3968437968
3,968,437,968 is an even composite number composed of five prime numbers multiplied together.
3968437968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 3968437968:
24 × 33 × 112 × 312 × 79
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 31 × 31 × 79)See below for interesting mathematical facts about the number 3968437968 from the Numbermatics database.
Names of 3968437968
- Cardinal: 3968437968 can be written as Three billion, nine hundred sixty-eight million, four hundred thirty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.968437968 × 109
Factors of 3968437968
Divisors of 3968437968
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 79 88 93 99 108 121 124 132 144 158 176 186 198 216 237 242 248 264 279 297 316 341 363 372 396 432 474 484 496 528 558 594 632 682 711 726 744 792 837 869 948 961 968 1023 1089 1116 1188 1264 1364 1422 1452 1488 1584 1674 1738 1896 1922 1936 2046 2133 2178 2232 2376 2449 2607 2728 2844 2883 2904 3069 3267 3348 3476 3751 3792 3844 4092 4266 4356 4464 4752 4898 5214 5456 5688 5766 5808 6138 6534 6696 6952 7347 7502 7688 7821 8184 8532 8649 8712 9207 9559 9796 10428 10571 11253 11376 11532 12276 13068 13392 13904 14694 15004 15376 15642 16368 17064 17298 17424 18414 19118 19592 20856 21142 22041 22506 23064 23463 24552 25947 26136 26939 28677 29388 30008 31284 31713 33759 34128 34596 36828 38236 39184 41712 42284 44082 45012 46128 46926 49104 51894 52272 53878 57354 58776 60016 62568 63426 66123 67518 69192 73656 75919 76472 80817 84568 86031 88164 90024 93852 95139 101277 103788 107756 114708 116281 117552 125136 126852 132246 135036 138384 147312 151838 152944 161634 169136 172062 176328 180048 187704 190278 202554 207576 215512 227757 229416 232562 242451 253704 258093 264492 270072 285417 296329 303676 323268 344124 348843 352656 375408 380556 405108 415152 431024 455514 458832 465124 484902 507408 516186 528984 540144 570834 592658 607352 646536 683271 688248 697686 727353 761112 810216 835109 888987 911028 930248 969804 1032372 1046529 1057968 1141668 1185316 1214704 1293072 1366542 1376496 1395372 1454706 1522224 1620432 1670218 1777974 1822056 1860496 1939608 2049813 2064744 2093058 2283336 2370632 2505327 2666961 2733084 2790744 2909412 3139587 3340436 3555948 3644112 3879216 4099626 4129488 4186116 4566672 4741264 5010654 5333922 5466168 5581488 5818824 6279174 6680872 7111896 7515981 8000883 8199252 8372232 9186199 10021308 10667844 10932336 11637648 12558348 13361744 14223792 15031962 16001766 16398504 16744464 18372398 20042616 21335688 22547943 25116696 27558597 30063924 32003532 32797008 36744796 40085232 42671376 45095886 50233392 55117194 60127848 64007064 73489592 82675791 90191772 110234388 120255696 128014128 146979184 165351582 180383544 220468776 248027373 330703164 360767088 440937552 496054746 661406328 992109492 1322812656 1984218984 3968437968
- Sum of all divisors σ(n): 13101244800
- Sum of proper divisors (its aliquot sum) s(n): 9132806832
- 3968437968 is an abundant number, because the sum of its proper divisors (9132806832) is greater than itself. Its abundance is 5164368864
Bases of 3968437968
- Binary: 111011001000100110001110110100002
- Hexadecimal: 0xEC898ED0
- Base-36: 1TMPEC0
Squares and roots of 3968437968
- 3968437968 squared (39684379682) is 15748499905863969024
- 3968437968 cubed (39684379683) is 62496944965475000518017503232
-
The
square root of 3968437968 is 62995.5392706499 -
The
cube root of 3968437968 is 1583.2148887009
Scales and comparisons
How big is 3968437968?- 3,968,437,968 seconds is equal to 126 years, 9 weeks, 3 days, 23 hours, 52 minutes, 48 seconds.
-
To count from 1 to 3,968,437,968 would take you about two hundred fifty-two 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 3968437968 cubic inches would be around 131.9 feet tall.
Recreational maths with 3968437968
- 3968437968 backwards is 8697348693
- The number of decimal digits it has is: 10
- The sum of 3968437968's digits is 63
- More coming soon!
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