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131444244120 = 233571733127809
BaseRepresentation
bin111101001101010101…
…1111111111010011000
3110120021120112110002210
41322122223333322120
54123144211302440
6140215030155120
712332211432420
oct1723253777230
9416246473083
10131444244120
1150821938112
12215844b2aa0
13c51a174857
14650d217480
153644a47a80
hex1e9aaffe98

131444244120 has 256 divisors, whose sum is σ = 478634572800. Its totient is φ = 28190638080.

The previous prime is 131444244101. The next prime is 131444244149. The reversal of 131444244120 is 21442444131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4712776 + ... + 4740584.

It is an arithmetic number, because the mean of its divisors is an integer number (1869666300).

Almost surely, 2131444244120 is an apocalyptic number.

131444244120 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 131444244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239317286400).

131444244120 is an abundant number, since it is smaller than the sum of its proper divisors (347190328680).

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

131444244120 is a wasteful number, since it uses less digits than its factorization.

131444244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28178 (or 28174 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 131444244120 its reverse (21442444131), we get a palindrome (152886688251).

The spelling of 131444244120 in words is "one hundred thirty-one billion, four hundred forty-four million, two hundred forty-four thousand, one hundred twenty".