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131424518724 = 22329312392983
BaseRepresentation
bin111101001100110000…
…0110000001001000100
3110120020012102021221120
41322121200300021010
54123124134044344
6140213043313540
712331551656112
oct1723140601104
9416205367846
10131424518724
1150811795134
122157997b8b0
13c516059415
14650a760ab2
153642e4d219
hex1e99830244

131424518724 has 72 divisors (see below), whose sum is σ = 327795814080. Its totient is φ = 40933005120.

The previous prime is 131424518723. The next prime is 131424518773. The reversal of 131424518724 is 427815424131.

131424518724 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131424518723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137937 + ... + 530919.

It is an arithmetic number, because the mean of its divisors is an integer number (4552719640).

Almost surely, 2131424518724 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 131424518724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163897907040).

131424518724 is an abundant number, since it is smaller than the sum of its proper divisors (196371295356).

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

131424518724 is a wasteful number, since it uses less digits than its factorization.

131424518724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393081 (or 393048 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The spelling of 131424518724 in words is "one hundred thirty-one billion, four hundred twenty-four million, five hundred eighteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 961 1798 1922 2697 2883 3596 3844 5394 5766 10788 11532 27869 55738 83607 111476 167214 334428 392983 785966 1178949 1571932 2357898 4715796 11396507 12182473 22793014 24364946 34189521 36547419 45586028 48729892 68379042 73094838 136758084 146189676 353291717 377656663 706583434 755313326 1059875151 1132969989 1413166868 1510626652 2119750302 2265939978 4239500604 4531879956 10952043227 21904086454 32856129681 43808172908 65712259362 131424518724