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23144410432 = 2611132528891
BaseRepresentation
bin10101100011100000…
…111010110101000000
32012201222021212110101
4111203200322311000
5334344432113212
614344333012144
71446353146153
oct254340726500
965658255411
1023144410432
1198a7464130
12459b024054
13224ac81b20
141197b5dc9a
15906d38157
hex56383ad40

23144410432 has 56 divisors (see below), whose sum is σ = 53956439712. Its totient is φ = 9710937600.

The previous prime is 23144410423. The next prime is 23144410433. The reversal of 23144410432 is 23401444132.

It is a super-3 number, since 3×231444104323 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23144410432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144410433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255294 + ... + 1273597.

It is an arithmetic number, because the mean of its divisors is an integer number (963507852).

Almost surely, 223144410432 is an apocalyptic number.

23144410432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23144410432 is an abundant number, since it is smaller than the sum of its proper divisors (30812029280).

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

23144410432 is a wasteful number, since it uses less digits than its factorization.

23144410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528927 (or 2528917 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23144410432 its reverse (23401444132), we get a palindrome (46545854564).

The spelling of 23144410432 in words is "twenty-three billion, one hundred forty-four million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 2528891 5057782 10115564 20231128 27817801 32875583 40462256 55635602 65751166 80924512 111271204 131502332 161849024 222542408 263004664 361631413 445084816 526009328 723262826 890169632 1052018656 1446525652 1780339264 2104037312 2893051304 5786102608 11572205216 23144410432