3968681736302712
3,968,681,736,302,712 is an even composite number composed of five prime numbers multiplied together.
3968681736302712 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 3968681736302712:
23 × 310 × 113 × 135 × 17
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 17)See below for interesting mathematical facts about the number 3968681736302712 from the Numbermatics database.
Names of 3968681736302712
- Cardinal: 3968681736302712 can be written as Three quadrillion, nine hundred sixty-eight trillion, six hundred eighty-one billion, seven hundred thirty-six million, three hundred two thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 3.968681736302712 × 1015
Factors of 3968681736302712
Divisors of 3968681736302712
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 17 18 22 24 26 27 33 34 36 39 44 51 52 54 66 68 72 78 81 88 99 102 104 108 117 121 132 136 143 153 156 162 169 187 198 204 216 221 234 242 243 264 286 297 306 312 324 338 351 363 374 396 408 429 442 459 468 484 486 507 561 572 594 612 648 663 676 702 726 729 748 792 858 884 891 918 936 968 972 1014 1053 1089 1122 1144 1188 1224 1287 1326 1331 1352 1377 1404 1452 1458 1496 1521 1573 1683 1716 1768 1782 1836 1859 1944 1989 2028 2057 2106 2178 2187 2197 2244 2376 2431 2574 2652 2662 2673 2754 2808 2873 2904 2916 3042 3146 3159 3267 3366 3432 3564 3672 3718 3861 3978 3993 4056 4114 4131 4212 4356 4374 4394 4488 4563 4719 4862 5049 5148 5304 5324 5346 5508 5577 5746 5832 5967 6084 6171 6292 6318 6534 6561 6591 6732 7128 7293 7436 7722 7956 7986 8019 8228 8262 8424 8619 8712 8748 8788 9126 9438 9477 9724 9801 10098 10296 10648 10692 11016 11154 11492 11583 11934 11979 12168 12342 12393 12584 12636 13068 13122 13182 13464 13689 14157 14586 14872 15147 15444 15912 15972 16038 16456 16524 16731 17238 17303 17496 17576 17901 18252 18513 18876 18954 19448 19602 19683 19773 20196 20449 21384 21879 22308 22627 22984 23166 23868 23958 24057 24167 24684 24786 25272 25857 26136 26244 26364 26741 27378 28314 28431 28561 29172 29403 30294 30888 31603 31944 32076 33048 33462 34476 34606 34749 35802 35937 36504 37026 37179 37349 37752 37908 39204 39366 39546 40392 40898 41067 42471 43758 44616 45254 45441 46332 47736 47916 48114 48334 49368 49572 50193 51714 51909 52488 52728 53482 53703 54756 55539 56628 56862 57122 58344 58806 59049 59319 60588 61347 63206 64152 65637 66924 67881 68952 69212 69498 71604 71874 72171 72501 74052 74358 74698 75816 77571 78408 78732 79092 80223 81796 82134 84942 85293 85683 87516 88209 90508 90882 92664 94809 95832 96228 96668 99144 100386 103428 103818 104247 106964 107406 107811 109512 111078 111537 112047 113256 113724 114244 117612 118098 118638 121176 122694 123201 126412 127413 131274 133848 135762 136323 138424 138996 143208 143748 144342 145002 148104 148716 149396 150579 155142 155727 157464 158184 160446 161109 163592 164268 166617 169884 170586 171366 175032 176418 177957 181016 181764 184041 189618 192456 193336 196911 200772 203643 206856 207636 208494 213928 214812 215622 216513 217503 222156 223074 224094 224939 227448 228488 232713 235224 236196 237276 240669 245388 246402 252824 254826 255879 257049 262548 264627 265837 271524 272646 277992 284427 287496 288684 290004 294151 297432 298792 301158 310284 311454 312741 314171 320892 322218 323433 328536 333234 334611 336141 339768 341172 342732 347633 352836 355914 363528 368082 369603 371293 379236 382239 393822 401544 407286 408969 410839 415272 416988 429624 431244 433026 435006 444312 446148 448188 449878 451737 465426 467181 472392 474552 481338 483327 485537 490776 492804 499851 509652 511758 514098 525096 529254 531674 533871 543048 545292 552123 568854 577368 580008 588302 590733 602316 610929 620568 622908 625482 628342 641784 644436 646866 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21222896985576 23483323883448 24498035409276 25440267540402 25939096315704 27753019134984 29181483355167 30065770729566 32799022614072 33920356720536 36747053113914 38160401310603 38908644473556 40087694306088 45098656094349 48996070818552 50880535080804 55120579670871 58362966710334 60131541459132 73494106227828 76320802621206 77817288947112 90197312188698 101761070161608 110241159341742 116725933420668 120263082918264 146988212455656 152641605242412 165361739012613 180394624377396 220482318683484 233451866841336 305283210484824 330723478025226 360789248754792 440964637366968 496085217037839 661446956050452 992170434075678 1322893912100904 1984340868151356 3968681736302712
- Sum of all divisors σ(n): 14082669052572960
- Sum of proper divisors (its aliquot sum) s(n): 10113987316270248
- 3968681736302712 is an abundant number, because the sum of its proper divisors (10113987316270248) is greater than itself. Its abundance is 6145305579967536
Bases of 3968681736302712
- Binary: 11100001100101111110101110010001111001110000011110002
- Hexadecimal: 0xE197EB91E7078
- Base-36: 132S37XGVI0
Squares and roots of 3968681736302712
- 3968681736302712 squared (39686817363027122) is 15750434724062708867427698554944
- 3968681736302712 cubed (39686817363027123) is 62508462628215717997036023282196618787748208128
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The
square root of 3968681736302712 is 62997474.0470021703 -
The
cube root of 3968681736302712 is 158324.7305292875
Scales and comparisons
How big is 3968681736302712?- 3,968,681,736,302,712 seconds is equal to 126,191,803 years, 14 weeks, 2 days, 9 hours, 25 minutes, 12 seconds.
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To count from 1 to 3,968,681,736,302,712 would take you about three hundred seventy-eight million, five hundred seventy-five thousand, four hundred nine 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 3968681736302712 cubic inches would be around 13193.7 feet tall.
Recreational maths with 3968681736302712
- 3968681736302712 backwards is 2172036371868693
- 3968681736302712 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3968681736302712's digits is 72
- More coming soon!
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The information we have on file for 3968681736302712 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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