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115400200432 = 24113781121851
BaseRepresentation
bin110101101111001100…
…0110101000011110000
3102000212102211120201111
41223132120311003300
53342314422403212
6125003014443104
711223503343016
oct1533630650360
9360772746644
10115400200432
1144a3944a680
121a447363494
13ab6123a38a
14582a49c8b6
153006251ea7
hex1ade6350f0

115400200432 has 80 divisors (see below), whose sum is σ = 250826696064. Its totient is φ = 50971680000.

The previous prime is 115400200427. The next prime is 115400200477. The reversal of 115400200432 is 234002004511.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 5270307 + ... + 5292157.

Almost surely, 2115400200432 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 115400200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125413348032).

115400200432 is an abundant number, since it is smaller than the sum of its proper divisors (135426495632).

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

115400200432 is a wasteful number, since it uses less digits than its factorization.

115400200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22718 (or 22712 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 115400200432 its reverse (234002004511), we get a palindrome (349402204943).

The spelling of 115400200432 in words is "one hundred fifteen billion, four hundred million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 811 814 1622 1628 3244 3256 6488 6512 8921 12976 17842 21851 30007 35684 43702 60014 71368 87404 120028 142736 174808 240056 240361 330077 349616 480112 480722 660154 808487 961444 1320308 1616974 1922888 2640616 3233948 3845776 5281232 6467896 8893357 12935792 17721161 17786714 35442322 35573428 70884644 71146856 141769288 142293712 194932771 283538576 389865542 655682957 779731084 1311365914 1559462168 2622731828 3118924336 5245463656 7212512527 10490927312 14425025054 28850050108 57700100216 115400200432