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23142000400 = 2452213727073
BaseRepresentation
bin10101100011010111…
…101110011100010000
32012201210202102111221
4111203113232130100
5334343323003100
614344205214424
71446323520631
oct254327563420
965653672457
1023142000400
1198a6068472
12459a261414
13224a619b7c
1411976d3888
15906a0e01a
hex5635ee710

23142000400 has 60 divisors (see below), whose sum is σ = 55626727732. Its totient is φ = 9252126720.

The previous prime is 23142000317. The next prime is 23142000443. The reversal of 23142000400 is 400024132.

It can be written as a sum of positive squares in 6 ways, for example, as 3978581776 + 19163418624 = 63076^2 + 138432^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841264 + ... + 868336.

Almost surely, 223142000400 is an apocalyptic number.

23142000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23142000400 is an abundant number, since it is smaller than the sum of its proper divisors (32484727332).

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

23142000400 is a wasteful number, since it uses less digits than its factorization.

23142000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29228 (or 29217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 23142000400 its reverse (400024132), we get a palindrome (23542024532).

The spelling of 23142000400 in words is "twenty-three billion, one hundred forty-two million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2137 4274 8548 10685 17096 21370 27073 34192 42740 53425 54146 85480 106850 108292 135365 170960 213700 216584 270730 427400 433168 541460 676825 854800 1082920 1353650 2165840 2707300 5414600 10829200 57855001 115710002 231420004 289275005 462840008 578550010 925680016 1157100020 1446375025 2314200040 2892750050 4628400080 5785500100 11571000200 23142000400