968136400
968,136,400 is an even composite number composed of six prime numbers multiplied together.
968136400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 968136400:
24 × 52 × 7 × 11 × 17 × 432
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 17 × 43 × 43)See below for interesting mathematical facts about the number 968136400 from the Numbermatics database.
Names of 968136400
- Cardinal: 968136400 can be written as Nine hundred sixty-eight million, one hundred thirty-six thousand, four hundred.
Scientific notation
- Scientific notation: 9.681364 × 108
Factors of 968136400
Divisors of 968136400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 34 35 40 43 44 50 55 56 68 70 77 80 85 86 88 100 110 112 119 136 140 154 170 172 175 176 187 200 215 220 238 272 275 280 301 308 340 344 350 374 385 400 425 430 440 473 476 550 560 595 602 616 680 688 700 731 748 770 850 860 880 935 946 952 1075 1100 1190 1204 1232 1309 1360 1400 1462 1496 1505 1540 1700 1720 1849 1870 1892 1904 1925 2150 2200 2365 2380 2408 2618 2800 2924 2975 2992 3010 3080 3311 3400 3440 3655 3698 3740 3784 3850 4300 4400 4675 4730 4760 4816 5117 5236 5848 5950 6020 6160 6545 6622 6800 7310 7396 7480 7525 7568 7700 8041 8600 9245 9350 9460 9520 10234 10472 11696 11825 11900 12040 12943 13090 13244 14620 14792 14960 15050 15400 16082 16555 17200 18275 18490 18700 18920 20339 20468 20944 23650 23800 24080 25585 25886 26180 26488 29240 29584 30100 30800 31433 32164 32725 33110 36550 36980 37400 37840 40205 40678 40936 46225 47300 47600 51170 51772 52360 52976 56287 58480 60200 62866 64328 64715 65450 66220 73100 73960 74800 80410 81356 81872 82775 92450 94600 101695 102340 103544 104720 112574 120400 125732 127925 128656 129430 130900 132440 142373 146200 147920 157165 160820 162712 165550 184900 189200 201025 203390 204680 207088 220031 225148 251464 255850 258860 261800 264880 281435 284746 292400 314330 321640 323575 325424 331100 345763 369800 402050 406780 409360 440062 450296 502928 508475 511700 517720 523600 562870 569492 628660 643280 647150 662200 691526 711865 739600 785825 804100 813560 880124 900592 1016950 1023400 1035440 1100155 1125740 1138984 1257320 1294300 1324400 1383052 1407175 1423730 1571650 1608200 1627120 1728815 1760248 2033900 2046800 2200310 2251480 2277968 2420341 2514640 2588600 2766104 2814350 2847460 3143300 3216400 3457630 3520496 3559325 4067800 4400620 4502960 4840682 5177200 5500775 5532208 5628700 5694920 6286600 6915260 7118650 8135600 8644075 8801240 9681364 11001550 11257400 11389840 12101705 12573200 13830520 14237300 17288150 17602480 19362728 22003100 22514800 24203410 27661040 28474600 34576300 38725456 44006200 48406820 56949200 60508525 69152600 88012400 96813640 121017050 138305200 193627280 242034100 484068200 968136400
- Sum of all divisors σ(n): 3143530944
- Sum of proper divisors (its aliquot sum) s(n): 2175394544
- 968136400 is an abundant number, because the sum of its proper divisors (2175394544) is greater than itself. Its abundance is 1207258144
Bases of 968136400
- Binary: 1110011011010010010110110100002
- Hexadecimal: 0x39B496D0
- Base-36: G0EITS
Squares and roots of 968136400
- 968136400 squared (9681364002) is 937288089004960000
- 968136400 cubed (9681364003) is 907422716252141556544000000
-
The
square root of 968136400 is 31114.8903260159 -
The
cube root of 968136400 is 989.2639497133
Scales and comparisons
How big is 968136400?- 968,136,400 seconds is equal to 30 years, 40 weeks, 5 days, 6 hours, 46 minutes, 40 seconds.
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To count from 1 to 968,136,400 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 968136400 cubic inches would be around 82.4 feet tall.
Recreational maths with 968136400
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