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131044740840 = 233351353612887
BaseRepresentation
bin111101000001011100…
…0000000111011101000
3110112020201210120122000
41322002320000323220
54121334423201330
6140111235331000
712316260630006
oct1720270007350
9415221716560
10131044740840
1150637381412
1221492750a60
13c485478390
1464b2141a76
15361e931560
hex1e82e00ee8

131044740840 has 512 divisors, whose sum is σ = 487318809600. Its totient is φ = 31118929920.

The previous prime is 131044740829. The next prime is 131044740857. The reversal of 131044740840 is 48047440131.

It is a happy number.

131044740840 is a `hidden beast` number, since 1 + 3 + 104 + 474 + 0 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131044740795 and 131044740804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45389877 + ... + 45392763.

It is an arithmetic number, because the mean of its divisors is an integer number (951794550).

Almost surely, 2131044740840 is an apocalyptic number.

131044740840 is a gapful number since it is divisible by the number (10) 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 131044740840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243659404800).

131044740840 is an abundant number, since it is smaller than the sum of its proper divisors (356274068760).

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

131044740840 is a wasteful number, since it uses less digits than its factorization.

131044740840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 131044740840 in words is "one hundred thirty-one billion, forty-four million, seven hundred forty thousand, eight hundred forty".