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23414508324 = 223485012
BaseRepresentation
bin10101110011100111…
…010000101100100100
32020102210112021010000
4111303213100230210
5340423103231244
614431222101300
71456143015444
oct256347205444
966383467100
1023414508324
119a25974729
12465557a830
132291c1036c
1411c198c124
159208dc169
hex5739d0b24

23414508324 has 45 divisors (see below), whose sum is σ = 61217351041. Its totient is φ = 7803918000.

The previous prime is 23414508301. The next prime is 23414508353. The reversal of 23414508324 is 42380541432.

The square root of 23414508324 is 153018.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1946397924 + 21468110400 = 44118^2 + 146520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 2750074 + ... + 2758574.

Almost surely, 223414508324 is an apocalyptic number.

23414508324 is the 153018-th square number.

It is an amenable number.

23414508324 is an abundant number, since it is smaller than the sum of its proper divisors (37802842717).

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

23414508324 is an frugal number, since it uses more digits than its factorization.

23414508324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17018 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 23414508324 by its sum of digits (36), we get a square (842922299664 = 9181082).

23414508324 divided by its sum of digits (36) gives a square (650403009 = 255032).

The spelling of 23414508324 in words is "twenty-three billion, four hundred fourteen million, five hundred eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 8501 17002 25503 34004 51006 76509 102012 153018 229527 306036 459054 688581 918108 1377162 2754324 72267001 144534002 216801003 289068004 433602006 650403009 867204012 1300806018 1951209027 2601612036 3902418054 5853627081 7804836108 11707254162 23414508324