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10023414144 = 27326102641
BaseRepresentation
bin10010101010111000…
…10010100110000000
3221212112211012021220
421111130102212000
5131011443223034
64334340315040
7503250420522
oct112534224600
927775735256
1010023414144
114283a57447
121b389a2a80
13c397c78b3
146b12d9a12
153d9e85749
hex255712980

10023414144 has 32 divisors (see below), whose sum is σ = 26624694840. Its totient is φ = 3341137920.

The previous prime is 10023414083. The next prime is 10023414169. The reversal of 10023414144 is 44141432001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×100234141442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 3 ways as a sum of consecutive naturals, for example, 13050937 + ... + 13051704.

Almost surely, 210023414144 is an apocalyptic number.

It is an amenable number.

10023414144 is an abundant number, since it is smaller than the sum of its proper divisors (16601280696).

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

10023414144 is an equidigital number, since it uses as much as digits as its factorization.

10023414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26102658 (or 26102646 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10023414144 its reverse (44141432001), we get a palindrome (54164846145).

The spelling of 10023414144 in words is "ten billion, twenty-three million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 26102641 52205282 78307923 104410564 156615846 208821128 313231692 417642256 626463384 835284512 1252926768 1670569024 2505853536 3341138048 5011707072 10023414144