131468948640
131,468,948,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 131468948640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
131468948640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131468948640:
25 × 35 × 5 × 1063 × 3181
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 1063 × 3181)See below for interesting mathematical facts about the number 131468948640 from the Numbermatics database.
Names of 131468948640
- Cardinal: 131468948640 can be written as One hundred thirty-one billion, four hundred sixty-eight million, nine hundred forty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3146894864 × 1011
Factors of 131468948640
Divisors of 131468948640
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1063 1080 1215 1296 1440 1620 1944 2126 2160 2430 2592 3181 3189 3240 3888 4252 4320 4860 5315 6362 6378 6480 7776 8504 9543 9567 9720 10630 12724 12756 12960 15905 15945 17008 19086 19134 19440 21260 25448 25512 28629 28701 31810 31890 34016 38172 38268 38880 42520 47715 47835 50896 51024 57258 57402 63620 63780 76344 76536 85040 85887 86103 95430 95670 101792 102048 114516 114804 127240 127560 143145 143505 152688 153072 170080 171774 172206 190860 191340 229032 229608 254480 255120 257661 258309 286290 287010 305376 306144 343548 344412 381720 382680 429435 430515 458064 459216 508960 510240 515322 516618 572580 574020 687096 688824 763440 765360 772983 858870 861030 916128 918432 1030644 1033236 1145160 1148040 1288305 1291545 1374192 1377648 1526880 1530720 1545966 1717740 1722060 2061288 2066472 2290320 2296080 2576610 2583090 2748384 2755296 3091932 3381403 3435480 3444120 3864915 4122576 4132944 4580640 4592160 5153220 5166180 6183864 6762806 6870960 6888240 7729830 8245152 8265888 10144209 10306440 10332360 12367728 13525612 13741920 13776480 15459660 16907015 20288418 20612880 20664720 24735456 27051224 30432627 30919320 33814030 40576836 41225760 41329440 50721045 54102448 60865254 61838640 67628060 81153672 91297881 101442090 108204896 121730508 123677280 135256120 152163135 162307344 182595762 202884180 243461016 270512240 273893643 304326270 324614688 365191524 405768360 456489405 486922032 541024480 547787286 608652540 730383048 811536720 821680929 912978810 973844064 1095574572 1217305080 1369468215 1460766096 1623073440 1643361858 1825957620 2191149144 2434610160 2738936430 2921532192 3286723716 3651915240 4108404645 4382298288 4869220320 5477872860 6573447432 7303830480 8216809290 8764596576 10955745720 13146894864 14607660960 16433618580 21911491440 26293789728 32867237160 43822982880 65734474320 131468948640
- Sum of all divisors σ(n): 465838079616
- Sum of proper divisors (its aliquot sum) s(n): 334369130976
- 131468948640 is an abundant number, because the sum of its proper divisors (334369130976) is greater than itself. Its abundance is 202900182336
Bases of 131468948640
- Binary: 11110100111000010100011110100101000002
- Hexadecimal: 0x1E9C28F4A0
- Base-36: 1OE97U00
Squares and roots of 131468948640
- 131468948640 squared (1314689486402) is 17284084456506957849600
- 131468948640 cubed (1314689486403) is 2272320411701935555331707244544000
-
The
square root of 131468948640 is 362586.4705694355 -
The
cube root of 131468948640 is 5084.8061011505
Scales and comparisons
How big is 131468948640?- 131,468,948,640 seconds is equal to 4,180 years, 15 weeks, 6 days, 8 hours, 24 minutes.
-
To count from 1 to 131,468,948,640 would take you about eight thousand, three hundred sixty 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 131468948640 cubic inches would be around 423.7 feet tall.
Recreational maths with 131468948640
- 131468948640 backwards is 046849864131
- 131468948640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131468948640's digits is 54
- More coming soon!
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