996401952
996,401,952 is an even composite number composed of seven prime numbers multiplied together.
996401952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 996401952:
25 × 33 × 7 × 13 × 19 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 19 × 23 × 29)See below for interesting mathematical facts about the number 996401952 from the Numbermatics database.
Names of 996401952
- Cardinal: 996401952 can be written as Nine hundred ninety-six million, four hundred one thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 9.96401952 × 108
Factors of 996401952
Divisors of 996401952
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 23 24 26 27 28 29 32 36 38 39 42 46 48 52 54 56 57 58 63 69 72 76 78 84 87 91 92 96 104 108 112 114 116 117 126 133 138 144 152 156 161 168 171 174 182 184 189 203 207 208 216 224 228 232 234 247 252 261 266 273 276 288 299 304 312 322 336 342 348 351 364 368 377 378 399 406 414 416 432 437 456 464 468 483 494 504 513 522 532 546 551 552 598 608 609 621 624 644 667 672 684 696 702 728 736 741 754 756 783 798 812 819 828 864 874 897 912 928 936 966 988 1008 1026 1044 1064 1092 1102 1104 1131 1196 1197 1218 1242 1248 1288 1311 1334 1368 1392 1404 1449 1456 1482 1508 1512 1566 1596 1624 1638 1653 1656 1729 1748 1794 1824 1827 1872 1932 1976 2001 2016 2052 2088 2093 2128 2184 2204 2208 2223 2262 2392 2394 2436 2457 2484 2576 2622 2639 2668 2691 2736 2784 2808 2898 2912 2964 3016 3024 3059 3132 3192 3248 3276 3306 3312 3393 3458 3496 3588 3591 3654 3744 3857 3864 3933 3952 4002 4104 4176 4186 4256 4347 4368 4408 4446 4524 4669 4784 4788 4872 4914 4959 4968 5152 5187 5244 5278 5336 5382 5472 5481 5616 5681 5796 5928 6003 6032 6048 6118 6264 6279 6384 6496 6552 6612 6624 6669 6786 6916 6992 7163 7176 7182 7308 7714 7728 7866 7904 7917 8004 8073 8208 8352 8372 8671 8694 8736 8816 8892 9048 9177 9338 9568 9576 9744 9828 9918 9936 10179 10374 10488 10556 10672 10764 10962 11232 11362 11571 11592 11799 11856 12006 12064 12236 12528 12558 12673 12768 13104 13224 13338 13572 13832 13984 14007 14326 14352 14364 14616 14877 15428 15456 15561 15732 15834 16008 16146 16416 16744 17043 17342 17388 17632 17784 18009 18096 18354 18676 18837 19152 19488 19656 19836 19872 20358 20748 20976 21112 21344 21489 21528 21924 22724 23142 23184 23598 23712 23751 24012 24472 25056 25116 25346 26013 26208 26448 26676 27144 27531 27664 28014 28652 28704 28728 29232 29754 30856 31122 31464 31668 32016 32292 33488 34086 34684 34713 34776 35568 36018 36192 36708 37352 37674 38019 38304 39312 39672 39767 40716 41496 41952 42021 42224 42978 43056 43848 45448 46284 46368 46683 47196 47502 48024 48944 50141 50232 50692 51129 52026 52896 53352 54288 55062 55328 56028 56511 57304 57456 58464 59508 60697 61712 62244 62928 63336 64032 64467 64584 66976 68172 69368 69426 69552 71136 71253 72036 73416 74704 75348 76038 78039 78624 79344 79534 81432 82593 82992 84042 84448 85956 86112 87696 88711 90896 92568 93366 94392 95004 96048 97888 100282 100464 101384 102258 104052 104139 106704 108576 110124 112056 113022 114057 114608 114912 119016 119301 121394 123424 124488 125856 126063 126672 128934 129168 136344 138736 138852 139104 142506 144072 146832 149408 150423 150696 152076 153387 156078 158688 159068 162864 164749 165186 165984 168084 171912 175392 177422 181792 182091 185136 186732 188784 190008 192096 193401 200564 200928 202768 204516 208104 208278 213408 220248 224112 226044 228114 229216 234117 238032 238602 242788 248976 252126 253344 257868 258336 266133 272688 277472 277704 285012 288144 293664 300846 301392 304152 306774 312156 318136 325728 329498 330372 336168 342171 343824 354844 357903 364182 370272 373464 377568 380016 386802 401128 405536 409032 416208 416556 440496 448224 451269 452088 456228 468234 476064 477204 485576 494247 497952 504252 515736 532266 545376 546273 555408 570024 576288 601692 602784 608304 613548 624312 636272 658996 660744 672336 684342 687648 709688 715806 728364 746928 760032 773604 798399 802256 818064 832416 833112 880992 902538 904176 912456 936468 954408 971152 988494 1008504 1031472 1064532 1073709 1092546 1110816 1140048 1153243 1203384 1216608 1227096 1248624 1272544 1317992 1321488 1344672 1353807 1368684 1419376 1431612 1456728 1482741 1493856 1547208 1596798 1604512 1636128 1638819 1666224 1805076 1808352 1824912 1872936 1908816 1942304 1976988 2017008 2062944 2129064 2147418 2185092 2280096 2306486 2395197 2406768 2454192 2497248 2635984 2642976 2707614 2737368 2838752 2863224 2913456 2965482 3094416 3193596 3277638 3332448 3459729 3610152 3649824 3745872 3817632 3953976 4034016 4258128 4294836 4370184 4448223 4612972 4790394 4813536 4908384 5271968 5415228 5474736 5726448 5826912 5930964 6188832 6387192 6555276 6919458 7220304 7491744 7907952 8516256 8589672 8740368 8896446 9225944 9580788 10379187 10830456 10949472 11452896 11861928 12774384 13110552 13838916 14440608 15815904 17179344 17480736 17792892 18451888 19161576 20758374 21660912 23723856 25548768 26221104 27677832 31137561 34358688 35585784 36903776 38323152 41516748 43321824 47447712 52442208 55355664 62275122 71171568 76646304 83033496 110711328 124550244 142343136 166066992 249100488 332133984 498200976 996401952
- Sum of all divisors σ(n): 4064256000
- Sum of proper divisors (its aliquot sum) s(n): 3067854048
- 996401952 is an abundant number, because the sum of its proper divisors (3067854048) is greater than itself. Its abundance is 2071452096
Bases of 996401952
- Binary: 1110110110001111100011001000002
- Hexadecimal: 0x3B63E320
- Base-36: GH8CO0
Squares and roots of 996401952
- 996401952 squared (9964019522) is 992816849949410304
- 996401952 cubed (9964019523) is 989244647268083528154513408
-
The
square root of 996401952 is 31565.8352020029 -
The
cube root of 996401952 is 998.7992093457
Scales and comparisons
How big is 996401952?- 996,401,952 seconds is equal to 31 years, 35 weeks, 3 days, 10 hours, 19 minutes, 12 seconds.
-
To count from 1 to 996,401,952 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 996401952 cubic inches would be around 83.2 feet tall.
Recreational maths with 996401952
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