Search a number
-
+
131278680976 = 2423923792
BaseRepresentation
bin111101001000011010…
…0011011001110010000
3110112212000222222011111
41322100310123032100
54122324320242401
6140150353423104
712325131243142
oct1722064331620
9415760888144
10131278680976
1150747436073
1221538b6aa94
13c4c1a86bb1
1464d523ac92
153635241e51
hex1e90d1b390

131278680976 has 45 divisors (see below), whose sum is σ = 256096846011. Its totient is φ = 65192232672.

The previous prime is 131278680937. The next prime is 131278680979. The reversal of 131278680976 is 679086872131.

The square root of 131278680976 is 362324.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131278680976.

It is not an unprimeable number, because it can be changed into a prime (131278680979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 346381555 + ... + 346381933.

Almost surely, 2131278680976 is an apocalyptic number.

131278680976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131278680976 is the 362324-th square number.

It is an amenable number.

131278680976 is a deficient number, since it is larger than the sum of its proper divisors (124818165035).

131278680976 is an frugal number, since it uses more digits than its factorization.

131278680976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 131278680976 in words is "one hundred thirty-one billion, two hundred seventy-eight million, six hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 239 379 478 758 956 1516 1912 3032 3824 6064 57121 90581 114242 143641 181162 228484 287282 362324 456968 574564 724648 913936 1149128 1449296 2298256 21648859 34330199 43297718 68660398 86595436 137320796 173190872 274641592 346381744 549283184 8204917561 16409835122 32819670244 65639340488 131278680976