Search a number
-
+
137441931 = 3114164907
BaseRepresentation
bin10000011000100…
…11001010001011
3100120121202212220
420030103022023
5240141120211
621345505123
73256144224
oct1014231213
9316552786
10137441931
1170645180
123a0421a3
1322622bb3
141437a24b
15c0ed806
hex831328b

137441931 has 8 divisors (see below), whose sum is σ = 199915584. Its totient is φ = 83298120.

The previous prime is 137441929. The next prime is 137441947. The reversal of 137441931 is 139144731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137441931 - 21 = 137441929 is a prime.

It is a super-2 number, since 2×1374419312 = 37780568794017522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 4164907 = 137441931 / (1 + 3 + 7 + 4 + 4 + 1 + 9 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 137441892 and 137441901.

It is not an unprimeable number, because it can be changed into a prime (137441981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2082421 + ... + 2082486.

It is an arithmetic number, because the mean of its divisors is an integer number (24989448).

Almost surely, 2137441931 is an apocalyptic number.

137441931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137441931 is a deficient number, since it is larger than the sum of its proper divisors (62473653).

137441931 is a wasteful number, since it uses less digits than its factorization.

137441931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164921.

The product of its digits is 9072, while the sum is 33.

The square root of 137441931 is about 11723.5630676002. The cubic root of 137441931 is about 516.0673887410.

The spelling of 137441931 in words is "one hundred thirty-seven million, four hundred forty-one thousand, nine hundred thirty-one".

Divisors: 1 3 11 33 4164907 12494721 45813977 137441931