970042920
970,042,920 is an even composite number composed of seven prime numbers multiplied together.
970042920 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 970042920:
23 × 3 × 5 × 7 × 11 × 277 × 379
(2 × 2 × 2 × 3 × 5 × 7 × 11 × 277 × 379)See below for interesting mathematical facts about the number 970042920 from the Numbermatics database.
Names of 970042920
- Cardinal: 970042920 can be written as Nine hundred seventy million, forty-two thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.7004292 × 108
Factors of 970042920
Divisors of 970042920
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 277 280 308 330 379 385 420 440 462 554 616 660 758 770 831 840 924 1108 1137 1155 1320 1385 1516 1540 1662 1848 1895 1939 2216 2274 2310 2653 2770 3032 3047 3080 3324 3790 3878 4155 4169 4548 4620 5306 5540 5685 5817 6094 6648 7580 7756 7959 8310 8338 9096 9141 9240 9695 10612 11080 11370 11634 12188 12507 13265 15160 15235 15512 15918 16620 16676 18282 19390 20845 21224 21329 22740 23268 24376 25014 26530 29085 29183 30470 31836 33240 33352 36564 38780 39795 41690 42658 45480 45705 46536 50028 53060 58170 58366 60940 62535 63672 63987 73128 77560 79590 83380 85316 87549 91410 100056 104983 106120 106645 116340 116732 121880 125070 127974 145915 159180 166760 170632 175098 182820 209966 213290 232680 233464 250140 255948 291830 314949 318360 319935 350196 365640 419932 426580 437745 500280 511896 524915 583660 629898 639870 700392 734881 839864 853160 875490 1049830 1154813 1167320 1259796 1279740 1469762 1574745 1750980 2099660 2204643 2309626 2519592 2559480 2939524 3149490 3464439 3501960 3674405 4199320 4409286 4619252 5774065 5879048 6298980 6928878 7348810 8083691 8818572 9238504 11023215 11548130 12597960 13857756 14697620 16167382 17322195 17637144 22046430 23096260 24251073 27715512 29395240 32334764 34644390 40418455 44092860 46192520 48502146 64669528 69288780 80836910 88185720 97004292 121255365 138577560 161673820 194008584 242510730 323347640 485021460 970042920
- Sum of all divisors σ(n): 3650918400
- Sum of proper divisors (its aliquot sum) s(n): 2680875480
- 970042920 is an abundant number, because the sum of its proper divisors (2680875480) is greater than itself. Its abundance is 1710832560
Bases of 970042920
- Binary: 1110011101000110101110001010002
- Hexadecimal: 0x39D1AE28
- Base-36: G1JDWO
Squares and roots of 970042920
- 970042920 squared (9700429202) is 940983266642126400
- 970042920 cubed (9700429203) is 912794155644666888065088000
-
The
square root of 970042920 is 31145.5120362469 -
The
cube root of 970042920 is 989.9128991833
Scales and comparisons
How big is 970042920?- 970,042,920 seconds is equal to 30 years, 43 weeks, 6 days, 8 hours, 22 minutes.
-
To count from 1 to 970,042,920 would take you about forty-six 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 970042920 cubic inches would be around 82.5 feet tall.
Recreational maths with 970042920
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