138627661198464

Names of 138627661198464

• Cardinal: 138627661198464 can be written as One hundred thirty-eight trillion, six hundred twenty-seven billion, six hundred sixty-one million, one hundred ninety-eight thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.38627661198464 × 10¹⁴

Factors of 138627661198464

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3612

Divisors of 138627661198464

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 64 68 72 76 96 102 114 128 136 144 152 153 171 192 204 228 272 288 289 304 306 323 342 361 384 408 456 544 576 578 608 612 646 684 722 816 867 912 969 1083 1088 1152 1156 1216 1224 1292 1368 1444 1632 1734 1824 1938 2166 2176 2312 2432 2448 2584 2601 2736 2888 2907 3249 3264 3468 3571 3648 3876 4332 4624 4896 4913 5168 5202 5472 5491 5776 5814 6137 6498 6528 6859 6936 7142 7296 7752 8664 9248 9792 9826 10336 10404 10713 10944 10982 11552 11628 12274 12996 13718 13872 14284 14739 15504 16473 17328 18411 18496 19584 19652 20577 20672 20808 21426 21888 21964 23104 23256 24548 25992 27436 27744 28568 29478 31008 32139 32946 34656 36822 36992 39304 41154 41344 41616 42852 43928 44217 46208 46512 49096 49419 51984 54872 55233 55488 57136 58956 60707 61731 62016 64278 65892 67849 69312 73644 78608 82308 83232 85704 87856 88434 93024 93347 98192 98838 103968 104329 109744 110466 110976 114272 116603 117912 121414 123462 124032 128556 131784 135698 138624 147288 157216 164616 166464 171408 175712 176868 182121 186048 186694 196384 197676 203547 207936 208658 219488 220932 228544 233206 235824 242828 246924 257112 263568 271396 280041 294576 312987 314432 329232 332928 342816 349809 351424 353736 364242 372096 373388 392768 395352 407094 415872 417316 438976 441864 457088 466412 471648 485656 493848 514224 527136 542792 546363 560082 589152 610641 625974 628864 658464 685632 699618 702848 707472 728484 746776 785536 790704 814188 834632 840123 877952 883728 932824 938961 943296 971312 987696 1028448 1032019 1049427 1054272 1085584 1092726 1120164 1153433 1178304 1221282 1251948 1289131 1316928 1371264 1399236 1414944 1456968 1493552 1581408 1628376 1669264 1680246 1767456 1773593 1865648 1877922 1886592 1942624 1975392 1982251 2056896 2064038 2098854 2108544 2171168 2185452 2240328 2306866 2356608 2442564 2503896 2578262 2633856 2798472 2829888 2913936 2987104 3096057 3162816 3256752 3338528 3360492 3460299 3534912 3547186 3731296 3755844 3867393 3885248 3950784 3964502 4113792 4128076 4197708 4342336 4370904 4480656 4613732 4885128 5007792 5156524 5320779 5596944 5659776 5827872 5946753 5974208 6192114 6325632 6513504 6677056 6720984 6920598 7069824 7094372 7462592 7511688 7734786 7770496 7901568 7929004 8256152 8395416 8684672 8741808 8961312 9227464 9288171 9770256 10015584 10313048 10380897 10641558 11193888 11602179 11655744 11893506 11948416 12384228 13027008 13354112 13441968 13841196 14188744 14925184 15023376 15469572 15858008 15962337 16512304 16790832 17483616 17544323 17840259 17922624 18454928 18576342 19540512 19608361 20031168 20626096 20761794 21283116 21915227 22387776 23204358 23311488 23787012 24493489 24768456 26054016 26883936 27682392 28377488 30046752 30939144 31716016 31924674 33024608 33581664 33698267 34967232 35088646 35680518 35845248 36909856 37152684 39081024 39216722 40062336 41252192 41523588 42566232 43830454 44775552 46408716 47574024 48986978 49536912 52632969 53767872 55364784 56754976 58825083 60093504 61878288 63432032 63849348 65745681 66049216 67163328 67396534 69934464 70177292 71361036 73480467 73819712 74305368 78162048 78433444 82504384 83047176 85132464 87660908 92817432 95148048 97973956 99073824 101094801 105265938 107535744 110729568 113509952 117650166 120187008 123756576 126864064 127698696 131491362 132098432 134326656 134793068 140354584 142722072 146960934 147639424 148610736 156866888 157898907 165008768 166094352 170264928 175321816 176475249 185634864 190296096 195947912 197237043 198147648 202189602 210531876 220441401 221459136 227019904 235300332 247513152 253728128 255397392 262982724 269586136 280709168 285444144 293921868 297221472 303284403 313733776 315797814 332188704 333342137 340529856 350643632 352950498 371269728 372558859 380592192 391895824 394474086 396295296 404379204 416389313 421063752 440882802 442918272 470600664 495026304 510794784 525965448 539172272 561418336 570888288 587843736 594442944 606568806 627467552 631595628 664377408 666684274 681059712 701287264 705900996 742539456 745117718 761184384 783791648 788948172 808758408 832778626 842127504 881765604 941201328 1000026411 1021589568 1051930896 1078344544 1117676577 1122836672 1141776576 1175687472 1188885888 1213137612 1249167939 1254935104 1263191256 1328754816 1333368548 1402574528 1411801992 1485078912 1490235436 1567583296 1577896344 1617516816 1665557252 1684255008 1763531208 1882402656 2000052822 2043179136 2103861792 2156689088 2235353154 2245673344 2283553152 2351374944 2426275224 2498335878 2509870208 2526382512 2666737096 2805149056 2823603984 2980470872 3000079233 3135166592 3155792688 3235033632 3331114504 3353029731 3368510016 3527062416 3747503817 3764805312 4000105644 4207723584 4313378176 4470706308 4702749888 4852550448 4996671756 5052765024 5333474192 5647207968 5960941744 6000158466 6311585376 6333500603 6470067264 6662229008 6706059462 6737020032 7054124832 7078618321 7495007634 7529610624 8000211288 8415447168 8941412616 9405499776 9705100896 9993343512 10105530048 10666948384 11294415936 11921883488 12000316932 12623170752 12667001206 12940134528 13324458016 13412118924 14108249664 14157236642 14990015268 16000422576 17882825232 19000501809 19410201792 19986687024 20211060096 21235854963 21333896768 22588831872 23843766976 24000633864 25246341504 25334002412 26648916032 26824237848 28216499328 28314473284 29980030536 32000845152 35765650464 38001003618 38820403584 39973374048 42471709926 42667793536 47687533952 48001267728 50668004824 53297832064 53648475696 56628946568 57001505427 59960061072 63707564889 64001690304 71531300928 76002007236 79946748096 84943419852 96002535456 101336009648 107296951392 113257893136 114003010854 119920122144 120336511457 127415129778 128003380608 143062601856 152004014472 159893496192 169886839704 192005070912 202672019296 214593902784 226515786272 228006021708 239840244288 240673022914 254830259556 304008028944 339773679408 361009534371 384010141824 405344038592 429187805568 453031572544 456012043416 479680488576 481346045828 509660519112 608016057888 679547358816 722019068742 810688077184 906063145088 912024086832 962692091656 1019321038224 1083028603113 1216032115776 1359094717632 1444038137484 1824048173664 1925384183312 2038642076448 2166057206226 2432064231552 2718189435264 2888076274968 3648096347328 3850768366624 4077284152896 4332114412452 5776152549936 7296192694656 7701536733248 8154568305792 8664228824904 11552305099872 15403073466496 17328457649808 23104610199744 34656915299616 46209220399488 69313830599232 138627661198464
• Sum of all divisors σ(n): 447511347504000
• Sum of proper divisors (its aliquot sum) s(n): 308883686305536
• 138627661198464 is an abundant number, because the sum of its proper divisors (308883686305536) is greater than itself. Its abundance is 170256025107072

Bases of 138627661198464

• Binary: 11111100001010011000100100000000111010010000000₂
• Hexadecimal: 0x7E14C4807480
• Base-36: 1D50O27TS0

Squares and roots of 138627661198464

• 138627661198464 squared (138627661198464²) is 19217628449356121264795959296
• 138627661198464 cubed (138627661198464³) is 2664094885715303459544038730152151921721344
• The square root of 138627661198464 is 11774024.8512759645
• The cube root of 138627661198464 is 51754.7202488457

Scales and comparisons

• 138,627,661,198,464 seconds is equal to 4,407,930 years, 42 weeks, 5 days, 10 hours, 14 minutes, 24 seconds.
• To count from 1 to 138,627,661,198,464 would take you about eleven million, nineteen thousand, eight hundred twenty-seven 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 138627661198464 cubic inches would be around 4312.9 feet tall.

Recreational maths with 138627661198464

• 138627661198464 backwards is 464891166726831
• 138627661198464 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138627661198464's digits is 72
• More coming soon!