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20432034144 = 253270944563
BaseRepresentation
bin10011000001110110…
…000001100101100000
31221201221110212200100
4103001312001211200
5313321100043034
613215241222400
71322216265444
oct230166014540
957657425610
1020432034144
118735394735
123b62791a00
131c08054042
14dbb828824
157e8b5b099
hex4c1d81960

20432034144 has 36 divisors (see below), whose sum is σ = 58103597916. Its totient is φ = 6810677952.

The previous prime is 20432034127. The next prime is 20432034169. The reversal of 20432034144 is 44143023402.

It is a happy number.

20432034144 is a `hidden beast` number, since 2 + 0 + 43 + 203 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35471994 + ... + 35472569.

It is an arithmetic number, because the mean of its divisors is an integer number (1613988831).

Almost surely, 220432034144 is an apocalyptic number.

20432034144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20432034144 is an abundant number, since it is smaller than the sum of its proper divisors (37671563772).

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

20432034144 is a wasteful number, since it uses less digits than its factorization.

20432034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70944579 (or 70944568 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20432034144 its reverse (44143023402), we get a palindrome (64575057546).

The spelling of 20432034144 in words is "twenty billion, four hundred thirty-two million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 70944563 141889126 212833689 283778252 425667378 567556504 638501067 851334756 1135113008 1277002134 1702669512 2270226016 2554004268 3405339024 5108008536 6810678048 10216017072 20432034144