970849152
970,849,152 is an even composite number composed of four prime numbers multiplied together.
970849152 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 970849152:
27 × 35 × 74 × 13
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 13)See below for interesting mathematical facts about the number 970849152 from the Numbermatics database.
Names of 970849152
- Cardinal: 970849152 can be written as Nine hundred seventy million, eight hundred forty-nine thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 9.70849152 × 108
Factors of 970849152
Divisors of 970849152
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 81 84 91 96 98 104 108 112 117 126 128 144 147 156 162 168 182 189 192 196 208 216 224 234 243 252 273 288 294 312 324 336 343 351 364 378 384 392 416 432 441 448 468 486 504 546 567 576 588 624 637 648 672 686 702 728 756 784 819 832 864 882 896 936 972 1008 1029 1053 1092 1134 1152 1176 1248 1274 1296 1323 1344 1372 1404 1456 1512 1568 1638 1664 1701 1728 1764 1872 1911 1944 2016 2058 2106 2184 2268 2352 2401 2457 2496 2548 2592 2646 2688 2744 2808 2912 3024 3087 3136 3159 3276 3402 3456 3528 3744 3822 3888 3969 4032 4116 4212 4368 4459 4536 4704 4802 4914 4992 5096 5184 5292 5488 5616 5733 5824 6048 6174 6272 6318 6552 6804 7056 7203 7371 7488 7644 7776 7938 8064 8232 8424 8736 8918 9072 9261 9408 9604 9828 10192 10368 10584 10976 11232 11466 11648 11907 12096 12348 12636 13104 13377 13608 14112 14406 14742 14976 15288 15552 15876 16464 16848 17199 17472 17836 18144 18522 18816 19208 19656 20384 21168 21609 21952 22113 22464 22932 23814 24192 24696 25272 26208 26754 27216 27783 28224 28812 29484 30576 31104 31213 31752 32928 33696 34398 34944 35672 36288 37044 38416 39312 40131 40768 42336 43218 43904 44226 44928 45864 47628 49392 50544 51597 52416 53508 54432 55566 56448 57624 58968 61152 62426 63504 64827 65856 67392 68796 71344 72576 74088 76832 78624 80262 81536 83349 84672 86436 88452 91728 93639 95256 98784 101088 103194 104832 107016 108864 111132 115248 117936 120393 122304 124852 127008 129654 131712 134784 137592 142688 148176 153664 154791 157248 160524 166698 169344 172872 176904 183456 187278 190512 194481 197568 202176 206388 214032 217728 222264 230496 235872 240786 244608 249704 254016 259308 275184 280917 285376 296352 307328 309582 314496 321048 333396 345744 353808 361179 366912 374556 381024 388962 395136 404352 412776 428064 444528 460992 471744 481572 499408 508032 518616 550368 561834 570752 583443 592704 619164 642096 666792 691488 707616 722358 733824 749112 762048 777924 825552 842751 856128 889056 921984 943488 963144 998816 1037232 1083537 1100736 1123668 1166886 1185408 1238328 1284192 1333584 1382976 1415232 1444716 1498224 1524096 1555848 1651104 1685502 1712256 1778112 1926288 1997632 2074464 2167074 2201472 2247336 2333772 2476656 2528253 2568384 2667168 2765952 2830464 2889432 2996448 3111696 3302208 3371004 3556224 3852576 3995264 4148928 4334148 4494672 4667544 4953312 5056506 5136768 5334336 5778864 5992896 6223392 6604416 6742008 7584759 7705152 8297856 8668296 8989344 9335088 9906624 10113012 10668672 11557728 11985792 12446784 13484016 15169518 15410304 17336592 17978688 18670176 19813248 20226024 23115456 24893568 26968032 30339036 34673184 35957376 37340352 40452048 46230912 53936064 60678072 69346368 74680704 80904096 107872128 121356144 138692736 161808192 242712288 323616384 485424576 970849152
- Sum of all divisors σ(n): 3639843480
- Sum of proper divisors (its aliquot sum) s(n): 2668994328
- 970849152 is an abundant number, because the sum of its proper divisors (2668994328) is greater than itself. Its abundance is 1698145176
Bases of 970849152
- Binary: 1110011101110111111011100000002
- Hexadecimal: 0x39DDFB80
- Base-36: G20O00
Squares and roots of 970849152
- 970849152 squared (9708491522) is 942548075939119104
- 970849152 cubed (9708491523) is 915072000244725385745399808
-
The
square root of 970849152 is 31158.4523364045 -
The
cube root of 970849152 is 990.1870720863
Scales and comparisons
How big is 970849152?- 970,849,152 seconds is equal to 30 years, 45 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
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To count from 1 to 970,849,152 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 970849152 cubic inches would be around 82.5 feet tall.
Recreational maths with 970849152
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