997541090
997,541,090 is an even composite number composed of seven prime numbers multiplied together.
997541090 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 997541090:
2 × 5 × 7 × 132 × 37 × 43 × 53
(2 × 5 × 7 × 13 × 13 × 37 × 43 × 53)See below for interesting mathematical facts about the number 997541090 from the Numbermatics database.
Names of 997541090
- Cardinal: 997541090 can be written as Nine hundred ninety-seven million, five hundred forty-one thousand and ninety.
Scientific notation
- Scientific notation: 9.9754109 × 108
Factors of 997541090
Divisors of 997541090
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 5 7 10 13 14 26 35 37 43 53 65 70 74 86 91 106 130 169 182 185 215 259 265 301 338 370 371 430 455 481 518 530 559 602 689 742 845 910 962 1118 1183 1295 1378 1505 1591 1690 1855 1961 2279 2366 2405 2590 2795 3010 3182 3367 3445 3710 3913 3922 4558 4810 4823 5590 5915 6253 6734 6890 7267 7826 7955 8957 9646 9805 11137 11395 11830 12506 13727 14534 15910 15953 16835 17914 19565 19610 20683 22274 22790 24115 25493 27454 29627 31265 31906 33670 36335 39130 41366 43771 44785 48230 50869 50986 55685 59254 62530 62699 68635 72670 79765 84323 87542 89570 101738 103415 111370 125398 127465 137270 144781 148135 159530 168646 178451 206830 207389 218855 254345 254930 268879 289562 296270 313495 331409 356902 385151 414778 421615 437710 508690 537758 590261 626990 662818 723905 770302 843230 892255 1036945 1096199 1180522 1344395 1447810 1657045 1784510 1882153 1925755 2073890 2192398 2319863 2688790 2696057 2951305 3314090 3764306 3851510 4639726 5392114 5480995 5902610 7673393 9410765 10961990 11599315 13480285 14250587 15346786 18821530 23198630 26960570 28501174 38366965 71252935 76733930 99754109 142505870 199508218 498770545 997541090
- Sum of all divisors σ(n): 2379269376
- Sum of proper divisors (its aliquot sum) s(n): 1381728286
- 997541090 is an abundant number, because the sum of its proper divisors (1381728286) is greater than itself. Its abundance is 384187196
Bases of 997541090
- Binary: 1110110111010101000100111000102
- Hexadecimal: 0x3B7544E2
- Base-36: GHWRMQ
Squares and roots of 997541090
- 997541090 squared (9975410902) is 995088226238388100
- 997541090 cubed (9975410903) is 992641393848008265117029000
-
The
square root of 997541090 is 31583.8738915923 -
The
cube root of 997541090 is 999.1796906099
Scales and comparisons
How big is 997541090?- 997,541,090 seconds is equal to 31 years, 37 weeks, 2 days, 14 hours, 44 minutes, 50 seconds.
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To count from 1 to 997,541,090 would take you about forty-seven 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 997541090 cubic inches would be around 83.3 feet tall.
Recreational maths with 997541090
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