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131483809344 = 2634326875927
BaseRepresentation
bin111101001110100001…
…0111011011001000000
3110120101022222120101110
41322131002323121000
54123234323344334
6140223002203320
712333201640056
oct1723502733100
9416338876343
10131483809344
1150842201048
12215957b3540
13c525418524
1465145961d6
153648260ae9
hex1e9d0bb640

131483809344 has 112 divisors (see below), whose sum is σ = 356167139328. Its totient is φ = 42785530368.

The previous prime is 131483809283. The next prime is 131483809381. The reversal of 131483809344 is 443908384131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 131483809293 and 131483809302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22180909 + ... + 22186835.

It is an arithmetic number, because the mean of its divisors is an integer number (3180063744).

Almost surely, 2131483809344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131483809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083569664).

131483809344 is an abundant number, since it is smaller than the sum of its proper divisors (224683329984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131483809344 is a wasteful number, since it uses less digits than its factorization.

131483809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 131483809344 in words is "one hundred thirty-one billion, four hundred eighty-three million, eight hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2687 2752 4128 5374 5927 8061 8256 10748 11854 16122 17781 21496 23708 32244 35562 42992 47416 64488 71124 85984 94832 115541 128976 142248 171968 189664 231082 254861 257952 284496 346623 379328 462164 509722 515904 568992 693246 764583 924328 1019444 1137984 1386492 1529166 1848656 2038888 2772984 3058332 3697312 4077776 5545968 6116664 7394624 8155552 11091936 12233328 15925849 16311104 22183872 24466656 31851698 47777547 48933312 63703396 95555094 127406792 191110188 254813584 382220376 509627168 684811507 764440752 1019254336 1369623014 1528881504 2054434521 2739246028 3057763008 4108869042 5478492056 8217738084 10956984112 16435476168 21913968224 32870952336 43827936448 65741904672 131483809344