Search a number
-
+
141090495975 = 36521113431259
BaseRepresentation
bin1000001101100110100…
…1100001110111100111
3111111011211122211000000
42003121221201313213
54302423131332400
6144452134552343
713123232266602
oct2033151416747
9444154584000
10141090495975
11549219a7990
1223416b086b3
13103c6795aa0
146b863b5339
153a0b82b600
hex20d9a61de7

141090495975 has 336 divisors, whose sum is σ = 315583551360. Its totient is φ = 61627910400.

The previous prime is 141090495971. The next prime is 141090495979. The reversal of 141090495975 is 579594090141.

It is a happy number.

141090495975 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 9 + 0 + 49 + 597 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (141090495971) and next prime (141090495979).

It is not a de Polignac number, because 141090495975 - 22 = 141090495971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141090495971) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 112064896 + ... + 112066154.

It is an arithmetic number, because the mean of its divisors is an integer number (939236760).

Almost surely, 2141090495975 is an apocalyptic number.

141090495975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141090495975 is an abundant number, since it is smaller than the sum of its proper divisors (174493055385).

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

141090495975 is a wasteful number, since it uses less digits than its factorization.

141090495975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 141090495975 in words is "one hundred forty-one billion, ninety million, four hundred ninety-five thousand, nine hundred seventy-five".