138811716126720

Names of 138811716126720

• Cardinal: 138811716126720 can be written as One hundred thirty-eight trillion, eight hundred eleven billion, seven hundred sixteen million, one hundred twenty-six thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3881171612672 × 10¹⁴

Factors of 138811716126720

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 4940

Divisors of 138811716126720

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 126 128 130 135 140 144 156 160 168 180 182 189 192 195 208 210 216 224 234 240 252 256 260 270 273 280 288 312 315 320 336 351 360 364 378 384 390 416 420 432 448 455 468 480 504 512 520 540 546 560 576 585 624 630 640 672 702 720 728 756 768 780 819 832 840 864 896 910 936 945 960 1008 1024 1040 1080 1092 1120 1152 1170 1248 1260 1280 1344 1365 1404 1440 1456 1512 1536 1560 1638 1664 1680 1728 1741 1755 1792 1820 1872 1890 1920 2016 2048 2080 2160 2184 2240 2304 2340 2457 2496 2520 2560 2688 2730 2808 2880 2912 3024 3072 3120 3169 3276 3328 3360 3456 3482 3510 3584 3640 3744 3780 3840 4032 4095 4160 4320 4368 4480 4608 4680 4914 4992 5040 5120 5223 5376 5460 5616 5760 5824 6048 6144 6240 6338 6552 6656 6720 6912 6964 7020 7168 7280 7488 7560 7680 8064 8190 8320 8640 8705 8736 8960 9216 9360 9507 9828 9984 10080 10240 10446 10752 10920 11232 11520 11648 12096 12187 12285 12480 12676 13104 13312 13440 13824 13928 14040 14336 14560 14976 15120 15360 15669 15845 16128 16380 16640 17280 17410 17472 17920 18432 18720 19014 19656 19968 20160 20892 21504 21840 22183 22464 22633 23040 23296 24192 24374 24570 24960 25352 26115 26208 26624 26880 27648 27856 28080 28521 29120 29952 30240 30720 31338 31690 32256 32760 33280 34560 34820 34944 35840 36561 37440 38028 39312 39936 40320 41197 41784 43008 43680 44366 44928 45266 46080 46592 47007 47535 48384 48748 49140 49920 50704 52230 52416 53760 55296 55712 56160 57042 58240 59904 60480 60935 62676 63380 64512 65520 66549 66560 67899 69120 69640 69888 71680 73122 74880 76056 78345 78624 79872 80640 82394 83568 85563 87360 88732 89856 90532 92160 93184 94014 95070 96768 97496 98280 99840 101408 104460 104832 107520 109683 110915 111424 112320 113165 114084 116480 119808 120960 121870 123591 125352 126760 129024 131040 133098 133120 135798 138240 139280 139776 142605 146244 149760 152112 156690 157248 158431 161280 164788 167136 171126 174720 177464 179712 181064 182805 186368 188028 190140 193536 194992 196560 199647 199680 202816 203697 205985 208920 209664 215040 219366 221830 222848 224640 226330 228168 232960 235035 239616 241920 243740 247182 250704 253520 262080 266196 271596 276480 278560 279552 285210 288379 292488 299520 304224 313380 314496 316862 322560 329049 329576 332745 334272 339495 342252 349440 354928 359424 362128 365610 370773 376056 380280 387072 389984 393120 399294 399360 405632 407394 411970 417840 419328 427815 438732 443660 445696 449280 452660 456336 465920 470070 475293 483840 487480 494364 501408 507040 524160 532392 543192 548415 557120 559104 570420 576758 584976 598941 599040 608448 611091 617955 626760 628992 633724 645120 658098 659152 665490 668544 678990 684504 698880 709856 718848 724256 731220 741546 752112 760560 779968 786240 792155 798588 811264 814788 823940 835680 838656 855630 865137 877464 887320 891392 898560 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9886874368 9966378240 10041356780 10328252688 10427562810 10593079680 10950750720 11122733664 11299284992 11390146560 11475836320 11917214640 12049628136 12358592960 12711695616 12910315860 13288504320 13555831653 13771003584 13903417080 14124106240 14601000960 14830311552 15062035170 15492379032 15889619520 15946205184 16066170848 16684100496 16948927488 17213754480 18074442204 18361338112 18537889440 19067543424 19365473790 19773748736 19932756480 20082713560 20656505376 20855125620 21186159360 21901501440 22245467328 22593052755 22951672640 23834429280 24099256272 24717185920 25423391232 25820631720 26577008640 27111663306 27542007168 27806834160 28248212480 29660623104 30124070340 30984758064 31779239040 32132341696 33368200992 33897854976 34427508960 36148884408 36722676224 37075778880 38135086848 38730947580 39547497472 39865512960 40165427120 41313010752 41710251240 42372318720 43803002880 44490934656 45186105510 45903345280 47668858560 48198512544 49434371840 50846782464 51641263440 54223326612 55084014336 55613668320 56496424960 59321246208 60248140680 61969516128 63558478080 64264683392 66736401984 67779158265 68855017920 72297768816 73445352448 74151557760 76270173696 77461895160 79094994944 79731025920 80330854240 82626021504 83420502480 84744637440 88981869312 90372211020 91806690560 95337717120 96397025088 98868743680 101693564928 103282526880 108446653224 110168028672 111227336640 118642492416 120496281360 123939032256 127116956160 128529366784 133472803968 135558316530 137710035840 144595537632 146890704896 148303115520 152540347392 154923790320 160661708480 165252043008 166841004960 169489274880 177963738624 180744422040 183613381120 190675434240 192794050176 197737487360 206565053760 216893306448 220336057344 222454673280 237284984832 240992562720 247878064512 254233912320 257058733568 266945607936 271116633060 275420071680 289191075264 296606231040 305080694784 309847580640 321323416960 330504086016 333682009920 355927477248 361488844080 367226762240 381350868480 385588100352 395474974720 413130107520 433786612896 440672114688 444909346560 481985125440 495756129024 508467824640 514117467136 533891215872 542233266120 550840143360 578382150528 593212462080 619695161280 642646833920 661008172032 667364019840 711854954496 722977688160 734453524480 762701736960 771176200704 826260215040 867573225792 889818693120 963970250880 991512258048 1028234934272 1067782431744 1084466532240 1101680286720 1156764301056 1186424924160 1239390322560 1285293667840 1322016344064 1334728039680 1445955376320 1525403473920 1542352401408 1652520430080 1735146451584 1779637386240 1927940501760 1983024516096 2135564863488 2168933064480 2203360573440 2313528602112 2478780645120 2570587335680 2669456079360 2891910752640 3084704802816 3305040860160 3470292903168 3559274772480 3855881003520 3966049032192 4337866128960 4627057204224 4957561290240 5141174671360 5338912158720 5783821505280 6610081720320 6940585806336 7711762007040 8675732257920 9254114408448 9915122580480 10677824317440 11567643010560 13881171612672 15423524014080 17351464515840 19830245160960 23135286021120 27762343225344 34702929031680 46270572042240 69405858063360 138811716126720
• Sum of all divisors σ(n): 607841829504000
• Sum of proper divisors (its aliquot sum) s(n): 469030113377280
• 138811716126720 is an abundant number, because the sum of its proper divisors (469030113377280) is greater than itself. Its abundance is 330218397250560

Bases of 138811716126720

• Binary: 11111100011111110011111000001111100100000000000₂
• Hexadecimal: 0x7E3F9F07C800
• Base-36: 1D7D7ZRPC0

Squares and roots of 138811716126720

• 138811716126720 squared (138811716126720²) is 19268692534045097319097958400
• 138811716126720 cubed (138811716126720³) is 2674720278168917098165181909876707688448000
• The square root of 138811716126720 is 11781838.4018250735
• The cube root of 138811716126720 is 51777.6149068761

Scales and comparisons

• 138,811,716,126,720 seconds is equal to 4,413,783 years, 10 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 138,811,716,126,720 would take you about eleven million, thirty-four thousand, four hundred fifty-eight 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 138811716126720 cubic inches would be around 4314.8 feet tall.

Recreational maths with 138811716126720

• 138811716126720 backwards is 027621617118831
• 138811716126720 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138811716126720's digits is 54
• More coming soon!