54135889920

Names of 54135889920

• Cardinal: 54135889920 can be written as Fifty-four billion, one hundred thirty-five million, eight hundred eighty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 5.413588992 × 10¹⁰

Factors of 54135889920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 54

Divisors of 54135889920

• Number of divisors d(n): 1176
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 37 40 42 45 48 49 54 56 60 63 64 70 72 74 80 81 84 90 96 98 105 108 111 112 120 126 128 135 140 144 147 148 160 162 168 180 185 189 192 196 210 216 222 224 240 243 245 252 256 259 270 280 288 294 296 315 320 324 333 336 360 370 378 384 392 405 420 432 441 444 448 480 486 490 504 512 518 540 555 560 567 576 588 592 630 640 648 666 672 720 729 735 740 756 768 777 784 810 840 864 882 888 896 945 960 972 980 999 1008 1024 1036 1080 1110 1120 1134 1152 1176 1184 1215 1260 1280 1295 1296 1323 1332 1344 1440 1458 1470 1480 1512 1536 1554 1568 1620 1665 1680 1701 1728 1764 1776 1792 1813 1890 1920 1944 1960 1998 2016 2048 2072 2160 2205 2220 2240 2268 2304 2331 2352 2368 2430 2520 2560 2590 2592 2646 2664 2688 2835 2880 2916 2940 2960 2997 3024 3072 3108 3136 3240 3330 3360 3402 3456 3528 3552 3584 3626 3645 3780 3840 3885 3888 3920 3969 3996 4032 4096 4144 4320 4410 4440 4480 4536 4608 4662 4704 4736 4860 4995 5040 5103 5120 5180 5184 5292 5328 5376 5439 5670 5760 5832 5880 5920 5994 6048 6144 6216 6272 6480 6615 6660 6720 6804 6912 6993 7056 7104 7168 7252 7290 7560 7680 7770 7776 7840 7938 7992 8064 8192 8288 8505 8640 8820 8880 8960 8991 9065 9072 9216 9324 9408 9472 9720 9990 10080 10206 10240 10360 10368 10584 10656 10752 10878 11340 11520 11655 11664 11760 11840 11907 11988 12096 12288 12432 12544 12960 13230 13320 13440 13608 13824 13986 14112 14208 14336 14504 14580 14985 15120 15360 15540 15552 15680 15876 15984 16128 16317 16576 17010 17280 17640 17760 17920 17982 18130 18144 18432 18648 18816 18944 19440 19845 19980 20160 20412 20480 20720 20736 20979 21168 21312 21504 21756 22680 23040 23310 23328 23520 23680 23814 23976 24192 24576 24864 25088 25515 25920 26460 26640 26880 26973 27195 27216 27648 27972 28224 28416 28672 29008 29160 29970 30240 30720 31080 31104 31360 31752 31968 32256 32634 33152 34020 34560 34965 35280 35520 35721 35840 35964 36260 36288 36864 37296 37632 37888 38880 39690 39960 40320 40824 40960 41440 41472 41958 42336 42624 43008 43512 44955 45360 46080 46620 46656 47040 47360 47628 47952 48384 48951 49728 50176 51030 51840 52920 53280 53760 53946 54390 54432 55296 55944 56448 56832 57344 58016 58320 59535 59940 60480 61440 62160 62208 62720 62937 63504 63936 64512 65268 66304 68040 69120 69930 70560 71040 71442 71680 71928 72520 72576 73728 74592 75264 75776 77760 79380 79920 80640 81585 81648 82880 82944 83916 84672 85248 86016 87024 89910 90720 92160 93240 93312 94080 94720 95256 95904 96768 97902 99456 100352 102060 103680 104895 105840 106560 107520 107892 108780 108864 110592 111888 112896 113664 116032 116640 119070 119880 120960 122880 124320 124416 125440 125874 127008 127872 129024 130536 132608 134865 136080 138240 139860 141120 142080 142884 143360 143856 145040 145152 146853 149184 150528 151552 155520 158760 159840 161280 163170 163296 165760 165888 167832 169344 170496 172032 174048 178605 179820 181440 184320 186480 186624 188160 188811 189440 190512 191808 193536 195804 198912 200704 204120 207360 209790 211680 213120 215040 215784 217560 217728 221184 223776 225792 227328 232064 233280 238140 239760 241920 244755 248640 248832 250880 251748 254016 255744 258048 261072 265216 269730 272160 276480 279720 282240 284160 285768 286720 287712 290080 290304 293706 298368 301056 303104 311040 314685 317520 319680 322560 326340 326592 331520 331776 335664 338688 340992 348096 357210 359640 362880 368640 372960 373248 376320 377622 378880 381024 383616 387072 391608 397824 401408 408240 414720 419580 423360 426240 430080 431568 435120 435456 440559 447552 451584 454656 464128 466560 476280 479520 483840 489510 497280 497664 501760 503496 508032 511488 516096 522144 530432 539460 544320 552960 559440 564480 568320 571536 575424 580160 580608 587412 596736 602112 622080 629370 635040 639360 645120 652680 653184 663040 663552 671328 677376 681984 696192 714420 719280 725760 734265 745920 746496 752640 755244 757760 762048 767232 774144 783216 795648 816480 829440 839160 846720 852480 860160 863136 870240 870912 881118 895104 903168 909312 928256 933120 944055 952560 959040 967680 979020 994560 995328 1003520 1006992 1016064 1022976 1044288 1060864 1078920 1088640 1105920 1118880 1128960 1136640 1143072 1150848 1160320 1161216 1174824 1193472 1204224 1244160 1258740 1270080 1278720 1290240 1305360 1306368 1321677 1326080 1342656 1354752 1363968 1392384 1428840 1438560 1451520 1468530 1491840 1492992 1505280 1510488 1515520 1524096 1534464 1548288 1566432 1591296 1632960 1658880 1678320 1693440 1704960 1726272 1740480 1741824 1762236 1790208 1806336 1856512 1866240 1888110 1905120 1918080 1935360 1958040 1989120 1990656 2007040 2013984 2032128 2045952 2088576 2121728 2157840 2177280 2202795 2237760 2257920 2273280 2286144 2301696 2320640 2322432 2349648 2386944 2488320 2517480 2540160 2557440 2580480 2610720 2612736 2643354 2652160 2685312 2709504 2727936 2784768 2857680 2877120 2903040 2937060 2983680 2985984 3010560 3020976 3048192 3068928 3132864 3182592 3265920 3317760 3356640 3386880 3409920 3452544 3480960 3483648 3524472 3580416 3612672 3713024 3732480 3776220 3810240 3836160 3870720 3916080 3978240 4027968 4064256 4091904 4177152 4315680 4354560 4405590 4475520 4515840 4546560 4572288 4603392 4641280 4644864 4699296 4773888 4976640 5034960 5080320 5114880 5221440 5225472 5286708 5304320 5370624 5419008 5569536 5715360 5754240 5806080 5874120 5967360 5971968 6021120 6041952 6096384 6137856 6265728 6365184 6531840 6608385 6713280 6773760 6819840 6905088 6961920 6967296 7048944 7160832 7426048 7464960 7552440 7620480 7672320 7741440 7832160 7956480 8055936 8128512 8183808 8354304 8631360 8709120 8811180 8951040 9031680 9144576 9206784 9282560 9398592 9547776 9953280 10069920 10160640 10229760 10442880 10450944 10573416 10608640 10741248 10838016 11139072 11430720 11508480 11612160 11748240 11934720 12083904 12192768 12275712 12531456 13063680 13216770 13426560 13547520 13639680 13810176 13923840 13934592 14097888 14321664 14852096 14929920 15104880 15240960 15344640 15664320 15912960 16111872 16257024 16708608 17262720 17418240 17622360 17902080 18063360 18289152 18413568 18565120 18797184 19095552 20139840 20321280 20459520 20885760 20901888 21146832 21482496 22278144 22861440 23016960 23224320 23496480 23869440 24167808 24385536 24551424 25062912 26127360 26433540 26853120 27095040 27620352 27847680 28195776 28643328 29859840 30209760 30481920 30689280 31328640 31825920 32223744 32514048 33417216 34525440 34836480 35244720 35804160 36578304 36827136 37130240 37594368 40279680 40642560 40919040 41771520 41803776 42293664 42964992 44556288 45722880 46033920 46992960 47738880 48335616 48771072 50125824 52254720 52867080 53706240 54190080 55240704 55695360 56391552 57286656 60419520 60963840 61378560 62657280 64447488 66834432 69050880 69672960 70489440 71608320 73156608 73654272 74260480 75188736 80559360 81285120 83543040 84587328 85929984 91445760 92067840 93985920 95477760 96671232 97542144 100251648 104509440 105734160 107412480 110481408 111390720 112783104 120839040 121927680 122757120 125314560 128894976 133668864 138101760 140978880 143216640 146313216 150377472 161118720 162570240 167086080 169174656 171859968 182891520 184135680 187971840 193342464 200503296 209018880 211468320 214824960 220962816 222781440 225566208 241678080 243855360 250629120 257789952 276203520 281957760 286433280 292626432 300754944 322237440 334172160 338349312 365783040 368271360 375943680 386684928 401006592 422936640 429649920 451132416 483356160 487710720 501258240 515579904 552407040 563915520 601509888 644474880 668344320 676698624 731566080 751887360 773369856 845873280 859299840 902264832 966712320 1002516480 1104814080 1127831040 1203019776 1288949760 1353397248 1463132160 1503774720 1546739712 1691746560 1804529664 1933424640 2005032960 2255662080 2577899520 2706794496 3007549440 3383493120 3609059328 3866849280 4511324160 5413588992 6015098880 6766986240 7733698560 9022648320 10827177984 13533972480 18045296640 27067944960 54135889920
• Sum of all divisors σ(n): 232714420524
• Sum of proper divisors (its aliquot sum) s(n): 178578530604
• 54135889920 is an abundant number, because the sum of its proper divisors (178578530604) is greater than itself. Its abundance is 124442640684

Bases of 54135889920

• Binary: 110010011010110000000010000000000000₂
• Hexadecimal: 0xC9AC02000
• Base-36: OVB4000

Squares and roots of 54135889920

• 54135889920 squared (54135889920²) is 2930694577430357606400
• 54135889920 cubed (54135889920³) is 158655759032910755846305087488000
• The square root of 54135889920 is 232671.2056099765
• The cube root of 54135889920 is 3782.9310599647

Scales and comparisons

• 54,135,889,920 seconds is equal to 1,721 years, 18 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 54,135,889,920 would take you about three thousand, four hundred forty-two 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 54135889920 cubic inches would be around 315.2 feet tall.

Recreational maths with 54135889920

• 54135889920 backwards is 02998853145
• 54135889920 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 54135889920's digits is 54
• More coming soon!