138140135248697753600
138,140,135,248,697,753,600 is an even composite number composed of five prime numbers multiplied together.
138140135248697753600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ten divisors.
Prime factorization of 138140135248697753600:
218 × 52 × 11 × 134 × 81912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 13 × 13 × 8191 × 8191)See below for interesting mathematical facts about the number 138140135248697753600 from the Numbermatics database.
Names of 138140135248697753600
- Cardinal: 138140135248697753600 can be written as One hundred thirty-eight quintillion, one hundred forty quadrillion, one hundred thirty-five trillion, two hundred forty-eight billion, six hundred ninety-seven million, seven hundred fifty-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.381401352486977536 × 1020
Factors of 138140135248697753600
Divisors of 138140135248697753600
- Number of divisors d(n): 1710
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 128 130 143 160 169 176 200 208 220 256 260 275 286 320 325 338 352 400 416 440 512 520 550 572 640 650 676 704 715 800 832 845 880 1024 1040 1100 1144 1280 1300 1352 1408 1430 1600 1664 1690 1760 1859 2048 2080 2197 2200 2288 2560 2600 2704 2816 2860 3200 3328 3380 3520 3575 3718 4096 4160 4225 4394 4400 4576 5120 5200 5408 5632 5720 6400 6656 6760 7040 7150 7436 8191 8192 8320 8450 8788 8800 9152 9295 10240 10400 10816 10985 11264 11440 12800 13312 13520 14080 14300 14872 16382 16384 16640 16900 17576 17600 18304 18590 20480 20800 21632 21970 22528 22880 24167 25600 26624 27040 28160 28561 28600 29744 32764 32768 33280 33800 35152 35200 36608 37180 40955 40960 41600 43264 43940 45056 45760 46475 48334 51200 53248 54080 54925 56320 57122 57200 59488 65528 65536 66560 67600 70304 70400 73216 74360 81910 81920 83200 86528 87880 90101 90112 91520 92950 96668 102400 106483 106496 108160 109850 112640 114244 114400 118976 120835 131056 131072 133120 135200 140608 140800 142805 146432 148720 163820 163840 166400 173056 175760 180202 180224 183040 185900 193336 204775 204800 212966 212992 216320 219700 225280 228488 228800 237952 241670 262112 262144 266240 270400 281216 281600 285610 292864 297440 314171 327640 327680 332800 346112 351520 360404 360448 366080 371800 386672 409550 409600 425932 425984 432640 439400 450505 450560 456976 457600 475904 483340 524224 532415 532480 540800 562432 563200 571220 585728 594880 604175 628342 655280 655360 665600 692224 703040 714025 720808 720896 732160 743600 773344 819100 819200 851864 851968 865280 878800 901010 901120 913952 915200 951808 966680 1048448 1064830 1064960 1081600 1124864 1126400 1142440 1171313 1171456 1189760 1208350 1256684 1310560 1310720 1331200 1384279 1384448 1406080 1428050 1441616 1441792 1464320 1487200 1546688 1570855 1638200 1638400 1703728 1703936 1730560 1757600 1802020 1802240 1827904 1830400 1903616 1933360 2096896 2129660 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345350338121744384 392443566047436800 408698624996147200 425046569995993088 431687922652180480 483007465904537600 502327764540719104 531308212494991360 539609903315225600 627909705675898880 664135265618739200 690700676243488768 784887132094873600 817397249992294400 863375845304360960 966014931809075200 1062616424989982720 1079219806630451200 1255819411351797760 1328270531237478400 1381401352486977536 1569774264189747200 1726751690608721920 2125232849979965440 2158439613260902400 2511638822703595520 2656541062474956800 2762802704973955072 3139548528379494400 3453503381217443840 4316879226521804800 5313082124949913600 5525605409947910144 6279097056758988800 6907006762434887680 8633758453043609600 10626164249899827200 12558194113517977600 13814013524869775360 17267516906087219200 27628027049739550720 34535033812174438400 69070067624348876800 138140135248697753600
- Sum of all divisors σ(n): 404923750735236357852
- Sum of proper divisors (its aliquot sum) s(n): 266783615486538604252
- 138140135248697753600 is an abundant number, because the sum of its proper divisors (266783615486538604252) is greater than itself. Its abundance is 128643480237840850652
Bases of 138140135248697753600
- Binary: 11101111101000101000101100100011100011000110000110000000000000000002
- Hexadecimal: 0x77D14591C630C0000
- Base-36: T5IV3347HAZNK
Squares and roots of 138140135248697753600
- 138140135248697753600 squared (1381401352486977536002) is 19082696966528507574852044645686312960000
- 138140135248697753600 cubed (1381401352486977536003) is 2636086339866162385943758276607421795695743563418566656000000
-
The
square root of 138140135248697753600 is 11753303163.3110593221 -
The
cube root of 138140135248697753600 is 5169397.8630554997
Scales and comparisons
How big is 138140135248697753600?- 138,140,135,248,697,753,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,140,135,248,697,753,600 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 138140135248697753600 cubic inches would be around 430783.2 feet tall.
Recreational maths with 138140135248697753600
- 138140135248697753600 backwards is 006357796842531041831
- The number of decimal digits it has is: 21
- The sum of 138140135248697753600's digits is 83
- More coming soon!
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"Number 138140135248697753600 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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The information we have on file for 138140135248697753600 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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