138355712061867463808
138,355,712,061,867,463,808 is an even composite number composed of six prime numbers multiplied together.
What does the number 138355712061867463808 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
138355712061867463808 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138355712061867463808:
27 × 372 × 412 × 532 × 672 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 37 × 37 × 41 × 41 × 53 × 53 × 67 × 67 × 193 × 193)See below for interesting mathematical facts about the number 138355712061867463808 from the Numbermatics database.
Names of 138355712061867463808
- Cardinal: 138355712061867463808 can be written as One hundred thirty-eight quintillion, three hundred fifty-five quadrillion, seven hundred twelve trillion, sixty-one billion, eight hundred sixty-seven million, four hundred sixty-three thousand, eight hundred eight.
Scientific notation
- Scientific notation: 1.38355712061867463808 × 1020
Factors of 138355712061867463808
Divisors of 138355712061867463808
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 8 16 32 37 41 53 64 67 74 82 106 128 134 148 164 193 212 268 296 328 386 424 536 592 656 772 848 1072 1184 1312 1369 1517 1544 1681 1696 1961 2144 2173 2368 2479 2624 2738 2747 2809 3034 3088 3362 3392 3551 3922 4288 4346 4489 4736 4958 5248 5476 5494 5618 6068 6176 6724 6784 7102 7141 7844 7913 8576 8692 8978 9916 10229 10952 10988 11236 12136 12352 12931 13448 14204 14282 15688 15826 17384 17956 19832 20458 21904 21976 22472 24272 24704 25862 26896 28408 28564 31376 31652 34768 35912 37249 39664 40916 43808 43952 44944 48544 51724 53792 56129 56816 57128 62197 62752 63304 69536 71824 72557 74498 79328 80401 81832 87616 87904 89093 89888 91723 97088 101639 103448 103933 107584 112258 112627 113632 114256 115169 124394 125504 126608 131387 139072 143648 145114 145591 148996 158656 160802 163664 166093 175232 175808 178186 179776 183446 184049 188203 194176 203278 206896 207866 215168 224516 225254 227264 228512 230338 237917 248788 251008 253216 262774 264217 278144 287296 290228 291182 292781 297992 317312 321604 324433 327328 332186 351616 356372 359552 366892 368098 376406 378473 406556 413792 415732 419389 449032 450508 454528 457024 460676 475834 478447 497576 506432 525548 528434 530171 542137 574592 580456 582364 585562 595984 643208 648866 654656 664372 685343 712744 733784 736196 752812 756946 813112 827584 831464 838778 866377 898064 901016 914048 921352 951668 956894 995152 1012864 1051096 1056868 1060342 1084274 1160912 1164728 1171124 1191968 1286416 1297732 1309312 1328744 1370686 1378213 1425488 1467568 1472392 1505624 1513892 1527209 1626224 1655168 1662928 1677556 1732754 1796128 1802032 1842704 1903336 1913788 1974197 1990304 2102192 2113736 2120684 2168548 2301289 2321824 2329456 2342248 2383936 2495683 2572832 2595464 2657488 2741372 2756426 2850976 2935136 2944784 2974837 3011248 3027784 3054418 3252448 3296441 3325856 3355112 3465508 3592256 3604064 3685408 3760643 3806672 3827576 3845521 3948394 3980608 4167199 4204384 4227472 4241368 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1102400816403202 1112237825472832 1201327718933632 1210927321644968 1217577021102044 1228441777387904 1232479752550976 1286024985702962 1331200985845376 1337442116443696 1361246293862272 1425054713887066 1508408055360896 1539201139883716 1552935831792256 1573941027278252 1579114682955938 1690728713240144 1720820786580608 1744096814011036 1857173508844096 1906855466210944 1926315884131592 1989699034483828 2185576141505552 2204801632806404 2224475650945664 2421854643289936 2435154042204088 2464959505101952 2572049971405924 2674884232887392 2850109427774132 3078402279767432 3147882054556504 3158229365911876 3381457426480288 3488193628022072 3714347017688192 3852631768263184 3979398068967656 4371152283011104 4409603265612808 4843709286579872 4870308084408176 5144099942811848 5349768465774784 5600538862607977 5700218855548264 6156804559534864 6295764109113008 6316458731823752 6762914852960576 6976387256044144 7705263536526368 7958796137935312 8742304566022208 8819206531225616 9687418573159744 9740616168816352 10288199885623696 10699536931549568 11201077725215954 11400437711096528 12313609119069728 12591528218226016 12632917463647504 13525829705921152 13952774512088288 15410527073052736 15917592275870624 16132895529602083 17484609132044416 17638413062451232 19374837146319488 19481232337632704 20394415103459237 20576399771247392 22402155450431908 22800875422193056 24627218238139456 25183056436452032 25265834927295008 26363512206910721 27905549024176576 29213621634684853 30821054146105472 31835184551741248 32265791059204166 35276826124902464 38962464675265408 40788830206918474 41152799542494784 44804310900863816 45601750844386112 49254436476278912 50366112872904064 50531669854590016 52727024413821442 55811098048353152 58427243269369706 63670369103482496 64531582118408332 70553652249804928 81577660413836948 82305599084989568 89608621801727632 91203501688772224 101063339709180032 105454048827642884 116854486538739412 129063164236816664 163155320827673896 179217243603455264 210908097655285768 233708973077478824 258126328473633328 326310641655347792 358434487206910528 421816195310571536 467417946154957648 516252656947266656 652621283310695584 716868974413821056 843632390621143072 934835892309915296 1032505313894533312 1080904000483339561 1305242566621391168 1687264781242286144 1869671784619830592 2065010627789066624 2161808000966679122 2610485133242782336 3374529562484572288 3739343569239661184 4323616001933358244 8647232003866716488 17294464007733432976 34588928015466865952 69177856030933731904 138355712061867463808
- Sum of all divisors σ(n): 301988614658065385715
- Sum of proper divisors (its aliquot sum) s(n): 163632902596197921907
- 138355712061867463808 is an abundant number, because the sum of its proper divisors (163632902596197921907) is greater than itself. Its abundance is 25277190534330458099
Bases of 138355712061867463808
- Binary: 11110000000000100100011101100010100100011011101011010010100100000002
- Hexadecimal: 0x780123B148DD69480
- Base-36: T75TQOSZM6F7K
Squares and roots of 138355712061867463808
- 138355712061867463808 squared (1383557120618674638082) is 19142303060146378013407725670034189860864
- 138355712061867463808 cubed (1383557120618674638083) is 2648446970390616696041545120305046809181452446507604075610112
-
The
square root of 138355712061867463808 is 11762470491.4345040753 -
The
cube root of 138355712061867463808 is 5172085.5278144037
Scales and comparisons
How big is 138355712061867463808?- 138,355,712,061,867,463,808 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,355,712,061,867,463,808 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138355712061867463808 cubic inches would be around 431007.1 feet tall.
Recreational maths with 138355712061867463808
- 138355712061867463808 backwards is 808364768160217553831
- The number of decimal digits it has is: 21
- The sum of 138355712061867463808's digits is 92
- More coming soon!
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"Number 138355712061867463808 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138355712061867463808 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138355712061867463808/
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Numbermatics. 2024. "Number 138355712061867463808 - Facts about the integer". https://numbermatics.com/n/138355712061867463808/
The information we have on file for 138355712061867463808 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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