997892480
997,892,480 is an even composite number composed of six prime numbers multiplied together.
997892480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 997892480:
27 × 5 × 13 × 31 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 31 × 53 × 73)See below for interesting mathematical facts about the number 997892480 from the Numbermatics database.
Names of 997892480
- Cardinal: 997892480 can be written as Nine hundred ninety-seven million, eight hundred ninety-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.9789248 × 108
Factors of 997892480
Divisors of 997892480
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 40 52 53 62 64 65 73 80 104 106 124 128 130 146 155 160 208 212 248 260 265 292 310 320 365 403 416 424 496 520 530 584 620 640 689 730 806 832 848 949 992 1040 1060 1168 1240 1378 1460 1612 1643 1664 1696 1898 1984 2015 2080 2120 2263 2336 2480 2756 2920 3224 3286 3392 3445 3796 3869 3968 4030 4160 4240 4526 4672 4745 4960 5512 5840 6448 6572 6784 6890 7592 7738 8060 8215 8320 8480 9052 9344 9490 9920 11024 11315 11680 12896 13144 13780 15184 15476 16120 16430 16960 18104 18980 19345 19840 21359 22048 22630 23360 25792 26288 27560 29419 30368 30952 32240 32860 33920 36208 37960 38690 42718 44096 45260 46720 50297 51584 52576 55120 58838 60736 61904 64480 65720 72416 75920 77380 85436 88192 90520 100594 105152 106795 110240 117676 119939 121472 123808 128960 131440 144832 147095 151840 154760 170872 181040 201188 210304 213590 220480 235352 239878 247616 251485 257920 262880 289664 294190 303680 309520 341744 362080 402376 427180 440960 470704 479756 495232 502970 525760 588380 599695 607360 619040 683488 724160 804752 854360 941408 959512 1005940 1051520 1176760 1199390 1238080 1366976 1448320 1559207 1609504 1708720 1882816 1919024 2011880 2353520 2398780 2476160 2733952 3118414 3219008 3417440 3765632 3838048 4023760 4707040 4797560 6236828 6438016 6834880 7676096 7796035 8047520 9414080 9595120 12473656 13669760 15352192 15592070 16095040 18828160 19190240 24947312 31184140 32190080 38380480 49894624 62368280 76760960 99789248 124736560 199578496 249473120 498946240 997892480
- Sum of all divisors σ(n): 2739018240
- Sum of proper divisors (its aliquot sum) s(n): 1741125760
- 997892480 is an abundant number, because the sum of its proper divisors (1741125760) is greater than itself. Its abundance is 743233280
Bases of 997892480
- Binary: 1110110111101010100001100000002
- Hexadecimal: 0x3B7AA180
- Base-36: GI4ARK
Squares and roots of 997892480
- 997892480 squared (9978924802) is 995789401640550400
- 997892480 cubed (9978924803) is 993690755560804907220992000
-
The
square root of 997892480 is 31589.4362089607 -
The
cube root of 997892480 is 999.2969992391
Scales and comparisons
How big is 997892480?- 997,892,480 seconds is equal to 31 years, 37 weeks, 6 days, 16 hours, 21 minutes, 20 seconds.
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To count from 1 to 997,892,480 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 997892480 cubic inches would be around 83.3 feet tall.
Recreational maths with 997892480
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