138156685168760832
138,156,685,168,760,832 is an even composite number composed of five prime numbers multiplied together.
138156685168760832 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138156685168760832:
211 × 3 × 73 × 53 × 1236945907
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 53 × 1236945907)See below for interesting mathematical facts about the number 138156685168760832 from the Numbermatics database.
Names of 138156685168760832
- Cardinal: 138156685168760832 can be written as One hundred thirty-eight quadrillion, one hundred fifty-six trillion, six hundred eighty-five billion, one hundred sixty-eight million, seven hundred sixty thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.38156685168760832 × 1017
Factors of 138156685168760832
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 1236945972
Divisors of 138156685168760832
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 64 84 96 98 106 112 128 147 159 168 192 196 212 224 256 294 318 336 343 371 384 392 424 448 512 588 636 672 686 742 768 784 848 896 1024 1029 1113 1176 1272 1344 1372 1484 1536 1568 1696 1792 2048 2058 2226 2352 2544 2597 2688 2744 2968 3072 3136 3392 3584 4116 4452 4704 5088 5194 5376 5488 5936 6144 6272 6784 7168 7791 8232 8904 9408 10176 10388 10752 10976 11872 12544 13568 14336 15582 16464 17808 18179 18816 20352 20776 21504 21952 23744 25088 27136 31164 32928 35616 36358 37632 40704 41552 43008 43904 47488 50176 54272 54537 62328 65856 71232 72716 75264 81408 83104 87808 94976 100352 108544 109074 124656 131712 142464 145432 150528 162816 166208 175616 189952 218148 249312 263424 284928 290864 301056 325632 332416 351232 379904 436296 498624 526848 569856 581728 664832 702464 759808 872592 997248 1053696 1139712 1163456 1329664 1745184 1994496 2107392 2279424 2326912 2659328 3490368 3988992 4653824 5318656 6980736 7977984 9307648 13961472 15955968 18615296 27922944 37230592 55845888 111691776 1236945907 2473891814 3710837721 4947783628 7421675442 8658621349 9895567256 14843350884 17317242698 19791134512 25975864047 29686701768 34634485396 39582269024 51951728094 59373403536 60610349443 65558133071 69268970792 79164538048 103903456188 118746807072 121220698886 131116266142 138537941584 158329076096 181831048329 196674399213 207806912376 237493614144 242441397772 262232532284 277075883168 316658152192 363662096658 393348798426 415613824752 424272446101 458906931497 474987228288 484882795544 524465064568 554151766336 633316304384 727324193316 786697596852 831227649504 848544892202 917813862994 949974456576 969765591088 1048930129136 1108303532672 1266632608768 1272817338303 1376720794491 1454648386632 1573395193704 1662455299008 1697089784404 1835627725988 1899948913152 1939531182176 2097860258272 2216607065344 2533265217536 2545634676606 2753441588982 2909296773264 3146790387408 3212348520479 3324910598016 3394179568808 3671255451976 3799897826304 3879062364352 4195720516544 4433214130688 5091269353212 5506883177964 5818593546528 6293580774816 6424697040958 6649821196032 6788359137616 7342510903952 7599795652608 7758124728704 8391441033088 8866428261376 9637045561437 10182538706424 11013766355928 11637187093056 12587161549632 12849394081916 13299642392064 13576718275232 14685021807904 15516249457408 16782882066176 17732856522752 19274091122874 20365077412848 22027532711856 22486439643353 23274374186112 25174323099264 25698788163832 26599284784128 27153436550464 29370043615808 31032498914816 33565764132352 38548182245748 40730154825696 44055065423712 44972879286706 46548748372224 50348646198528 51397576327664 53198569568256 54306873100928 58740087231616 62064997829632 67131528264704 67459318930059 77096364491496 81460309651392 88110130847424 89945758573412 93097496744448 100697292397056 102795152655328 108613746201856 117480174463232 124129995659264 134263056529408 134918637860118 154192728982992 162920619302784 176220261694848 179891517146824 186194993488896 201394584794112 205590305310656 217227492403712 234960348926464 269837275720236 308385457965984 325841238605568 352440523389696 359783034293648 372389986977792 402789169588224 411180610621312 434454984807424 469920697852928 539674551440472 616770915931968 651682477211136 704881046779392 719566068587296 822361221242624 868909969614848 939841395705856 1079349102880944 1233541831863936 1303364954422272 1409762093558784 1439132137174592 1644722442485248 2158698205761888 2467083663727872 2606729908844544 2819524187117568 2878264274349184 3289444884970496 4317396411523776 4934167327455744 5756528548698368 6578889769940992 8634792823047552 9868334654911488 11513057097396736 17269585646095104 19736669309822976 23026114194793472 34539171292190208 46052228389586944 69078342584380416 138156685168760832
- Sum of all divisors σ(n): 437641357817664000
- Sum of proper divisors (its aliquot sum) s(n): 299484672648903168
- 138156685168760832 is an abundant number, because the sum of its proper divisors (299484672648903168) is greater than itself. Its abundance is 161327987480142336
Bases of 138156685168760832
- Binary: 1111010101101010011000101111011101101010001011000000000002
- Hexadecimal: 0x1EAD4C5EED45800
- Base-36: 11SCGGZ5KR9C
Squares and roots of 138156685168760832
- 138156685168760832 squared (1381566851687608322) is 19087269656820099242404058417332224
- 138156685168760832 cubed (1381566851687608323) is 2637033904708536060594870563955645190203029342650368
-
The
square root of 138156685168760832 is 371694343.7406074275 -
The
cube root of 138156685168760832 is 516960.4295228907
Scales and comparisons
How big is 138156685168760832?- 138,156,685,168,760,832 seconds is equal to 4,392,955,241 years, 35 weeks, 2 days, 18 hours, 27 minutes, 12 seconds.
-
To count from 1 to 138,156,685,168,760,832 would take you about thirteen billion, one hundred seventy-eight million, eight hundred sixty-five thousand, seven hundred twenty-five 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 138156685168760832 cubic inches would be around 43080 feet tall.
Recreational maths with 138156685168760832
- 138156685168760832 backwards is 238067861586651831
- 138156685168760832 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138156685168760832's digits is 84
- More coming soon!
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The information we have on file for 138156685168760832 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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