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23142200144 = 2471631267649
BaseRepresentation
bin10101100011011000…
…011111001101010000
32012201211010120111212
4111203120133031100
5334343400401034
614344213355252
71446325312160
oct254330371520
965654116455
1023142200144
1198a6194548
12459a338b28
13224a689a6b
1411977465a0
15906a4d2ce
hex56361f350

23142200144 has 40 divisors (see below), whose sum is σ = 51557860800. Its totient is φ = 9857230848.

The previous prime is 23142200141. The next prime is 23142200149. The reversal of 23142200144 is 44100224132.

It is a super-2 number, since 2×231422001442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23142200141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615569 + ... + 652080.

It is an arithmetic number, because the mean of its divisors is an integer number (1288946520).

Almost surely, 223142200144 is an apocalyptic number.

It is an amenable number.

23142200144 is an abundant number, since it is smaller than the sum of its proper divisors (28415660656).

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

23142200144 is a wasteful number, since it uses less digits than its factorization.

23142200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267827 (or 1267821 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 23142200144 its reverse (44100224132), we get a palindrome (67242424276).

The spelling of 23142200144 in words is "twenty-three billion, one hundred forty-two million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 652 1141 1304 2282 2608 4564 9128 18256 1267649 2535298 5070596 8873543 10141192 17747086 20282384 35494172 70988344 141976688 206626787 413253574 826507148 1446387509 1653014296 2892775018 3306028592 5785550036 11571100072 23142200144