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125043535144 = 231131307914887
BaseRepresentation
bin111010001110100101…
…1001110110100101000
3102221202111110202001101
41310131023032310220
54022042121111034
6133235540531144
712014460340333
oct1643513166450
9387674422041
10125043535144
11490378a7790
12202989b0ab4
13ba3a0798a8
1460a30db61a
1533bcb5b514
hex1d1d2ced28

125043535144 has 64 divisors (see below), whose sum is σ = 264125030400. Its totient is φ = 54982929600.

The previous prime is 125043535117. The next prime is 125043535151. The reversal of 125043535144 is 441535340521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8392069 + ... + 8406955.

It is an arithmetic number, because the mean of its divisors is an integer number (4126953600).

Almost surely, 2125043535144 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 125043535144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132062515200).

125043535144 is an abundant number, since it is smaller than the sum of its proper divisors (139081495256).

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

125043535144 is a wasteful number, since it uses less digits than its factorization.

125043535144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18014 (or 18010 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 125043535144 its reverse (441535340521), we get a palindrome (566578875665).

The spelling of 125043535144 in words is "one hundred twenty-five billion, forty-three million, five hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 3079 6158 12316 14887 24632 29774 33869 59548 67738 95449 119096 135476 163757 190898 270952 327514 381796 461497 655028 763592 922994 1049939 1310056 1845988 2099878 3691976 4199756 5076467 8399512 10152934 20305868 40611736 45837073 91674146 183348292 366696584 504207803 1008415606 1420949263 2016831212 2841898526 4033662424 5683797052 11367594104 15630441893 31260883786 62521767572 125043535144