968130144
968,130,144 is an even composite number composed of five prime numbers multiplied together.
968130144 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 968130144:
25 × 34 × 17 × 127 × 173
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 17 × 127 × 173)See below for interesting mathematical facts about the number 968130144 from the Numbermatics database.
Names of 968130144
- Cardinal: 968130144 can be written as Nine hundred sixty-eight million, one hundred thirty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.68130144 × 108
Factors of 968130144
Divisors of 968130144
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 127 136 144 153 162 173 204 216 254 272 288 306 324 346 381 408 432 459 508 519 544 612 648 692 762 816 864 918 1016 1038 1143 1224 1296 1377 1384 1524 1557 1632 1836 2032 2076 2159 2286 2448 2592 2754 2768 2941 3048 3114 3429 3672 4064 4152 4318 4572 4671 4896 5508 5536 5882 6096 6228 6477 6858 7344 8304 8636 8823 9144 9342 10287 11016 11764 12192 12456 12954 13716 14013 14688 16608 17272 17646 18288 18684 19431 20574 21971 22032 23528 24912 25908 26469 27432 28026 34544 35292 36576 37368 38862 41148 43942 44064 47056 49824 51816 52938 54864 56052 58293 65913 69088 70584 74736 77724 79407 82296 87884 94112 103632 105876 109728 112104 116586 131826 141168 149472 155448 158814 164592 174879 175768 197739 207264 211752 224208 233172 238221 263652 282336 310896 317628 329184 349758 351536 373507 395478 423504 448416 466344 476442 527304 593217 621792 635256 699516 703072 747014 790956 847008 932688 952884 1054608 1120521 1186434 1270512 1399032 1494028 1581912 1779651 1865376 1905768 2109216 2241042 2372868 2541024 2798064 2988056 3163824 3361563 3559302 3811536 4482084 4745736 5596128 5976112 6327648 6723126 7118604 7623072 8964168 9491472 10084689 11952224 13446252 14237208 17928336 18982944 20169378 26892504 28474416 30254067 35856672 40338756 53785008 56948832 60508134 80677512 107570016 121016268 161355024 242032536 322710048 484065072 968130144
- Sum of all divisors σ(n): 3056030208
- Sum of proper divisors (its aliquot sum) s(n): 2087900064
- 968130144 is an abundant number, because the sum of its proper divisors (2087900064) is greater than itself. Its abundance is 1119769920
Bases of 968130144
- Binary: 1110011011010001111110011000002
- Hexadecimal: 0x39B47E60
- Base-36: G0EE00
Squares and roots of 968130144
- 968130144 squared (9681301442) is 937275975721460736
- 968130144 cubed (9681301443) is 907405125342958286234025984
-
The
square root of 968130144 is 31114.7897952083 -
The
cube root of 968130144 is 989.2618188671
Scales and comparisons
How big is 968130144?- 968,130,144 seconds is equal to 30 years, 40 weeks, 5 days, 5 hours, 2 minutes, 24 seconds.
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To count from 1 to 968,130,144 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 968130144 cubic inches would be around 82.4 feet tall.
Recreational maths with 968130144
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