138147069931724800
138,147,069,931,724,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138147069931724800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
138147069931724800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 138147069931724800:
213 × 52 × 192 × 232 × 29 × 3492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 19 × 23 × 23 × 29 × 349 × 349)See below for interesting mathematical facts about the number 138147069931724800 from the Numbermatics database.
Names of 138147069931724800
- Cardinal: 138147069931724800 can be written as One hundred thirty-eight quadrillion, one hundred forty-seven trillion, sixty-nine billion, nine hundred thirty-one million, seven hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381470699317248 × 1017
Factors of 138147069931724800
Divisors of 138147069931724800
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 23 25 29 32 38 40 46 50 58 64 76 80 92 95 100 115 116 128 145 152 160 184 190 200 230 232 256 290 304 320 349 361 368 380 400 437 460 464 475 512 529 551 575 580 608 640 667 698 722 725 736 760 800 874 920 928 950 1024 1058 1102 1150 1160 1216 1280 1334 1396 1444 1450 1472 1520 1600 1745 1748 1805 1840 1856 1900 2048 2116 2185 2204 2300 2320 2432 2560 2645 2668 2755 2792 2888 2900 2944 3040 3200 3335 3490 3496 3610 3680 3712 3800 4096 4232 4370 4408 4600 4640 4864 5120 5290 5336 5510 5584 5776 5800 5888 6080 6400 6631 6670 6980 6992 7220 7360 7424 7600 8027 8192 8303 8464 8725 8740 8816 9025 9200 9280 9728 10051 10121 10240 10469 10580 10672 10925 11020 11168 11552 11600 11776 12160 12673 12800 13225 13262 13340 13775 13960 13984 14440 14720 14848 15200 15341 16054 16606 16675 16928 17450 17480 17632 18050 18400 18560 19456 20102 20242 20480 20938 21160 21344 21850 22040 22336 23104 23200 23552 24320 25346 25600 26450 26524 26680 27550 27920 27968 28880 29440 29696 30400 30682 32108 33155 33212 33350 33856 34900 34960 35264 36100 36800 37120 38912 40135 40204 40484 40960 41515 41876 42320 42688 43700 44080 44672 46208 46400 47104 48640 50255 50605 50692 51200 52345 52900 53048 53360 55100 55840 55936 57760 58880 59392 60800 61364 63365 64216 66310 66424 66700 67712 69800 69920 70528 72200 73600 74240 76705 77824 80270 80408 80968 83030 83752 84640 85376 87400 88160 89344 92416 92800 94208 97280 100510 101210 101384 102400 104690 105800 106096 106720 110200 111680 111872 115520 117760 118784 121600 121801 122728 125989 126730 128432 132620 132848 133400 135424 139600 139840 141056 144400 147200 148480 152513 153410 155648 160540 160816 161936 165775 166060 167504 169280 170752 174800 176320 178688 184621 184832 185600 188416 190969 192299 194560 200675 201020 202420 202768 204800 207575 209380 211600 212192 213440 220400 223360 223744 231040 232783 235520 237568 240787 243200 243602 245456 251275 251978 253025 253460 256864 261725 265240 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26114758021120 26981849596040 28401946943200 29773075416320 30031971724288 31340079385600 31612601815040 32643447526400 33727311995050 36354492087296 37216344270400 37539964655360 38267886407680 39515752268800 39583687659520 41423409274880 43170959353664 45443115109120 46924955819200 47636920666112 47834858009600 49479609574400 50144127016960 51779261593600 52229516042240 53963699192080 56803893886400 59546150832640 60063943448576 62680158771200 63225203630080 65286895052800 67454623990100 72708984174592 74432688540800 75079929310720 76535772815360 79031504537600 79167375319040 86341918707328 90886230218240 93849911638400 95273841332224 95669716019200 98959219148800 103558523187200 107927398384160 113607787772800 119092301665280 120127886897152 125360317542400 130573790105600 134909247980200 145417968349184 148865377081600 150159858621440 158063009075200 172683837414656 181772460436480 187699823276800 190547682664448 191339432038400 197918438297600 207117046374400 215854796768320 227215575545600 238184603330560 240255773794304 250720635084800 261147580211200 269818495960400 290835936698368 297730754163200 300319717242880 316126018150400 345367674829312 363544920872960 375399646553600 382678864076800 395836876595200 431709593536640 454431151091200 476369206661120 539636991920800 595461508326400 600639434485760 690735349658624 727089841745920 750799293107200 863419187073280 908862302182400 952738413322240 1079273983841600 1190923016652800 1201278868971520 1381470699317248 1454179683491840 1501598586214400 1726838374146560 1817724604364800 2158547967683200 2381846033305600 2762941398634496 3003197172428800 3453676748293120 3635449208729600 4317095935366400 4763692066611200 5525882797268992 6006394344857600 6907353496586240 7270898417459200 8634191870732800 13814706993172480 17268383741465600 27629413986344960 34536767482931200 69073534965862400 138147069931724800
- Sum of all divisors σ(n): 392124080665270170
- Sum of proper divisors (its aliquot sum) s(n): 253977010733545370
- 138147069931724800 is an abundant number, because the sum of its proper divisors (253977010733545370) is greater than itself. Its abundance is 115829940801820570
Bases of 138147069931724800
- Binary: 1111010101100110000000111001101100000101010100000000000002
- Hexadecimal: 0x1EACC07360AA000
- Base-36: 11S91RSPPBLS
Squares and roots of 138147069931724800
- 138147069931724800 squared (1381470699317248002) is 19084612930720862337333502935040000
- 138147069931724800 cubed (1381470699317248003) is 2636483357160194355008422023058263953209556992000000
-
The
square root of 138147069931724800 is 371681409.1822791181 -
The
cube root of 138147069931724800 is 516948.4363467347
Scales and comparisons
How big is 138147069931724800?- 138,147,069,931,724,800 seconds is equal to 4,392,649,506 years, 46 weeks, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,147,069,931,724,800 would take you about thirteen billion, one hundred seventy-seven million, nine hundred forty-eight thousand, five hundred twenty 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 138147069931724800 cubic inches would be around 43079 feet tall.
Recreational maths with 138147069931724800
- 138147069931724800 backwards is 008427139960741831
- The number of decimal digits it has is: 18
- The sum of 138147069931724800's digits is 73
- More coming soon!
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"Number 138147069931724800 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138147069931724800 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138147069931724800/
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The information we have on file for 138147069931724800 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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