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23432432144 = 2411212103529
BaseRepresentation
bin10101110100101011…
…101000101000010000
32020111001020212222012
4111310223220220100
5340442200312034
614433102202052
71456451246462
oct256453505020
966431225865
1023432432144
119a34aa7100
12465b583328
132295847784
1411c40d6132
1592227ccce
hex574ae8a10

23432432144 has 30 divisors (see below), whose sum is σ = 49902854190. Its totient is φ = 10651104640.

The previous prime is 23432432141. The next prime is 23432432159. The reversal of 23432432144 is 44123423432.

It can be written as a sum of positive squares in only one way, i.e., 20160592144 + 3271840000 = 141988^2 + 57200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23432432144.

It is not an unprimeable number, because it can be changed into a prime (23432432141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6049829 + ... + 6053700.

It is an arithmetic number, because the mean of its divisors is an integer number (1663428473).

Almost surely, 223432432144 is an apocalyptic number.

It is an amenable number.

23432432144 is an abundant number, since it is smaller than the sum of its proper divisors (26470422046).

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

23432432144 is a wasteful number, since it uses less digits than its factorization.

23432432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103559 (or 12103542 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 23432432144 its reverse (44123423432), we get a palindrome (67555855576).

The spelling of 23432432144 in words is "twenty-three billion, four hundred thirty-two million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 12103529 24207058 48414116 96828232 133138819 193656464 266277638 532555276 1065110552 1464527009 2130221104 2929054018 5858108036 11716216072 23432432144