138742567075840
138,742,567,075,840 is an even composite number composed of five prime numbers multiplied together.
What does the number 138742567075840 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 816 divisors.
138742567075840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 138742567075840:
216 × 5 × 7 × 132 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 71 × 71 × 71)See below for interesting mathematical facts about the number 138742567075840 from the Numbermatics database.
Names of 138742567075840
- Cardinal: 138742567075840 can be written as One hundred thirty-eight trillion, seven hundred forty-two billion, five hundred sixty-seven million, seventy-five thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3874256707584 × 1014
Factors of 138742567075840
Divisors of 138742567075840
- Number of divisors d(n): 816
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 71 80 91 104 112 128 130 140 142 160 169 182 208 224 256 260 280 284 320 338 355 364 416 448 455 497 512 520 560 568 640 676 710 728 832 845 896 910 923 994 1024 1040 1120 1136 1183 1280 1352 1420 1456 1664 1690 1792 1820 1846 1988 2048 2080 2240 2272 2366 2485 2560 2704 2840 2912 3328 3380 3584 3640 3692 3976 4096 4160 4480 4544 4615 4732 4970 5041 5120 5408 5680 5824 5915 6461 6656 6760 7168 7280 7384 7952 8192 8320 8960 9088 9230 9464 9940 10082 10240 10816 11360 11648 11830 11999 12922 13312 13520 14336 14560 14768 15904 16384 16640 17920 18176 18460 18928 19880 20164 20480 21632 22720 23296 23660 23998 25205 25844 26624 27040 28672 29120 29536 31808 32305 32768 33280 35287 35840 36352 36920 37856 39760 40328 40960 43264 45440 46592 47320 47996 50410 51688 53248 54080 57344 58240 59072 59995 63616 64610 65533 65536 66560 70574 71680 72704 73840 75712 79520 80656 81920 83993 86528 90880 93184 94640 95992 100820 103376 106496 108160 114688 116480 118144 119990 127232 129220 131066 133120 141148 143360 145408 147680 151424 159040 161312 163840 167986 173056 176435 181760 186368 189280 191984 201640 206752 212992 216320 229376 232960 236288 239980 254464 258440 262132 266240 282296 286720 290816 295360 302848 318080 322624 327665 327680 335972 346112 352870 357911 363520 372736 378560 383968 403280 413504 419965 425984 432640 458731 458752 465920 472576 479960 508928 516880 524264 532480 564592 573440 581632 590720 605696 636160 645248 655330 671944 692224 705740 715822 727040 745472 757120 767936 806560 827008 839930 851929 851968 865280 917462 931840 945152 959920 1017856 1033760 1048528 1064960 1129184 1146880 1163264 1181440 1211392 1272320 1290496 1310660 1343888 1384448 1411480 1431644 1454080 1490944 1514240 1535872 1613120 1654016 1679860 1703858 1730560 1789555 1834924 1863680 1890304 1919840 2035712 2067520 2097056 2129920 2258368 2293655 2293760 2326528 2362880 2422784 2505377 2544640 2580992 2621320 2687776 2768896 2822960 2863288 2908160 2981888 3028480 3071744 3226240 3308032 3359720 3407716 3461120 3579110 3669848 3727360 3780608 3839680 4071424 4135040 4194112 4259645 4259840 4516736 4587310 4652843 4653056 4725760 4845568 5010754 5089280 5161984 5242640 5375552 5537792 5645920 5726576 5816320 5963503 5963776 6056960 6143488 6452480 6616064 6719440 6815432 6922240 7158220 7339696 7454720 7561216 7679360 8142848 8270080 8388224 8519290 9033472 9174620 9305686 9451520 9691136 10021508 10178560 10323968 10485280 10751104 11075584 11291840 11453152 11632640 11927006 12113920 12286976 12526885 12904960 13232128 13438880 13630864 13844480 14316440 14679392 14909440 15122432 15358720 16285696 16540160 16776448 17038580 18066944 18349240 18611372 18903040 19382272 20043016 20357120 20647936 20970560 21502208 22583680 22906304 23264215 23265280 23854012 24227840 24573952 25053770 25809920 26464256 26877760 27261728 27688960 28632880 29358784 29817515 29818880 30244864 30717440 32569901 32571392 33080320 33552896 34077160 36133888 36698480 37222744 37806080 38764544 40086032 40714240 41295872 41941120 43004416 45167360 45812608 46528430 47708024 48455680 49147904 50107540 51619840 52928512 53755520 54523456 55377920 57265760 58717568 59635030 60486959 60489728 61434880 65139802 66160640 67105792 68154320 72267776 73396960 74445488 75612160 77529088 80172064 81428480 82591744 83882240 86008832 90334720 91625216 93056860 95416048 96911360 98295808 100215080 103239680 105857024 107511040 109046912 114531520 117435136 119270060 120973918 122869760 130279604 132321280 134211584 136308640 144535552 146793920 148890976 151224320 160344128 162849505 162856960 165183488 167764480 172017664 180669440 183250432 186113720 190832096 193822720 196591616 200430160 206479360 211714048 215022080 218093824 229063040 234870272 238540120 241947836 245739520 260559208 264642560 268423168 272617280 289071104 293587840 297781952 302434795 302448640 320688256 325699010 330366976 335528960 344035328 361338880 366500864 372227440 381664192 387645440 393183232 400860320 412958720 423408713 423428096 430044160 436187648 458126080 469740544 477080240 483895672 491479040 521118416 529285120 536846336 545234560 578142208 587175680 595563904 604869590 641376512 651398020 671057920 688070656 722677760 733001728 744454880 763328384 786366464 801720640 825917440 846817426 860088320 872375296 916252160 939481088 954160480 967791344 982958080 1042236832 1058570240 1073692672 1090469120 1156284416 1174351360 1191127808 1209739180 1282753024 1302796040 1342115840 1376141312 1445355520 1466003456 1488909760 1526656768 1603441280 1651834880 1693634852 1720176640 1744750592 1832504320 1878962176 1908320960 1935582688 1965916160 2084473664 2117043565 2117140480 2147385344 2180938240 2312568832 2348702720 2382255616 2419478360 2565506048 2605592080 2684231680 2752282624 2890711040 2932006912 2977819520 3053313536 3206882560 3387269704 3440353280 3489501184 3665008640 3757924352 3816641920 3871165376 3931832320 4168947328 4234087130 4294770688 4361876480 4697405440 4764511232 4838956720 5131012096 5211184160 5368463360 5504565248 5781422080 5864013824 5955639040 6106627072 6413765120 6774539408 6880706560 6979002368 7330017280 7515848704 7633283840 7742330752 8337894656 8468174260 8723752960 9394810880 9529022464 9677913440 10262024192 10422368320 10736926720 11562844160 11728027648 11911278080 12213254144 12827530240 13549078816 13761413120 13958004736 14660034560 15031697408 15266567680 15484661504 16675789312 16936348520 17447505920 18789621760 19058044928 19355826880 20524048384 20844736640 21473853440 23456055296 23822556160 24426508288 25655060480 27098157632 27522826240 27916009472 29320069120 30063394816 30533135360 30969323008 33351578624 33872697040 34895011840 37579243520 38116089856 38711653760 41048096768 41689473280 47645112320 48853016576 51310120960 54196315264 55832018944 58640138240 61066270720 61938646016 66703157248 67745394080 69790023680 75158487040 76232179712 77423307520 82096193536 83378946560 95290224640 97706033152 102620241920 108392630528 117280276480 122132541440 123877292032 133406314496 135490788160 139580047360 150316974080 152464359424 154846615040 164192387072 166757893120 190580449280 195412066304 205240483840 216785261056 244265082880 247754584064 266812628992 270981576320 279160094720 304928718848 309693230080 333515786240 381160898560 390824132608 410480967680 433570522112 488530165760 495509168128 533625257984 541963152640 619386460160 667031572480 762321797120 820961935360 867141044224 977060331520 991018336256 1067250515968 1083926305280 1238772920320 1334063144960 1524643594240 1734282088448 1954120663040 1982036672512 2134501031936 2167852610560 2477545840640 2668126289920 3468564176896 3964073345024 4335705221120 4955091681280 5336252579840 6937128353792 8671410442240 9910183362560 10672505159680 13874256707584 17342820884480 19820366725120 27748513415168 34685641768960 69371283537920 138742567075840
- Sum of all divisors σ(n): 417959573895936
- Sum of proper divisors (its aliquot sum) s(n): 279217006820096
- 138742567075840 is an abundant number, because the sum of its proper divisors (279217006820096) is greater than itself. Its abundance is 140474439744256
Bases of 138742567075840
- Binary: 111111000101111100001010110110100000000000000002
- Hexadecimal: 0x7E2F856D0000
- Base-36: 1D6HGE7K74
Squares and roots of 138742567075840
- 138742567075840 squared (1387425670758402) is 19249499918793961568311705600
- 138742567075840 cubed (1387425670758403) is 2670725033659647845928245936433034952704000
-
The
square root of 138742567075840 is 11778903.4751049727 -
The
cube root of 138742567075840 is 51769.0158065671
Scales and comparisons
How big is 138742567075840?- 138,742,567,075,840 seconds is equal to 4,411,584 years, 24 weeks, 4 days, 13 hours, 30 minutes, 40 seconds.
-
To count from 1 to 138,742,567,075,840 would take you about eleven million, twenty-eight thousand, nine hundred sixty-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 138742567075840 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138742567075840
- 138742567075840 backwards is 048570765247831
- The number of decimal digits it has is: 15
- The sum of 138742567075840's digits is 67
- More coming soon!
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The information we have on file for 138742567075840 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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