768948012
768,948,012 is an even composite number composed of seven prime numbers multiplied together.
768948012 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 768948012:
22 × 33 × 7 × 17 × 19 × 47 × 67
(2 × 2 × 3 × 3 × 3 × 7 × 17 × 19 × 47 × 67)See below for interesting mathematical facts about the number 768948012 from the Numbermatics database.
Names of 768948012
- Cardinal: 768948012 can be written as Seven hundred sixty-eight million, nine hundred forty-eight thousand and twelve.
Scientific notation
- Scientific notation: 7.68948012 × 108
Factors of 768948012
Divisors of 768948012
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 17 18 19 21 27 28 34 36 38 42 47 51 54 57 63 67 68 76 84 94 102 108 114 119 126 133 134 141 153 171 188 189 201 204 228 238 252 266 268 282 306 323 329 342 357 378 399 402 423 459 469 476 513 532 564 603 612 646 658 684 714 756 798 799 804 846 893 918 938 969 987 1026 1071 1139 1197 1206 1269 1273 1292 1316 1407 1428 1596 1598 1692 1786 1809 1836 1876 1938 1974 2052 2142 2261 2278 2394 2397 2412 2538 2546 2679 2814 2907 2961 3149 3196 3213 3417 3572 3591 3618 3819 3876 3948 4221 4284 4522 4556 4788 4794 5076 5092 5358 5593 5628 5814 5922 6251 6298 6426 6783 6834 7182 7191 7236 7638 7973 8037 8442 8721 8883 8911 9044 9447 9588 10251 10716 11186 11457 11628 11844 12502 12596 12663 12852 13566 13668 14364 14382 15181 15276 15946 16074 16779 16884 17442 17766 17822 18753 18894 20349 20502 21573 21641 22043 22372 22914 23919 24111 25004 25326 26733 27132 28341 28764 30362 30753 31892 32148 33558 34371 34884 35532 35644 37506 37788 40698 41004 43146 43282 44086 45543 45828 47838 48222 50337 50652 53466 53533 56259 56682 59831 60724 61047 61506 64923 66129 67116 68742 71757 75012 80199 81396 85023 86292 86564 88172 91086 95676 96444 100674 106267 106932 107066 112518 113364 119662 122094 123012 129846 132258 136629 137484 143514 151011 151487 160398 160599 168777 170046 179493 182172 194769 198387 201348 212534 214132 215271 225036 239324 240597 244188 259692 264516 273258 287028 302022 302974 318801 320796 321198 337554 340092 358986 374731 389538 396774 409887 418817 425068 430542 454461 481194 481797 538479 546516 584307 595161 604044 605948 637602 642396 675108 717972 749462 779076 793548 819774 837634 861084 908922 956403 962388 963594 1017127 1076958 1124193 1168614 1190322 1256451 1275204 1363383 1445391 1498924 1615437 1639548 1675268 1817844 1912806 1927188 2034254 2153916 2248386 2337228 2380644 2512902 2726766 2869209 2890782 3051381 3230874 3372579 3769353 3825612 4068508 4090149 4496772 5025804 5453532 5738418 5781564 6102762 6461748 6745158 7119889 7538706 8180298 9154143 10117737 11308059 11476836 12205524 13490316 14239778 15077412 16360596 18308286 20235474 21359667 22616118 27462429 28479556 36616572 40470948 42719334 45232236 54924858 64079001 85438668 109849716 128158002 192237003 256316004 384474006 768948012
- Sum of all divisors σ(n): 2632089600
- Sum of proper divisors (its aliquot sum) s(n): 1863141588
- 768948012 is an abundant number, because the sum of its proper divisors (1863141588) is greater than itself. Its abundance is 1094193576
Bases of 768948012
- Binary: 1011011101010100110111001011002
- Hexadecimal: 0x2DD5372C
- Base-36: CPT830
Squares and roots of 768948012
- 768948012 squared (7689480122) is 591281045158752144
- 768948012 cubed (7689480123) is 454664384208104685529537728
-
The
square root of 768948012 is 27729.9118642667 -
The
cube root of 768948012 is 916.1480456477
Scales and comparisons
How big is 768948012?- 768,948,012 seconds is equal to 24 years, 23 weeks, 2 days, 20 hours, 40 minutes, 12 seconds.
-
To count from 1 to 768,948,012 would take you about thirty-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 768948012 cubic inches would be around 76.3 feet tall.
Recreational maths with 768948012
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