138646709469184

Names of 138646709469184

• Cardinal: 138646709469184 can be written as One hundred thirty-eight trillion, six hundred forty-six billion, seven hundred nine million, four hundred sixty-nine thousand, one hundred eighty-four.

Scientific notation

• Scientific notation: 1.38646709469184 × 10¹⁴

Factors of 138646709469184

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 242

Divisors of 138646709469184

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 7 8 14 16 23 28 32 37 41 46 56 61 64 71 74 82 92 112 122 128 142 148 161 164 184 224 244 256 259 284 287 296 322 328 368 427 448 488 497 512 518 568 574 592 644 656 736 851 854 896 943 976 994 1024 1036 1136 1148 1184 1288 1312 1403 1472 1517 1633 1702 1708 1792 1886 1952 1988 2048 2072 2257 2272 2296 2368 2501 2576 2624 2627 2806 2911 2944 3034 3266 3404 3416 3584 3772 3904 3976 4096 4144 4331 4514 4544 4592 4736 5002 5152 5248 5254 5612 5822 5888 5957 6068 6532 6601 6808 6832 7168 7544 7808 7952 8192 8288 8662 9028 9088 9184 9472 9821 10004 10304 10496 10508 10619 11224 11431 11644 11776 11914 12136 13064 13202 13616 13664 14336 15088 15616 15799 15904 16384 16576 17324 17507 18056 18176 18368 18389 18944 19642 20008 20377 20608 20992 21016 21238 22448 22862 23288 23552 23828 24272 26128 26404 27232 27328 28672 30176 30317 31232 31598 31808 32768 33152 34648 34891 35014 36112 36352 36736 36778 37888 39284 40016 40754 41216 41984 42032 42476 44896 45724 46576 47104 47656 48544 51911 52256 52808 54464 54656 57344 57523 60352 60421 60634 62464 63196 63616 65536 66304 66953 69296 69782 70028 72224 72704 73472 73556 75776 78568 80032 81508 82432 83968 84064 84952 89792 91448 92537 93152 94208 95312 97088 99613 103822 104512 105616 107707 108928 109312 114688 115046 120704 120842 121268 124928 126392 127232 131072 132608 133906 138592 139564 140056 144448 145408 146944 147112 151552 157136 160064 160247 163016 164864 167936 168128 169904 177571 179584 182896 185074 186304 188416 190624 194176 199226 207644 209024 211232 215414 217856 218624 229376 230092 241408 241684 242536 244237 249856 252784 254464 265216 267812 277184 279128 280112 288896 290816 293888 294224 303104 314272 320128 320494 326032 329728 335872 336256 339808 355142 359168 363377 365792 370148 372608 376832 381248 388352 398452 402661 415288 418048 422464 422947 430828 435712 437248 458752 460184 468671 482816 483368 485072 488474 499712 505568 508928 530432 535624 554368 558256 560224 577792 581632 587776 588448 606208 628544 640256 640988 647759 652064 659456 671744 672512 679616 697291 710284 718336 726754 731584 740296 745216 753664 753949 762496 776704 796904 805322 830576 836096 844928 845894 861656 871424 874496 917504 920368 937342 965632 966736 970144 976948 999424 1011136 1017856 1060864 1071248 1108736 1116512 1120448 1121729 1155584 1163264 1175552 1176896 1212416 1242997 1257088 1280512 1281976 1295518 1304128 1318912 1343488 1345024 1359232 1394582 1420568 1436672 1453508 1463168 1480592 1490432 1507328 1507898 1524992 1553408 1593808 1610644 1661152 1672192 1689856 1691788 1723312 1742848 1748992 1840736 1874684 1931264 1933472 1940288 1953896 1998848 2022272 2035712 2121728 2128351 2142496 2217472 2233024 2240896 2243458 2311168 2326528 2351104 2353792 2424832 2477261 2485994 2514176 2561024 2563952 2591036 2608256 2637824 2686976 2690048 2718464 2789164 2841136 2873344 2907016 2926336 2961184 2980864 3014656 3015796 3049984 3106816 3187616 3221288 3322304 3344384 3379712 3383576 3446624 3485696 3497984 3681472 3685681 3749368 3862528 3866944 3880576 3907792 3997696 4044544 4071424 4084133 4243456 4256702 4284992 4434944 4466048 4481792 4486916 4622336 4653056 4702208 4707584 4849664 4954522 4971988 5028352 5122048 5127904 5182072 5216512 5275648 5373952 5380096 5436928 5578328 5682272 5746688 5814032 5852672 5922368 5961728 6031592 6099968 6213632 6375232 6442576 6570127 6644608 6688768 6759424 6767152 6893248 6971392 6995968 7362944 7371362 7498736 7725056 7733888 7761152 7815584 7995392 8089088 8142848 8168266 8486912 8513404 8569984 8869888 8932096 8963584 8973832 9244672 9306112 9404416 9415168 9909044 9943976 10056704 10244096 10255808 10364144 10433024 10551296 10760192 10873856 11156656 11364544 11493376 11628064 11705344 11844736 11923456 12063184 12199936 12427264 12750464 12885152 13140254 13289216 13377536 13518848 13534304 13786496 13942784 13991936 14725888 14742724 14898457 14997472 15450112 15467776 15522304 15631168 16178176 16285696 16336532 16973824 17026808 17139968 17340827 17739776 17864192 17927168 17947664 18489344 18808832 18830336 19818088 19887952 20113408 20488192 20511616 20728288 20866048 21102592 21520384 21747712 22313312 22729088 22986752 23256128 23410688 23689472 23846912 24126368 24399872 24854528 25500928 25770304 25799767 26280508 26578432 26755072 27037696 27068608 27572992 27885568 27983872 28588931 29451776 29485448 29796914 29994944 30900224 30935552 31044608 31262336 32356352 32571392 32673064 33947648 34053616 34279936 34681654 35479552 35728384 35854336 35895328 36978688 37617664 37660672 39636176 39775904 40226816 40976384 41023232 41456576 41732096 43040768 43495424 44626624 45458176 45973504 45990889 46512256 46821376 47378944 47693824 48252736 48799744 49709056 51001856 51540608 51599534 52561016 53156864 53510144 54075392 54137216 55145984 55771136 55967744 57177862 58903552 58970896 59593828 59989888 61800448 61871104 62089216 62524672 64712704 65142784 65346128 68107232 68559872 69363308 70959104 71456768 71708672 71790656 73957376 75321344 79272352 79551808 80453632 81952768 82046464 82913152 83464192 86081536 86990848 89253248 90916352 91947008 91981778 93024512 93642752 94757888 95387648 96505472 97599488 99418112 102003712 103081216 103199068 105122032 106313728 107020288 108150784 108274432 110291968 111542272 114355724 117807104 117941792 119187656 119979776 123600896 123742208 124178432 125049344 129425408 130692256 136214464 137119744 138726616 141918208 142913536 143417344 143581312 147914752 150642688 151112921 158544704 159103616 160907264 163905536 164092928 165826304 166928384 172163072 173981696 178506496 181832704 183894016 183963556 186049024 187285504 189515776 190775296 193010944 195198976 198836224 204007424 206162432 206398136 210244064 212627456 214040576 216301568 216548864 220583936 228711448 235614208 235883584 238375312 239959552 247484416 248356864 250098688 258850816 261384512 272428928 274239488 277453232 283836416 285827072 286834688 287162624 295829504 301285376 302225842 317089408 318207232 321814528 327811072 328185856 331652608 333856768 344326144 347963392 357012992 363665408 367927112 372098048 374571008 379031552 381550592 386021888 390397952 408014848 412324864 412796272 420488128 425254912 432603136 433097728 441167872 457422896 471228416 471767168 476750624 479919104 494968832 496713728 500197376 517701632 522769024 544857856 548478976 554906464 567672832 571654144 573669376 574325248 602570752 604451684 634178816 636414464 643629056 656371712 663305216 667713536 695926784 714025984 727330816 735854224 744196096 749142016 758063104 772043776 780795904 816029696 824649728 825592544 840976256 850509824 865206272 866195456 882335744 914845792 942456832 943534336 953501248 959838208 989937664 993427456 1000394752 1035403264 1045538048 1057790447 1089715712 1096957952 1109812928 1143308288 1147338752 1148650496 1205141504 1208903368 1268357632 1272828928 1287258112 1312743424 1326610432 1335427072 1391853568 1428051968 1454661632 1471708448 1488392192 1498284032 1516126208 1544087552 1632059392 1649299456 1651185088 1681952512 1701019648 1732390912 1764671488 1829691584 1884913664 1887068672 1907002496 1919676416 1979875328 1986854912 2000789504 2070806528 2091076096 2115580894 2179431424 2193915904 2219625856 2286616576 2294677504 2297300992 2410283008 2417806736 2536715264 2545657856 2625486848 2653220864 2670854144 2856103936 2909323264 2943416896 2976784384 3032252416 3088175104 3264118784 3298598912 3302370176 3363905024 3402039296 3464781824 3529342976 3659383168 3769827328 3774137344 3814004992 3839352832 3959750656 3973709824 4001579008 4182152192 4231161788 4358862848 4387831808 4439251712 4573233152 4594601984 4835613472 5073430528 5091315712 5250973696 5306441728 5712207872 5818646528 5886833792 5953568768 6064504832 6176350208 6528237568 6597197824 6604740352 6727810048 6804078592 6929563648 7058685952 7318766336 7539654656 7548274688 7628009984 7678705664 7919501312 8003158016 8364304384 8462323576 8717725696 8775663616 8878503424 9189203968 9671226944 10146861056 10182631424 10501947392 10612883456 11424415744 11637293056 11773667584 11907137536 12129009664 12352700416 13056475136 13194395648 13209480704 13455620096 13859127296 14117371904 14637532672 15096549376 15256019968 15357411328 16006316032 16728608768 16924647152 17435451392 17757006848 18378407936 19342453888 20293722112 20365262848 21003894784 21225766912 22848831488 23274586112 23547335168 23814275072 24705400832 26388791296 26418961408 26911240192 27718254592 29275065344 30193098752 30512039936 30714822656 32012632064 33457217536 33849294304 34870902784 35514013696 36756815872 38684907776 40587444224 40730525696 42451533824 45697662976 47094670336 47628550144 49410801664 52777582592 52837922816 53822480384 55436509184 58550130688 60386197504 61024079872 61429645312 66914435072 67698588608 69741805568 71028027392 73513631744 77369815552 81174888448 81461051392 84903067648 91395325952 94189340672 98821603328 105675845632 107644960768 117100261376 120772395008 122048159744 133828870144 135397177216 139483611136 142056054784 147027263488 154739631104 162349776896 162922102784 188378681344 211351691264 215289921536 234200522752 241544790016 244096319488 267657740288 270794354432 278967222272 284112109568 309479262208 324699553792 376757362688 422703382528 430579843072 468401045504 483089580032 488192638976 535315480576 541588708864 568224219136 618958524416 753514725376 845406765056 861159686144 936802091008 976385277952 1083177417728 1136448438272 1237917048832 1507029450752 1690813530112 1873604182016 1952770555904 2166354835456 2272896876544 2475834097664 3014058901504 3381627060224 3747208364032 4332709670912 4951668195328 6028117803008 8665419341824 9903336390656 17330838683648 19806672781312 34661677367296 69323354734592 138646709469184
• Sum of all divisors σ(n): 358588672856064
• Sum of proper divisors (its aliquot sum) s(n): 219941963386880
• 138646709469184 is an abundant number, because the sum of its proper divisors (219941963386880) is greater than itself. Its abundance is 81295253917696

Bases of 138646709469184

• Binary: 11111100001100100110011110111100000000000000000₂
• Hexadecimal: 0x7E1933DE0000
• Base-36: 1D59F32DJ4

Squares and roots of 138646709469184

• 138646709469184 squared (138646709469184²) is 19222910046632316251045625856
• 138646709469184 cubed (138646709469184³) is 2665193224387689008573830501710298825621504
• The square root of 138646709469184 is 11774833.7342479703
• The cube root of 138646709469184 is 51757.0906097677

Scales and comparisons

• 138,646,709,469,184 seconds is equal to 4,408,536 years, 25 weeks, 6 days, 12 hours, 33 minutes, 4 seconds.
• To count from 1 to 138,646,709,469,184 would take you about eleven million, twenty-one thousand, three hundred forty-one 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 138646709469184 cubic inches would be around 4313.1 feet tall.

Recreational maths with 138646709469184

• 138646709469184 backwards is 481964907646831
• The number of decimal digits it has is: 15
• The sum of 138646709469184's digits is 76
• More coming soon!