496 230553856 232922560 234156260 241467648 245240580 246024454 246345216 248876160 250194360 261589952 265677295 266023680 266873984 269615840 279507072 280987512 283874370 286673920 288192320 301834560 302799328 304403138 307931520 318812754 321956864 323539008 326987440 331834880 333592480 345830784 349383840 351234390 354698240 369036681 372676096 374650016 378499160 392384928 398201856 400310976 402446080 404423760 410575360 425083672 430010880 431385344 432288480 438696960 454198992 456604707 461107712 465845120 468312520 482935296 490481160 492048908 492690432 497752320 500388720 523179904 531354590 532047360 533747968 539231680 559014144 561975024 567748740 576384640 603669120 605598656 608806276 615061135 615863040 637625508 647078016 653974880 663669760 667184960 690760967 691661568 698767680 702468780 738073362 745352192 749300032 756998320 761007845 784769856 797031885 800621952 804892160 808847520 821150720 850167344 860021760 862770688 864576960 908397984 913209414 922215424 931690240 936625040 965870592 980962320 984097816 995504640 1000777440 1046359808 1062709180 1064094720 1067495936 1078463360 1118028288 1123950048 1135497480 1152769280 1207338240 1211197312 1217612552 1230122270 1231726080 1275251016 1294156032 1307949760 1334369920 1381521934 1383323136 1397535360 1404937560 1476146724 1498600064 1513996640 1522015690 1569539712 1594063770 1601243904 1609784320 1617695040 1700334688 1725541376 1729153920 1816795968 1826418828 1845183405 1863380480 1873250080 1961924640 1968195632 1991009280 2001554880 2072282901 2092719616 2125418360 2134991872 2156926720 2236056576 2247900096 2270994960 2283023535 2305538560 2414676480 2422394624 2435225104 2460244540 2463452160 2550502032 2588312064 2615899520 2668739840 2763043868 2766646272 2795070720 2809875120 2952293448 2997200128 3027993280 3044031380 3139079424 3188127540 3202487808 3235390080 3400669376 3453804835 3458307840 3633591936 3652837656 3690366810 3726760960 3746500160 3923849280 3936391264 4003109760 4144565802 4185439232 4250836720 4313853440 4495800192 4541989920 4566047070 4611077120 4829352960 4844789248 4870450208 4920489080 5101004064 5176624128 5231799040 5337479680 5526087736 5590141440 5619750240 5904586896 5994400256 6055986560 6088062760 6278158848 6376255080 6404975616 6470780160 6801338752 6907609670 6916615680 7267183872 7305675312 7380733620 7493000320 7847698560 7872782528 8006219520 8289131604 8501673440 8627706880 8979892571 8991600384 9083979840 9132094140 9689578496 9740900416 9840978160 10202008128 10361414505 10463598080 10674959360 11052175472 11180282880 11239500480 11809173792 11988800512 12111973120 12176125520 12556317696 12752510160 12941560320 13602677504 13815219340 13833231360 14534367744 14611350624 14761467240 14986000640 15695397120 15745565056 16012439040 16578263208 17003346880 17959785142 17983200768 18167959680 18264188280 19481800832 19681956320 20404016256 20722829010 20927196160 22104350944 22479000960 23618347584 24223946240 24352251040 25505020320 25883120640 26939677713 27205355008 27630438680 29068735488 29222701248 29522934480 29972001280 31390794240 31491130112 32024878080 33156526416 34006693760 35919570284 35966401536 36335919360 36528376560 38963601664 39363912640 40808032512 41445658020 44208701888 44899462855 44958001920 47236695168 48447892480 48704502080 51010040640 53879355426 54410710016 55260877360 58445402496 59045868960 59944002560 62781588480 62982260224 66313052832 68013387520 71839140568 72671838720 73056753120 77927203328 78727825280 81616065024 82891316040 88417403776 89798925710 89916003840 94473390336 97409004160 102020081280 107758710852 110521754720 116890804992 118091737920 125964520448 132626105664 134698388565 136026775040 143678281136 145343677440 146113506240 155854406656 157455650560 163232130048 165782632080 176834807552 179597851420 179832007680 188946780672 194818008320 204040162560 215517421704 221043509440 233781609984 236183475840 265252211328 269396777130 272053550080 287356562272 292227012480 314911301120 331565264160 353669615104 359195702840 377893561344 389636016640 408080325120 431034843408 442087018880 467563219968 472366951680 530504422656 538793554260 574713124544 584454024960 629822602240 663130528320 707339230208 718391405680 779272033280 816160650240 862069686816 884174037760 944733903360 1061008845312 1077587108520 1149426249088 1168908049920 1326261056640 1436782811360 1724139373632 1768348075520 1889467806720 2122017690624 2155174217040 2298852498176 2337816099840 2652522113280 2873565622720 3448278747264 3536696151040 4310348434080 4597704996352 5305044226560 5747131245440 6896557494528 8620696868160 9195409992704 10610088453120 11494262490880 13793114989056 17241393736320 22988524981760 27586229978112 34482787472640 45977049963520 68965574945280 137931149890560
• Sum of all divisors σ(n): 492776113652640
• Sum of proper divisors (its aliquot sum) s(n): 354844963762080
• 137931149890560 is an abundant number, because the sum of its proper divisors (354844963762080) is greater than itself. Its abundance is 216913813871520

Bases of 137931149890560

• Binary: 11111010111001010011001001100010101010000000000₂
• Hexadecimal: 0x7D7299315400
• Base-36: 1CW4P1D91C

Squares and roots of 137931149890560

• 137931149890560 squared (137931149890560²) is 19025002110132129899977113600
• 137931149890560 cubed (137931149890560³) is 2624140417720855098120367956275144687616000
• The square root of 137931149890560 is 11744409.3036031403
• The cube root of 137931149890560 is 51667.8970549639

Scales and comparisons

• 137,931,149,890,560 seconds is equal to 4,385,783 years, 47 weeks, 4 days, 22 hours, 56 minutes.
• To count from 1 to 137,931,149,890,560 would take you about ten million, nine hundred sixty-four thousand, four hundred fifty-nine 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 137931149890560 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137931149890560

• 137931149890560 backwards is 065098941139731
• The number of decimal digits it has is: 15
• The sum of 137931149890560's digits is 66
• More coming soon!