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23442434000 = 245311721217
BaseRepresentation
bin10101110101010001…
…110010011111010000
32020111202002000221022
4111311101302133100
5341002230342000
614434100415012
71456632254426
oct256521623720
966452060838
1023442434000
119a3a7086a7
1246629a7468
13229793a12b
1411c557b116
159230a6585
hex5754727d0

23442434000 has 40 divisors (see below), whose sum is σ = 56683810248. Its totient is φ = 9376972800.

The previous prime is 23442433999. The next prime is 23442434039. The reversal of 23442434000 is 43424432.

It can be written as a sum of positive squares in 4 ways, for example, as 2915568016 + 20526865984 = 53996^2 + 143272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5858609 + ... + 5862608.

Almost surely, 223442434000 is an apocalyptic number.

23442434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23442434000 is an abundant number, since it is smaller than the sum of its proper divisors (33241376248).

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

23442434000 is a wasteful number, since it uses less digits than its factorization.

23442434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11721240 (or 11721224 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 23442434000 its reverse (43424432), we get a palindrome (23485858432).

The spelling of 23442434000 in words is "twenty-three billion, four hundred forty-two million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11721217 23442434 46884868 58606085 93769736 117212170 187539472 234424340 293030425 468848680 586060850 937697360 1172121700 1465152125 2344243400 2930304250 4688486800 5860608500 11721217000 23442434000