997137960
997,137,960 is an even composite number composed of seven prime numbers multiplied together.
997137960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 997137960:
23 × 3 × 5 × 7 × 13 × 127 × 719
(2 × 2 × 2 × 3 × 5 × 7 × 13 × 127 × 719)See below for interesting mathematical facts about the number 997137960 from the Numbermatics database.
Names of 997137960
- Cardinal: 997137960 can be written as Nine hundred ninety-seven million, one hundred thirty-seven thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 9.9713796 × 108
Factors of 997137960
Divisors of 997137960
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 127 130 140 156 168 182 195 210 254 260 273 280 312 364 381 390 420 455 508 520 546 635 719 728 762 780 840 889 910 1016 1092 1270 1365 1438 1524 1560 1651 1778 1820 1905 2157 2184 2540 2667 2730 2876 3048 3302 3556 3595 3640 3810 4314 4445 4953 5033 5080 5334 5460 5752 6604 7112 7190 7620 8255 8628 8890 9347 9906 10066 10668 10785 10920 11557 13208 13335 14380 15099 15240 16510 17256 17780 18694 19812 20132 21336 21570 23114 24765 25165 26670 28041 28760 30198 33020 34671 35560 37388 39624 40264 43140 46228 46735 49530 50330 53340 56082 57785 60396 65429 66040 69342 74776 75495 86280 91313 92456 93470 99060 100660 106680 112164 115570 120792 130858 138684 140205 150990 173355 182626 186940 196287 198120 201320 224328 231140 261716 273939 277368 280410 301980 327145 346710 365252 373880 392574 456565 462280 523432 547878 560820 603960 639191 654290 693420 730504 785148 913130 981435 1095756 1121640 1187069 1278382 1308580 1369695 1386840 1570296 1826260 1917573 1962870 2191512 2374138 2556764 2617160 2739390 3195955 3561207 3652520 3835146 3925740 4748276 5113528 5478780 5935345 6391910 7122414 7670292 7851480 8309483 9496552 9587865 10957560 11870690 12783820 14244828 15340584 16618966 17806035 19175730 23741380 24928449 25567640 28489656 33237932 35612070 38351460 41547415 47482760 49856898 66475864 71224140 76702920 83094830 99713796 124642245 142448280 166189660 199427592 249284490 332379320 498568980 997137960
- Sum of all divisors σ(n): 3715891200
- Sum of proper divisors (its aliquot sum) s(n): 2718753240
- 997137960 is an abundant number, because the sum of its proper divisors (2718753240) is greater than itself. Its abundance is 1721615280
Bases of 997137960
- Binary: 1110110110111100011110001010002
- Hexadecimal: 0x3B6F1E28
- Base-36: GHO4KO
Squares and roots of 997137960
- 997137960 squared (9971379602) is 994284111272961600
- 997137960 cubed (9971379603) is 991438430375133932982336000
-
The
square root of 997137960 is 31577.4913506441 -
The
cube root of 997137960 is 999.0450750753
Scales and comparisons
How big is 997137960?- 997,137,960 seconds is equal to 31 years, 36 weeks, 4 days, 22 hours, 46 minutes.
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To count from 1 to 997,137,960 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 997137960 cubic inches would be around 83.3 feet tall.
Recreational maths with 997137960
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