138767430816

Names of 138767430816

• Cardinal: 138767430816 can be written as One hundred thirty-eight billion, seven hundred sixty-seven million, four hundred thirty thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.38767430816 × 10¹¹

Factors of 138767430816

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 504

Divisors of 138767430816

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 31 32 34 36 42 47 48 49 51 56 62 63 68 72 84 93 94 96 98 102 112 119 124 126 136 141 144 147 153 168 186 188 196 204 217 224 238 248 252 272 279 282 288 294 306 329 336 357 372 376 392 397 408 423 434 441 476 496 504 527 544 558 564 588 612 651 658 672 714 744 752 784 794 799 816 833 846 868 882 952 987 992 1008 1054 1071 1116 1128 1176 1191 1224 1302 1316 1428 1457 1488 1504 1519 1568 1581 1588 1598 1632 1666 1692 1736 1764 1904 1953 1974 2016 2108 2142 2232 2256 2303 2352 2382 2397 2448 2499 2604 2632 2779 2856 2914 2961 2976 3038 3162 3176 3196 3332 3384 3472 3528 3573 3689 3808 3906 3948 4216 4284 4371 4464 4512 4557 4606 4704 4743 4764 4794 4896 4998 5208 5264 5558 5593 5712 5828 5922 6076 6324 6352 6392 6664 6749 6768 6909 6944 7056 7146 7191 7378 7497 7812 7896 8337 8432 8568 8742 8928 9114 9212 9486 9528 9588 9996 10199 10416 10528 11067 11116 11186 11424 11656 11844 12152 12307 12648 12704 12784 13113 13328 13498 13536 13671 13818 14112 14292 14382 14756 14994 15624 15792 16674 16779 16864 17136 17484 18228 18424 18659 18972 19056 19176 19453 19992 20247 20398 20727 20832 22134 22232 22372 23312 23688 24304 24614 24769 25011 25296 25568 25823 26226 26656 26996 27342 27636 28584 28764 29512 29988 30597 31248 31584 33201 33348 33558 34272 34968 36456 36848 36921 37318 37944 38112 38352 38906 39151 39984 40494 40796 41454 44268 44464 44744 46624 47243 47376 48608 49228 49538 50022 50337 50592 51646 52452 53992 54684 55272 55977 57168 57528 58359 59024 59976 60741 61194 62496 66402 66696 67116 69936 71393 72912 73696 73842 74307 74636 75888 76704 77469 77812 78302 79968 80988 81592 82908 86149 88536 88928 89488 91791 94486 94752 98456 99076 100044 100674 103292 104904 107984 109368 110544 110763 111954 114336 115056 116718 117453 118048 119952 121482 122388 130613 132804 133392 134232 139872 141729 142786 145824 147684 148614 149272 151776 154938 155624 156604 161976 163184 165816 167931 172298 173383 175077 177072 178976 183582 188972 196912 198152 200088 201348 206584 209219 209808 214179 215968 218736 221088 221526 222921 223908 230112 232407 233436 234906 239904 242964 244776 258447 261226 265608 266784 268464 283458 285572 295368 297228 298544 309876 311248 313208 317203 323952 326368 330701 331632 335862 344596 346766 350154 352359 354144 367164 377944 391839 393824 396304 400176 402696 413168 418438 419616 425187 428358 437472 443052 445842 447816 464814 466872 469812 485928 489552 516894 520149 522452 531216 536928 566916 571144 578429 590736 594456 597088 603043 619752 622496 626416 627657 634406 642537 647904 661402 663264 671724 689192 693532 700308 704718 734328 755888 775341 783678 792608 800352 805392 826336 836876 850374 856716 886104 891684 895632 914291 929628 933744 939624 951609 971856 979104 992103 1033788 1040298 1044904 1062432 1133832 1142288 1156858 1175517 1181472 1188912 1206086 1213681 1239504 1252832 1255314 1268812 1285074 1322804 1343448 1378384 1387064 1400616 1409436 1464533 1468656 1511776 1550682 1560447 1567356 1610784 1673752 1700748 1713432 1735287 1772208 1783368 1791264 1809129 1828582 1859256 1867488 1879248 1882971 1903218 1943712 1984206 2067576 2080596 2089808 2220421 2267664 2284576 2313716 2351034 2377824 2412172 2427362 2479008 2510628 2537624 2570148 2645608 2686896 2742873 2756768 2774128 2801232 2818872 2854827 2929066 2937312 2976309 3101364 3120894 3134712 3347504 3401496 3426864 3470574 3544416 3566736 3618258 3641043 3657164 3718512 3758496 3765942 3806436 3968412 4049003 4135152 4161192 4179616 4393599 4440842 4535328 4627432 4702068 4824344 4854724 5021256 5075248 5140296 5205861 5291216 5373792 5427387 5485746 5548256 5602464 5637744 5709654 5858132 5952618 6202728 6241788 6269424 6661263 6695008 6802992 6853728 6941148 7133472 7236516 7282086 7314328 7437024 7531884 7612872 7936824 8098006 8228619 8270304 8322384 8787198 8881684 9254864 9404136 9648688 9709448 9833293 10042512 10150496 10251731 10280592 10411722 10582432 10854774 10923129 10971492 11275488 11419308 11716264 11905236 12147009 12405456 12483576 12538848 13180797 13322526 13605984 13882296 14473032 14564172 14628656 15063768 15225744 15542947 15873648 16196012 16457238 16644768 17574396 17763368 18509728 18808272 19297376 19418896 19666586 19983789 20085024 20503462 20561184 20823444 21709548 21846258 21942984 22838616 23432528 23810472 24294018 24810912 24967152 26361594 26645052 27764592 28343021 28946064 29128344 29257312 29499879 30127536 30451488 30755193 31085894 31747296 32392024 32914476 35148792 35526736 36441027 37616544 38837792 39333172 39967578 41006924 41646888 43419096 43692516 43885968 45677232 46628841 46865056 47620944 48588036 49934304 52723188 53290104 55529184 56686042 57892128 58256688 58999758 60255072 61510386 62171788 64784048 65828952 68833051 70297584 71053472 72882054 78666344 79935156 82013848 83293776 85029063 86838192 87385032 87771936 88499637 91354464 92265579 93257682 95241888 97176072 105446376 106580208 113372084 116513376 117999516 123020772 124343576 129568096 131657904 137666102 139886523 140595168 145764108 157332688 159870312 164027696 166587552 170058126 173676384 174770064 176999274 184531158 186515364 194352144 206499153 210892752 213160416 226744168 235999032 246041544 248687152 255087189 263315808 275332204 279773046 291528216 314665376 319740624 328055392 340116252 349540128 353998548 369062316 373030728 388704288 412998306 421785504 453488336 471998064 481831357 492083088 497374304 510174378 550664408 559546092 583056432 619497459 639481248 680232504 707997096 738124632 746061456 825996612 906976672 943996128 963662714 984166176 1020348756 1101328816 1119092184 1166112864 1238994918 1360465008 1415994192 1445494071 1476249264 1492122912 1651993224 1927325428 2040697512 2202657632 2238184368 2477989836 2720930016 2831988384 2890988142 2952498528 3303986448 3854650856 4081395024 4336482213 4476368736 4955979672 5781976284 6607972896 7709301712 8162790048 8672964426 9911959344 11563952568 15418603424 17345928852 19823918688 23127905136 34691857704 46255810272 69383715408 138767430816
• Sum of all divisors σ(n): 513695250432
• Sum of proper divisors (its aliquot sum) s(n): 374927819616
• 138767430816 is an abundant number, because the sum of its proper divisors (374927819616) is greater than itself. Its abundance is 236160388800

Bases of 138767430816

• Binary: 10000001001111001011101111010010100000₂
• Hexadecimal: 0x204F2EF4A0
• Base-36: 1RQYJMW0

Squares and roots of 138767430816

• 138767430816 squared (138767430816²) is 19256399855273346425856
• 138767430816 cubed (138767430816³) is 2672161134681876512918773353578496
• The square root of 138767430816 is 372515.0075043955
• The cube root of 138767430816 is 5177.2108091081

Scales and comparisons

• 138,767,430,816 seconds is equal to 4,412 years, 19 weeks, 3 days, 12 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,767,430,816 would take you about eight thousand, eight hundred twenty-four 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 138767430816 cubic inches would be around 431.4 feet tall.

Recreational maths with 138767430816

• 138767430816 backwards is 618034767831
• The number of decimal digits it has is: 12
• The sum of 138767430816's digits is 54
• More coming soon!