970128120
970,128,120 is an even composite number composed of seven prime numbers multiplied together.
970128120 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 970128120:
23 × 3 × 5 × 13 × 17 × 157 × 233
(2 × 2 × 2 × 3 × 5 × 13 × 17 × 157 × 233)See below for interesting mathematical facts about the number 970128120 from the Numbermatics database.
Names of 970128120
- Cardinal: 970128120 can be written as Nine hundred seventy million, one hundred twenty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.7012812 × 108
Factors of 970128120
Divisors of 970128120
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 157 170 195 204 221 233 255 260 312 314 340 390 408 442 466 471 510 520 628 663 680 699 780 785 884 932 942 1020 1105 1165 1256 1326 1398 1560 1570 1768 1864 1884 2040 2041 2210 2330 2355 2652 2669 2796 3029 3140 3315 3495 3768 3961 4082 4420 4660 4710 5304 5338 5592 6058 6123 6280 6630 6990 7922 8007 8164 8840 9087 9320 9420 10205 10676 11883 12116 12246 13260 13345 13980 15145 15844 16014 16328 18174 18840 19805 20410 21352 23766 24232 24492 26520 26690 27960 30290 30615 31688 32028 34697 36348 36581 39610 40035 40820 45435 47532 48984 51493 53380 59415 60580 61230 64056 69394 72696 73162 79220 80070 81640 90870 95064 102986 104091 106760 109743 118830 121160 122460 138788 146324 154479 158440 160140 173485 181740 182905 205972 208182 219486 237660 244920 257465 277576 292648 308958 320280 346970 363480 365810 411944 416364 438972 475320 475553 514930 520455 548715 617916 621877 693940 731620 772395 832728 877944 951106 1029860 1040910 1097430 1235832 1243754 1387880 1426659 1463240 1544790 1865631 1902212 2059720 2081820 2194860 2377765 2487508 2853318 3089580 3109385 3731262 3804424 4163640 4389720 4755530 4975016 5706636 6179160 6218770 7133295 7462524 8084401 9328155 9511060 11413272 12437540 14266590 14925048 16168802 18656310 19022120 24253203 24875080 28533180 32337604 37312620 40422005 48506406 57066360 64675208 74625240 80844010 97012812 121266015 161688020 194025624 242532030 323376040 485064060 970128120
- Sum of all divisors σ(n): 3354099840
- Sum of proper divisors (its aliquot sum) s(n): 2383971720
- 970128120 is an abundant number, because the sum of its proper divisors (2383971720) is greater than itself. Its abundance is 1413843600
Bases of 970128120
- Binary: 1110011101001011111010111110002
- Hexadecimal: 0x39D2FAF8
- Base-36: G1L7NC
Squares and roots of 970128120
- 970128120 squared (9701281202) is 941148569214734400
- 970128120 cubed (9701281203) is 913034692092980159771328000
-
The
square root of 970128120 is 31146.8797795221 -
The
cube root of 970128120 is 989.9418800693
Scales and comparisons
How big is 970128120?- 970,128,120 seconds is equal to 30 years, 44 weeks, 8 hours, 2 minutes.
-
To count from 1 to 970,128,120 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 970128120 cubic inches would be around 82.5 feet tall.
Recreational maths with 970128120
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