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131085150432 = 2538831546399
BaseRepresentation
bin111101000010101001…
…0001010100011100000
3110112100112211121011120
41322011102022203200
54121430244303212
6140115241412240
712320261252145
oct1720522124340
9415315747146
10131085150432
1150658171775
12214a419a080
13c490956492
1464b76603cc
15362326488c
hex1e8548a8e0

131085150432 has 48 divisors (see below), whose sum is σ = 344488435200. Its totient is φ = 43645537152.

The previous prime is 131085150403. The next prime is 131085150439. The reversal of 131085150432 is 234051580131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 131085150393 and 131085150402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131085150439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688432 + ... + 857967.

It is an arithmetic number, because the mean of its divisors is an integer number (7176842400).

Almost surely, 2131085150432 is an apocalyptic number.

131085150432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131085150432 is an abundant number, since it is smaller than the sum of its proper divisors (213403284768).

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

131085150432 is a wasteful number, since it uses less digits than its factorization.

131085150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547295 (or 1547287 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 131085150432 in words is "one hundred thirty-one billion, eighty-five million, one hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 883 1766 2649 3532 5298 7064 10596 14128 21192 28256 42384 84768 1546399 3092798 4639197 6185596 9278394 12371192 18556788 24742384 37113576 49484768 74227152 148454304 1365470317 2730940634 4096410951 5461881268 8192821902 10923762536 16385643804 21847525072 32771287608 43695050144 65542575216 131085150432