968013936
968,013,936 is an even composite number composed of five prime numbers multiplied together.
968013936 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 968013936:
24 × 33 × 31 × 412 × 43
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 41 × 41 × 43)See below for interesting mathematical facts about the number 968013936 from the Numbermatics database.
Names of 968013936
- Cardinal: 968013936 can be written as Nine hundred sixty-eight million, thirteen thousand, nine hundred thirty-six.
Scientific notation
- Scientific notation: 9.68013936 × 108
Factors of 968013936
Divisors of 968013936
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 36 41 43 48 54 62 72 82 86 93 108 123 124 129 144 164 172 186 216 246 248 258 279 328 344 369 372 387 432 492 496 516 558 656 688 738 744 774 837 984 1032 1107 1116 1161 1271 1333 1476 1488 1548 1674 1681 1763 1968 2064 2214 2232 2322 2542 2666 2952 3096 3348 3362 3526 3813 3999 4428 4464 4644 5043 5084 5289 5332 5904 6192 6696 6724 7052 7626 7998 8856 9288 10086 10168 10578 10664 11439 11997 13392 13448 14104 15129 15252 15867 15996 17712 18576 20172 20336 21156 21328 22878 23994 26896 28208 30258 30504 31734 31992 34317 35991 40344 42312 45387 45756 47601 47988 52111 54653 60516 61008 63468 63984 68634 71982 72283 80688 84624 90774 91512 95202 95976 104222 109306 121032 126936 137268 143964 144566 156333 163959 181548 183024 190404 191952 208444 216849 218612 242064 253872 274536 287928 289132 312666 327918 363096 380808 416888 433698 437224 468999 491877 549072 575856 578264 625332 650547 655836 726192 761616 833776 867396 874448 937998 983754 1156528 1250664 1301094 1311672 1406997 1475631 1734792 1875996 1951641 1967508 2240773 2501328 2602188 2623344 2813994 2951262 3469584 3751992 3903282 3935016 4481546 5204376 5627988 5902524 6722319 7503984 7806564 7870032 8963092 10408752 11255976 11805048 13444638 15613128 17926184 20166957 22511952 23610096 26889276 31226256 35852368 40333914 53778552 60500871 80667828 107557104 121001742 161335656 242003484 322671312 484006968 968013936
- Sum of all divisors σ(n): 3008220160
- Sum of proper divisors (its aliquot sum) s(n): 2040206224
- 968013936 is an abundant number, because the sum of its proper divisors (2040206224) is greater than itself. Its abundance is 1072192288
Bases of 968013936
- Binary: 1110011011001010111000011100002
- Hexadecimal: 0x39B2B870
- Base-36: G0BWC0
Squares and roots of 968013936
- 968013936 squared (9680139362) is 937050980290212096
- 968013936 cubed (9680139363) is 907078407663386633323769856
-
The
square root of 968013936 is 31112.9223314043 -
The
cube root of 968013936 is 989.2222357809
Scales and comparisons
How big is 968013936?- 968,013,936 seconds is equal to 30 years, 40 weeks, 3 days, 20 hours, 45 minutes, 36 seconds.
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To count from 1 to 968,013,936 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 968013936 cubic inches would be around 82.4 feet tall.
Recreational maths with 968013936
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