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23142110440 = 2355922343973
BaseRepresentation
bin10101100011011000…
…001001010011101000
32012201210222000110111
4111203120021103220
5334343340013230
614344211424104
71446324456511
oct254330112350
965653860414
1023142110440
1198a6133109
12459a2b5034
13224a657c97
141197721a08
15906a3192a
hex5636094e8

23142110440 has 64 divisors (see below), whose sum is σ = 53190950400. Its totient is φ = 9058935552.

The previous prime is 23142110419. The next prime is 23142110449. The reversal of 23142110440 is 4401124132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23142110449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504294 + ... + 548266.

It is an arithmetic number, because the mean of its divisors is an integer number (831108600).

Almost surely, 223142110440 is an apocalyptic number.

23142110440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26595475200).

23142110440 is an abundant number, since it is smaller than the sum of its proper divisors (30048839960).

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

23142110440 is a wasteful number, since it uses less digits than its factorization.

23142110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44266 (or 44262 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 23142110440 its reverse (4401124132), we get a palindrome (27543234572).

The spelling of 23142110440 in words is "twenty-three billion, one hundred forty-two million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 223 236 295 446 472 590 892 1115 1180 1784 2230 2360 4460 8920 13157 26314 43973 52628 65785 87946 105256 131570 175892 219865 263140 351784 439730 526280 879460 1758920 2594407 5188814 9805979 10377628 12972035 19611958 20755256 25944070 39223916 49029895 51888140 78447832 98059790 103776280 196119580 392239160 578552761 1157105522 2314211044 2892763805 4628422088 5785527610 11571055220 23142110440