138634216961520
138,634,216,961,520 is an even composite number composed of seven prime numbers multiplied together.
138634216961520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138634216961520:
24 × 3 × 5 × 7 × 1012 × 1372 × 431
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 101 × 101 × 137 × 137 × 431)See below for interesting mathematical facts about the number 138634216961520 from the Numbermatics database.
Names of 138634216961520
- Cardinal: 138634216961520 can be written as One hundred thirty-eight trillion, six hundred thirty-four billion, two hundred sixteen million, nine hundred sixty-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3863421696152 × 1014
Factors of 138634216961520
Divisors of 138634216961520
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 101 105 112 120 137 140 168 202 210 240 274 280 303 336 404 411 420 431 505 548 560 606 685 707 808 822 840 862 959 1010 1096 1212 1293 1370 1414 1515 1616 1644 1680 1724 1918 2020 2055 2121 2155 2192 2424 2586 2740 2828 2877 3017 3030 3288 3448 3535 3836 4040 4110 4242 4310 4795 4848 5172 5480 5656 5754 6034 6060 6465 6576 6896 7070 7672 8080 8220 8484 8620 9051 9590 10201 10344 10605 10960 11312 11508 12068 12120 12930 13837 14140 14385 15085 15344 16440 16968 17240 18102 18769 19180 20402 20688 21210 23016 24136 24240 25860 27674 28280 28770 30170 30603 32880 33936 34480 36204 37538 38360 40804 41511 42420 43531 45255 46032 48272 51005 51720 55348 56307 56560 57540 59047 60340 61206 69185 71407 72408 75076 76720 81608 83022 84840 87062 90510 93845 96859 102010 103440 110696 112614 115080 118094 120680 122412 130593 131383 138370 142814 144816 150152 153015 163216 166044 169680 174124 177141 181020 187690 193718 204020 207555 214221 217655 221392 225228 230160 236188 241360 244824 261186 262766 276740 281535 285628 290577 295235 300304 304717 306030 332088 348248 354282 357035 362040 375380 387436 394149 408040 413329 415110 428442 435310 450456 472376 484295 489648 522372 525532 553480 563070 571256 581154 590470 609434 612060 652965 656915 664176 696496 708564 714070 724080 750760 774872 788298 816080 826658 830220 856884 870620 885705 900912 914151 944752 968590 1044744 1051064 1071105 1106960 1126140 1142512 1162308 1180940 1218868 1224120 1239987 1305930 1313830 1397537 1417128 1428140 1452885 1501520 1523585 1549744 1576596 1653316 1660440 1713768 1741240 1771410 1828302 1895669 1937180 1970745 2066645 2089488 2102128 2142210 2252280 2324616 2361880 2437736 2448240 2479974 2611860 2627660 2795074 2834256 2856280 2905770 3047170 3153192 3306632 3320880 3427536 3482480 3542820 3656604 3791338 3874360 3941490 4133290 4192611 4284420 4396631 4504560 4570755 4649232 4723760 4875472 4959948 5223720 5255320 5590148 5687007 5712560 5811540 5963747 6094340 6199935 6306384 6613264 6987685 7085640 7313208 7582676 7748720 7882980 8089439 8266580 8385222 8568840 8793262 9141510 9478345 9782759 9919896 10447440 10510640 11180296 11374014 11623080 11927494 12188680 12399870 13189893 13269683 13975370 14171280 14626416 15165352 15765960 16178878 16533160 16770444 17137680 17586524 17891241 18283020 18956690 19565518 19839792 20963055 21983155 22360592 22748028 23246160 23854988 24268317 24377360 24799740 26379786 26539366 27950740 28435035 29348277 29818735 30330704 30776417 31531920 32357756 33066320 33540888 35173048 35782482 36566040 37913380 39131036 39809049 40447195 41746229 41926110 43966310 45496056 47709976 48536634 48913795 49599480 52759572 53078732 55901480 56626073 56870070 58696554 59637470 61552834 64715512 65949465 66348415 67081776 70346096 71564964 73132080 75826760 78262072 79618098 80894390 83492458 83852220 87932620 89456205 90992112 92329251 95419952 97073268 97827590 99198960 105519144 106157464 111802960 113252146 113740140 117393108 119274940 121341585 123105668 125238687 129431024 131898930 132696830 143129928 146741385 151653520 153882085 156524144 159236196 161788780 166984916 167704440 169878219 175865240 178912410 184658502 191462569 194146536 195655180 199045245 208731145 211038288 212314928 226504292 227480280 234786216 238549880 242683170 246211336 250477374 263797860 265393660 283130365 286259856 293482770 307764170 318472392 323577560 333969832 335408880 339756438 351730480 357824820 369317004 382925138 388293072 391310360 398090490 417462290 453008584 454960560 461646255 469572432 477099760 485366340 492422672 500954748 527595720 530787320 566260730 574387707 586965540 602338447 615528340 626193435 636944784 647155120 667939664 679512876 715649640 738634008 765850276 782620720 796180980 817033339 834924580 849391095 906017168 923292510 957312845 970732680 1001909496 1055191440 1061574640 1132521460 1148775414 1173931080 1204676894 1231056680 1252386870 1340237983 1359025752 1431299280 1477268016 1531700552 1592361960 1634066678 1669849160 1698782190 1807015341 1846585020 1914625690 1941465360 2003818992 2265042920 2297550828 2347862160 2409353788 2451100017 2462113360 2504773740 2680475966 2718051504 2871938535 3011692235 3063401104 3184723920 3268133356 3339698320 3397564380 3614030682 3693170040 3829251380 4020713949 4085166695 4216369129 4530085840 4595101656 4818707576 4902200034 5009547480 5360951932 5719233373 5743877070 6023384470 6536266712 6701189915 6795128760 7228061364 7386340080 7658502760 8041427898 8170333390 8432738258 9035076705 9190203312 9637415152 9804400068 10019094960 10721903864 11438466746 11487754140 12046768940 12255500085 12649107387 13072533424 13402379830 13590257520 14456122728 15317005520 16082855796 16340666780 16865476516 17157700119 18070153410 19608800136 20103569745 21081845645 21443807728 22876933492 22975508280 24093537880 24511000170 25298214774 26804759660 28596166865 28912245456 32165711592 32681333560 33730953032 34315400238 36140306820 39217600272 40207139490 42163691290 45753866984 45951016560 48187075760 49022000340 50596429548 53609519320 57192333730 63245536935 64331423184 65362667120 67461906064 68630800476 72280613640 80414278980 82520367239 84327382580 85788500595 91507733968 98044000680 101192859096 107219038640 114384667460 126491073870 137261600952 144561227280 160828557960 165040734478 168654765160 171577001190 196088001360 202385718192 228769334920 247561101717 252982147740 274523201904 321657115920 330081468956 337309530320 343154002380 412601836195 457538669840 495122203434 505964295480 577642570673 660162937912 686308004760 825203672390 990244406868 1011928590960 1155285141346 1237805508585 1320325875824 1372616009520 1650407344780 1732927712019 1980488813736 2310570282692 2475611017170 2888212853365 3300814689560 3465855424038 3960977627472 4621140565384 4951222034340 5776425706730 6601629379120 6931710848076 8664638560095 9242281130768 9902444068680 11552851413460 13863421696152 17329277120190 19804888137360 23105702826920 27726843392304 34658554240380 46211405653840 69317108480760 138634216961520
- Sum of all divisors σ(n): 500879195679744
- Sum of proper divisors (its aliquot sum) s(n): 362244978718224
- 138634216961520 is an abundant number, because the sum of its proper divisors (362244978718224) is greater than itself. Its abundance is 223610761756704
Bases of 138634216961520
- Binary: 111111000010110010010110100000101110101111100002
- Hexadecimal: 0x7E164B4175F0
- Base-36: 1D53OHCKXC
Squares and roots of 138634216961520
- 138634216961520 squared (1386342169615202) is 19219446112533799661160710400
- 138634216961520 cubed (1386342169615203) is 2664472862245252915649579786506292663808000
-
The
square root of 138634216961520 is 11774303.2473909045 -
The
cube root of 138634216961520 is 51755.5360704783
Scales and comparisons
How big is 138634216961520?- 138,634,216,961,520 seconds is equal to 4,408,139 years, 14 weeks, 2 days, 7 hours, 32 minutes.
-
To count from 1 to 138,634,216,961,520 would take you about eleven million, twenty thousand, three hundred forty-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 138634216961520 cubic inches would be around 4313 feet tall.
Recreational maths with 138634216961520
- 138634216961520 backwards is 025169612436831
- The number of decimal digits it has is: 15
- The sum of 138634216961520's digits is 57
- More coming soon!
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