138734521988608

Names of 138734521988608

• Cardinal: 138734521988608 can be written as One hundred thirty-eight trillion, seven hundred thirty-four billion, five hundred twenty-one million, nine hundred eighty-eight thousand, six hundred eight.

Scientific notation

• Scientific notation: 1.38734521988608 × 10¹⁴

Factors of 138734521988608

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 7454

Divisors of 138734521988608

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 109 112 119 128 136 182 208 218 221 224 227 238 256 272 364 416 436 442 448 454 476 512 544 728 763 832 872 884 896 908 952 1088 1417 1456 1526 1547 1589 1664 1744 1768 1792 1816 1853 1904 2176 2834 2912 2951 3052 3094 3178 3328 3488 3536 3584 3632 3706 3808 3859 4352 5668 5824 5902 6104 6188 6356 6656 6976 7072 7079 7264 7412 7616 7718 8704 9919 11336 11648 11804 12208 12376 12712 12971 13952 14144 14158 14528 14824 15232 15436 19838 20657 22672 23296 23608 24089 24416 24743 24752 25424 25942 27013 27904 28288 28316 29056 29648 30464 30872 39676 41314 45344 46592 47216 48178 48832 49486 49504 49553 50167 50848 51884 54026 55808 56576 56632 58112 59296 60928 61744 79352 82628 90688 92027 94432 96356 97664 98972 99008 99106 100334 101696 103768 108052 113152 113264 116224 118592 120343 123488 158704 165256 168623 173201 181376 184054 188864 192712 195328 197944 198016 198212 200668 203392 207536 216104 226528 237184 240686 246976 317408 321659 330512 337246 346402 351169 362752 368108 377728 385424 390656 395888 396032 396424 401336 406784 415072 420631 432208 453056 474368 481372 493952 634816 643318 644189 661024 674492 692804 702338 725504 736216 755456 770848 771611 791776 792064 792848 802672 813568 830144 841262 842401 864416 906112 948736 962744 987904 1269632 1286636 1288378 1322048 1348984 1385608 1404676 1472432 1510912 1541696 1543222 1564459 1583552 1585696 1605344 1606933 1660288 1682524 1684802 1728832 1812224 1925488 1975808 2251613 2539264 2573272 2576756 2644096 2697968 2771216 2809352 2944417 2944864 3083392 3086444 3128918 3167104 3171392 3210688 3213866 3320576 3365048 3369604 3457664 3624448 3850976 4503226 5078528 5146544 5153512 5288192 5395936 5401277 5468203 5542432 5618704 5888834 5889728 6166784 6172888 6257836 6334208 6342784 6421376 6427732 6641152 6730096 6739208 6915328 7701952 9006452 10030943 10293088 10307024 10576384 10791872 10802554 10936406 10951213 11084864 11237408 11248531 11777668 11779456 12333568 12345776 12515672 12668416 12685568 12842752 12855464 13117387 13460192 13478416 13830656 15403904 18012904 20061886 20586176 20614048 20890129 21583744 21605108 21872812 21902426 22169728 22474816 22497062 23555336 23558912 24691552 25031344 25371136 25685504 25710928 26234774 26920384 26956832 27317861 30807808 36025808 38277421 40123772 41172352 41228096 41780258 43167488 43210216 43745624 43804852 44339456 44949632 44994124 47110672 47117824 49383104 50062688 51421856 52469548 53840768 53913664 54635722 61615616 70216601 72051616 76554842 80247544 82344704 82456192 83560516 86334976 86420432 87491248 87609704 88678912 89899264 89988248 91821709 94221344 98766208 100125376 102843712 104939096 107681536 107827328 109271444 140433202 144103232 146230903 153109684 160495088 164689408 164912384 167121032 170526031 172840864 174982496 175155697 175219408 179798528 179976496 183643418 188442688 191225027 197532416 200250752 205687424 209878192 215363072 215654656 218542888 280866404 288206464 292461806 306219368 320990176 329824768 334242064 341052062 345681728 349964992 350311394 350438816 355132193 359952992 367286836 376885376 382450054 395064832 400501504 411374848 419756384 431309312 437085776 561732808 576412928 584923612 612438736 641980352 668484128 682104124 691363456 699929984 700622788 700877632 710264386 719905984 734573672 753770752 764900108 801003008 822749696 839512768 874171552 1123465616 1152825856 1169847224 1193682217 1224877472 1226089879 1283960704 1336968256 1364208248 1382726912 1399859968 1401245576 1401755264 1420528772 1439811968 1469147344 1507541504 1529800216 1679025536 1748343104 2246931232 2277024061 2339694448 2387364434 2449754944 2452179758 2485925351 2567921408 2673936512 2728416496 2765453824 2799719936 2802491152 2803510528 2841057544 2879623936 2938294688 2977646849 3059600432 3358051072 3496686208 4493862464 4554048122 4679388896 4774728868 4899509888 4904359516 4971850702 5135842816 5347873024 5456832992 5604982304 5607021056 5682115088 5759247872 5876589376 5955293698 6119200864 6716102144 6993372416 8987724928 9108096244 9358777792 9549457736 9799019776 9808719032 9943701404 10695746048 10913665984 11209964608 11364230176 11753178752 11910587396 12238401728 13986744832 15939168427 17975449856 18216192488 18717555584 19098915472 19598039552 19617438064 19887402808 20843527943 21827331968 22419929216 22728460352 23506357504 23821174792 24476803456 31878336854 35950899712 36432384976 37435111168 38197830944 38709409037 39234876128 39774805616 41687055886 43654663936 44839858432 45456920704 47012715008 47642349584 48953606912 63756673708 72864769952 74870222336 76395661888 77418818074 78469752256 79549611232 83374111772 87309327872 89679716864 90913841408 95284699168 97907213824 127513347416 145729539904 152791323776 154837636148 156939504512 159099222464 166748223544 181827682816 190569398336 255026694832 270965863259 291459079808 305582647552 309675272296 313879009024 318198444928 333496447088 381138796672 510053389664 541931726518 582918159616 611165295104 619350544592 627758018048 636396889856 666992894176 762277593344 1020106779328 1083863453036 1165836319232 1238701089184 1272793779712 1333985788352 1524555186688 2040213558656 2167726906072 2477402178368 2667971576704 4080427117312 4335453812144 4954804356736 5335943153408 8160854234624 8670907624288 9909608713472 10671886306816 17341815248576 19819217426944 34683630497152 69367260994304 138734521988608
• Sum of all divisors σ(n): 366207261235200
• Sum of proper divisors (its aliquot sum) s(n): 227472739246592
• 138734521988608 is an abundant number, because the sum of its proper divisors (227472739246592) is greater than itself. Its abundance is 88738217257984

Bases of 138734521988608

• Binary: 11111100010110110100101111001101011011000000000₂
• Hexadecimal: 0x7E2DA5E6B600
• Base-36: 1D6DRCDF5S

Squares and roots of 138734521988608

• 138734521988608 squared (138734521988608²) is 19247267591407556650881777664
• 138734521988608 cubed (138734521988608³) is 2670260468880753806746689417358471396851712
• The square root of 138734521988608 is 11778561.9660724289
• The cube root of 138734521988608 is 51768.0151660593

Scales and comparisons

• 138,734,521,988,608 seconds is equal to 4,411,328 years, 34 weeks, 4 days, 3 hours, 3 minutes, 28 seconds.
• To count from 1 to 138,734,521,988,608 would take you about eleven million, twenty-eight thousand, three hundred twenty-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 138734521988608 cubic inches would be around 4314 feet tall.

Recreational maths with 138734521988608

• 138734521988608 backwards is 806889125437831
• The number of decimal digits it has is: 15
• The sum of 138734521988608's digits is 73
• More coming soon!