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131455420992 = 2634719375153
BaseRepresentation
bin111101001101101011…
…0101000101001000000
3110120022100120021220000
41322123112220221000
54123210041432432
6140220105520000
712332405433150
oct1723326505100
9416270507800
10131455420992
11508281814a5
12215881a3000
13c51c588c9c
1465108c6760
153645a0457c
hex1e9b5a8a40

131455420992 has 560 divisors, whose sum is σ = 481545229440. Its totient is φ = 34613526528.

The previous prime is 131455420963. The next prime is 131455421057. The reversal of 131455420992 is 299024554131.

It is a happy number.

131455420992 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 554 + 2 + 0 + 9 + 92 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 25507888 + ... + 25513040.

Almost surely, 2131455420992 is an apocalyptic number.

131455420992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131455420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240772614720).

131455420992 is an abundant number, since it is smaller than the sum of its proper divisors (350089808448).

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

131455420992 is a wasteful number, since it uses less digits than its factorization.

131455420992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 131455420992 in words is "one hundred thirty-one billion, four hundred fifty-five million, four hundred twenty thousand, nine hundred ninety-two".