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131144432032 = 25191187181717
BaseRepresentation
bin111101000100011010…
…0010011100110100000
3110112111200101102020101
41322020310103212200
54122040433311112
6140125200152144
712321611164615
oct1721064234640
9415450342211
10131144432032
1150688681929
1221500008654
13c4a0011453
1464c149250c
153628574757
hex1e88d139a0

131144432032 has 48 divisors (see below), whose sum is σ = 272010039840. Its totient is φ = 62068370688.

The previous prime is 131144432011. The next prime is 131144432057. The reversal of 131144432032 is 230234441131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630838 + ... + 812554.

It is an arithmetic number, because the mean of its divisors is an integer number (5666875830).

Almost surely, 2131144432032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131144432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136005019920).

131144432032 is an abundant number, since it is smaller than the sum of its proper divisors (140865607808).

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

131144432032 is a wasteful number, since it uses less digits than its factorization.

131144432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182933 (or 182925 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131144432032 its reverse (230234441131), we get a palindrome (361378873163).

Subtracting 131144432032 from its reverse (230234441131), we obtain a palindrome (99090009099).

The spelling of 131144432032 in words is "one hundred thirty-one billion, one hundred forty-four million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1187 2374 4748 9496 18992 22553 37984 45106 90212 180424 181717 360848 363434 721696 726868 1453736 2907472 3452623 5814944 6905246 13810492 27620984 55241968 110483936 215698079 431396158 862792316 1725584632 3451169264 4098263501 6902338528 8196527002 16393054004 32786108008 65572216016 131144432032