138779649216
138,779,649,216 is an even composite number composed of seven prime numbers multiplied together.
138779649216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138779649216:
26 × 33 × 13 × 19 × 23 × 67 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 19 × 23 × 67 × 211)See below for interesting mathematical facts about the number 138779649216 from the Numbermatics database.
Names of 138779649216
- Cardinal: 138779649216 can be written as One hundred thirty-eight billion, seven hundred seventy-nine million, six hundred forty-nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38779649216 × 1011
Factors of 138779649216
Divisors of 138779649216
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 23 24 26 27 32 36 38 39 46 48 52 54 57 64 67 69 72 76 78 92 96 104 108 114 117 134 138 144 152 156 171 184 192 201 207 208 211 216 228 234 247 268 276 288 299 304 312 342 351 368 402 414 416 422 432 437 456 468 494 513 536 552 576 598 603 608 621 624 633 684 702 736 741 804 828 832 844 864 871 874 897 912 936 988 1026 1072 1104 1196 1206 1216 1242 1248 1266 1273 1311 1368 1404 1472 1482 1541 1608 1656 1688 1728 1742 1748 1794 1809 1824 1872 1899 1976 2052 2144 2208 2223 2392 2412 2484 2496 2532 2546 2613 2622 2691 2736 2743 2808 2964 3082 3216 3312 3376 3484 3496 3588 3618 3648 3744 3798 3819 3933 3952 4009 4104 4288 4416 4446 4623 4784 4824 4853 4968 5064 5092 5226 5244 5382 5472 5486 5616 5681 5697 5928 6164 6432 6624 6669 6752 6968 6992 7176 7236 7488 7596 7638 7839 7866 7904 8018 8073 8208 8229 8892 9246 9568 9648 9706 9936 10128 10184 10452 10488 10764 10944 10972 11232 11362 11394 11457 11799 11856 12027 12328 12864 13248 13338 13504 13869 13936 13984 14137 14352 14472 14559 15192 15276 15678 15732 15808 16036 16146 16416 16458 16549 17043 17784 18492 19136 19296 19412 19872 20033 20256 20368 20904 20976 21528 21944 22464 22724 22788 22914 23517 23598 23712 24054 24656 24687 26676 27738 27872 27968 28274 28704 28944 29118 29279 30384 30552 31356 31464 32072 32292 32832 32916 33098 34086 34371 35568 36081 36984 38592 38824 39744 40066 40512 40736 41607 41808 41952 42411 43056 43677 43888 45448 45576 45828 47034 47196 47424 48108 49312 49374 49647 51129 52117 53352 55476 55744 56548 57408 57888 58236 58558 60099 60768 61104 62712 62928 63089 64144 64584 65832 66196 68172 68742 71136 72162 73968 74061 77648 80132 81472 83214 83616 83904 84822 86112 87354 87776 87837 90896 91152 91656 92207 94068 94392 96216 98624 98748 99294 102258 104234 106704 108243 110952 113096 115776 116472 117116 120198 121536 122208 125424 125856 126178 127233 128288 129168 131031 131664 132392 136344 137484 142272 144324 147936 148122 148941 153387 155296 156351 160264 166428 167232 169644 172224 174708 175552 175674 180297 181792 182304 183312 183781 184414 188136 188784 189267 192432 197496 198588 204516 208468 213408 216486 221904 226192 232944 234232 240396 244416 250848 251712 252356 254466 256576 258336 262062 263328 263511 264784 268603 272688 274968 276621 288648 295872 296244 297882 306774 310592 312702 320528 325151 332856 339288 349416 351348 360594 363584 364608 366624 367562 368828 376272 377568 378534 380627 381699 384864 394992 397176 409032 416936 426816 432972 443808 446823 452384 465888 468464 469053 480792 501696 504712 508932 516672 524124 526656 527022 529568 537206 540891 545376 549936 551343 553242 567801 577296 592488 595764 613548 625404 641056 650302 665712 678576 698832 702696 721188 733248 735124 737656 752544 755136 757068 761254 763398 769728 789984 790533 794352 805809 818064 829863 833872 865944 887616 893646 904768 931776 936928 938106 961584 975453 1009424 1017864 1048248 1054044 1059136 1074412 1081782 1090752 1099872 1102686 1106484 1135602 1141881 1154592 1184976 1191528 1198691 1227096 1250808 1282112 1300604 1331424 1357152 1397664 1405392 1407159 1442376 1470248 1475312 1505088 1514136 1522508 1526796 1579968 1581066 1588704 1611618 1636128 1654029 1659726 1667744 1703403 1731888 1787292 1873856 1876212 1923168 1950906 2018848 2035728 2096496 2108088 2148824 2163564 2199744 2205372 2212968 2271204 2283762 2309184 2369952 2383056 2397382 2417427 2454192 2489589 2501616 2601208 2662848 2714304 2795328 2810784 2814318 2884752 2926359 2940496 2950624 3028272 3045016 3053592 3162132 3177408 3223236 3272256 3308058 3319452 3335488 3406806 3425643 3463776 3491839 3574584 3596073 3752424 3846336 3901812 4037696 4071456 4192992 4216176 4226963 4297648 4327128 4410744 4425936 4542408 4567524 4739904 4766112 4794764 4834854 4908384 4962087 4979178 5003232 5202416 5621568 5628636 5769504 5852718 5880992 5901248 6056544 6090032 6107184 6177869 6324264 6446472 6616116 6638904 6813612 6851286 6927552 6983678 7149168 7192146 7252281 7504848 7803624 8142912 8385984 8432352 8453926 8595296 8654256 8779077 8821488 8851872 9084816 9135048 9532224 9589528 9669708 9816768 9924174 9958356 10006464 10276929 10404832 10475517 10788219 11257272 11539008 11705436 11761984 12113088 12180064 12214368 12355738 12648528 12680889 12892944 13232232 13277808 13627224 13702572 13967356 14298336 14384292 14504562 15009696 15607248 16864704 16907852 17190592 17308512 17558154 17642976 17703744 18169632 18270096 18533607 19179056 19339416 19848348 19916712 20553858 20809664 20951034 21576438 22514544 23410872 24360128 24428736 24711476 25297056 25361778 25785888 26464464 26555616 27254448 27405144 27934712 28596672 28768584 29009124 30019392 31214496 31426551 32364657 33815704 34617024 35116308 35285952 36339264 36540192 37067214 38042667 38358112 38678832 39696696 39833424 41107716 41902068 43152876 45029088 46821744 49422952 50594112 50723556 51571776 52928928 53111232 54508896 54810288 55600821 55869424 57537168 58018248 62428992 62853102 64729314 67631408 70232616 73080384 74134428 76085334 76716224 77357664 79393392 79666848 80312297 82215432 83804136 86305752 90058176 93643488 94279653 98845904 101447112 105857856 109017792 109620576 111201642 111738848 114128001 115074336 116036496 125706204 129458628 135262816 140465232 148268856 152170668 154715328 158786784 159333696 160624594 164430864 166802463 167608272 172611504 187286976 188559306 197691808 202894224 219241152 222403284 223477696 228256002 230148672 232072992 240936891 251412408 258917256 270525632 280930464 296537712 304341336 317573568 321249188 328861728 333604926 335216544 345223008 377118612 395383616 405788448 444806568 456512004 464145984 481873782 502824816 517834512 561860928 593075424 608682672 642498376 657723456 667209852 670433088 690446016 722810673 754237224 811576896 889613136 913024008 963747564 1005649632 1035669024 1186150848 1217365344 1284996752 1334419704 1445621346 1508474448 1779226272 1826048016 1927495128 2011299264 2071338048 2168432019 2434730688 2569993504 2668839408 2891242692 3016948896 3558452544 3652096032 3854990256 4336864038 5139987008 5337678816 5782485384 6033897792 7304192064 7709980512 8673728076 10675357632 11564970768 15419961024 17347456152 23129941536 34694912304 46259883072 69389824608 138779649216
- Sum of all divisors σ(n): 492127641600
- Sum of proper divisors (its aliquot sum) s(n): 353347992384
- 138779649216 is an abundant number, because the sum of its proper divisors (353347992384) is greater than itself. Its abundance is 214568343168
Bases of 138779649216
- Binary: 100000010011111110100101100100110000002
- Hexadecimal: 0x204FE964C0
- Base-36: 1RR5TIO0
Squares and roots of 138779649216
- 138779649216 squared (1387796492162) is 19259791036516009414656
- 138779649216 cubed (1387796492163) is 2672867044021152833334113169309696
-
The
square root of 138779649216 is 372531.4070195961 -
The
cube root of 138779649216 is 5177.3627548871
Scales and comparisons
How big is 138779649216?- 138,779,649,216 seconds is equal to 4,412 years, 39 weeks, 4 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,779,649,216 would take you about eight thousand, eight hundred twenty-five 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 138779649216 cubic inches would be around 431.4 feet tall.
Recreational maths with 138779649216
- 138779649216 backwards is 612946977831
- The number of decimal digits it has is: 12
- The sum of 138779649216's digits is 63
- More coming soon!
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