131948322816
131,948,322,816 is an even composite number composed of five prime numbers multiplied together.
131948322816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 131948322816:
213 × 3 × 17 × 41 × 7703
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 41 × 7703)See below for interesting mathematical facts about the number 131948322816 from the Numbermatics database.
Names of 131948322816
- Cardinal: 131948322816 can be written as One hundred thirty-one billion, nine hundred forty-eight million, three hundred twenty-two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.31948322816 × 1011
Factors of 131948322816
Divisors of 131948322816
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 128 136 164 192 204 246 256 272 328 384 408 492 512 544 656 697 768 816 984 1024 1088 1312 1394 1536 1632 1968 2048 2091 2176 2624 2788 3072 3264 3936 4096 4182 4352 5248 5576 6144 6528 7703 7872 8192 8364 8704 10496 11152 12288 13056 15406 15744 16728 17408 20992 22304 23109 24576 26112 30812 31488 33456 34816 41984 44608 46218 52224 61624 62976 66912 69632 83968 89216 92436 104448 123248 125952 130951 133824 139264 167936 178432 184872 208896 246496 251904 261902 267648 315823 335872 356864 369744 392853 417792 492992 503808 523804 535296 631646 713728 739488 785706 947469 985984 1007616 1047608 1070592 1263292 1427456 1478976 1571412 1894938 1971968 2095216 2141184 2526584 2854912 2957952 3142824 3789876 3943936 4190432 4282368 5053168 5368991 5709824 5915904 6285648 7579752 7887872 8380864 8564736 10106336 10737982 11831808 12571296 15159504 15775744 16106973 16761728 17129472 20212672 21475964 23663616 25142592 30319008 31551488 32213946 33523456 40425344 42951928 47327232 50285184 60638016 63102976 64427892 67046912 80850688 85903856 94654464 100570368 121276032 128855784 134093824 161701376 171807712 189308928 201140736 242552064 257711568 268187648 323402752 343615424 402281472 485104128 515423136 536375296 646805504 687230848 804562944 970208256 1030846272 1072750592 1293611008 1374461696 1609125888 1940416512 2061692544 2587222016 2748923392 3218251776 3880833024 4123385088 5497846784 7761666048 8246770176 10995693568 16493540352 21991387136 32987080704 43982774272 65974161408 131948322816
- Sum of all divisors σ(n): 381673047168
- Sum of proper divisors (its aliquot sum) s(n): 249724724352
- 131948322816 is an abundant number, because the sum of its proper divisors (249724724352) is greater than itself. Its abundance is 117776401536
Bases of 131948322816
- Binary: 11110101110001011101110100000000000002
- Hexadecimal: 0x1EB8BBA000
- Base-36: 1OM6MHHC
Squares and roots of 131948322816
- 131948322816 squared (1319483228162) is 17410359893955346169856
- 131948322816 cubed (1319483228163) is 2297267787630359543509188656234496
-
The
square root of 131948322816 is 363246.9171458995 -
The
cube root of 131948322816 is 5090.9788339635
Scales and comparisons
How big is 131948322816?- 131,948,322,816 seconds is equal to 4,195 years, 28 weeks, 3 days, 15 hours, 53 minutes, 36 seconds.
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To count from 1 to 131,948,322,816 would take you about eight thousand, three hundred ninety-one 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 131948322816 cubic inches would be around 424.2 feet tall.
Recreational maths with 131948322816
- 131948322816 backwards is 618223849131
- 131948322816 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131948322816's digits is 48
- More coming soon!
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