Search a number
-
+
131751399456 = 25323831194439
BaseRepresentation
bin111101010110011111…
…1101101000000100000
3110121001222111120000100
41322230333231000200
54124311324240311
6140305321422400
712342631263135
oct1725477550040
9417058446010
10131751399456
115096a2594a6
122164b33aa00
13c5689a9481
14653bd3058c
1536619bba56
hex1eacfed020

131751399456 has 72 divisors (see below), whose sum is σ = 375646602240. Its totient is φ = 43802430336.

The previous prime is 131751399413. The next prime is 131751399469. The reversal of 131751399456 is 654993157131.

131751399456 is a `hidden beast` number, since 1 + 3 + 175 + 13 + 9 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1317513994562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486916 + ... + 707523.

It is an arithmetic number, because the mean of its divisors is an integer number (5217313920).

Almost surely, 2131751399456 is an apocalyptic number.

131751399456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131751399456 is an abundant number, since it is smaller than the sum of its proper divisors (243895202784).

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

131751399456 is a wasteful number, since it uses less digits than its factorization.

131751399456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194838 (or 1194827 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The spelling of 131751399456 in words is "one hundred thirty-one billion, seven hundred fifty-one million, three hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 383 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 12256 13788 18384 27576 36768 55152 110304 1194439 2388878 3583317 4777756 7166634 9555512 10749951 14333268 19111024 21499902 28666536 38222048 42999804 57333072 85999608 114666144 171999216 343998432 457470137 914940274 1372410411 1829880548 2744820822 3659761096 4117231233 5489641644 7319522192 8234462466 10979283288 14639044384 16468924932 21958566576 32937849864 43917133152 65875699728 131751399456