640137724416
640,137,724,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 640137724416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 320 divisors.
640137724416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 640137724416:
29 × 33 × 53 × 61 × 14323
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 53 × 61 × 14323)See below for interesting mathematical facts about the number 640137724416 from the Numbermatics database.
Names of 640137724416
- Cardinal: 640137724416 can be written as Six hundred forty billion, one hundred thirty-seven million, seven hundred twenty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 6.40137724416 × 1011
Factors of 640137724416
Divisors of 640137724416
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 61 64 72 96 106 108 122 128 144 159 183 192 212 216 244 256 288 318 366 384 424 432 477 488 512 549 576 636 732 768 848 864 954 976 1098 1152 1272 1431 1464 1536 1647 1696 1728 1908 1952 2196 2304 2544 2862 2928 3233 3294 3392 3456 3816 3904 4392 4608 5088 5724 5856 6466 6588 6784 6912 7632 7808 8784 9699 10176 11448 11712 12932 13176 13568 13824 14323 15264 15616 17568 19398 20352 22896 23424 25864 26352 27136 28646 29097 30528 31232 35136 38796 40704 42969 45792 46848 51728 52704 57292 58194 61056 70272 77592 81408 85938 87291 91584 93696 103456 105408 114584 116388 122112 128907 140544 155184 171876 174582 183168 206912 210816 229168 232776 244224 257814 281088 310368 343752 349164 366336 386721 413824 421632 458336 465552 515628 620736 687504 698328 732672 759119 773442 827648 843264 873703 916672 931104 1031256 1241472 1375008 1396656 1518238 1546884 1655296 1747406 1833344 1862208 2062512 2277357 2482944 2621109 2750016 2793312 3036476 3093768 3494812 3666688 3724416 4125024 4554714 4965888 5242218 5500032 5586624 6072952 6187536 6832071 6989624 7333376 7448832 7863327 8250048 9109428 10484436 11000064 11173248 12145904 12375072 13664142 13979248 14897664 15726654 16500096 18218856 20496213 20968872 22000128 22346496 23589981 24291808 24750144 27328284 27958496 31453308 33000192 36437712 40992426 41937744 44692992 46306259 47179962 48583616 49500288 54656568 55916992 62906616 66000384 72875424 81984852 83875488 92612518 94359924 97167232 99000576 109313136 111833984 125813232 138918777 145750848 163969704 167750976 185225036 188719848 194334464 198001152 218626272 223667968 251626464 277837554 291501696 327939408 335501952 370450072 377439696 388668928 416756331 437252544 447335936 503252928 555675108 583003392 655878816 671003904 740900144 754879392 833512662 874505088 1006505856 1111350216 1166006784 1250268993 1311757632 1342007808 1481800288 1509758784 1667025324 1749010176 2013011712 2222700432 2500537986 2623515264 2963600576 3019517568 3334050648 3498020352 4026023424 4445400864 5001075972 5247030528 5927201152 6039035136 6668101296 8890801728 10002151944 10494061056 11854402304 12078070272 13336202592 17781603456 20004303888 23708804608 26672405184 35563206912 40008607776 53344810368 71126413824 80017215552 106689620736 160034431104 213379241472 320068862208 640137724416
- Sum of all divisors σ(n): 1962390291840
- Sum of proper divisors (its aliquot sum) s(n): 1322252567424
- 640137724416 is an abundant number, because the sum of its proper divisors (1322252567424) is greater than itself. Its abundance is 682114843008
Bases of 640137724416
- Binary: 10010101000010110010111010000010000000002
- Hexadecimal: 0x950B2E8200
- Base-36: 862PH1C0
Squares and roots of 640137724416
- 640137724416 squared (6401377244162) is 409776306220494762541056
- 640137724416 cubed (6401377244163) is 262313272183581502834677865613623296
-
The
square root of 640137724416 is 800086.0731296353 -
The
cube root of 640137724416 is 8618.3568788317
Scales and comparisons
How big is 640137724416?- 640,137,724,416 seconds is equal to 20,354 years, 20 weeks, 5 days, 10 hours, 33 minutes, 36 seconds.
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To count from 1 to 640,137,724,416 would take you about forty thousand, seven hundred eight 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 640137724416 cubic inches would be around 718.2 feet tall.
Recreational maths with 640137724416
- 640137724416 backwards is 614427731046
- The number of decimal digits it has is: 12
- The sum of 640137724416's digits is 45
- More coming soon!
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