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23024142024 = 23313175941953
BaseRepresentation
bin10101011100010110…
…001000011011001000
32012102120222121012220
4111130112020123020
5334123140021044
614324355134040
71443362656332
oct253426103310
965376877186
1023024142024
119845589754
1245668a4320
13222c0929a0
141185bb4452
158eb4cd019
hex55c5886c8

23024142024 has 64 divisors (see below), whose sum is σ = 62024793600. Its totient is φ = 7080155136.

The previous prime is 23024142023. The next prime is 23024142041. The reversal of 23024142024 is 42024142032.

It is a super-2 number, since 2×230241420242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23024141985 and 23024142003.

It is not an unprimeable number, because it can be changed into a prime (23024142023) 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, 527832 + ... + 569784.

It is an arithmetic number, because the mean of its divisors is an integer number (969137400).

Almost surely, 223024142024 is an apocalyptic number.

23024142024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23024142024 is an abundant number, since it is smaller than the sum of its proper divisors (39000651576).

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

23024142024 is a wasteful number, since it uses less digits than its factorization.

23024142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43734 (or 43730 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23024142024 its reverse (42024142032), we get a palindrome (65048284056).

The spelling of 23024142024 in words is "twenty-three billion, twenty-four million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1759 3518 5277 7036 10554 14072 21108 22867 41953 42216 45734 68601 83906 91468 125859 137202 167812 182936 251718 274404 335624 503436 545389 548808 1006872 1090778 1636167 2181556 3272334 4363112 6544668 13089336 73795327 147590654 221385981 295181308 442771962 590362616 885543924 959339251 1771087848 1918678502 2878017753 3837357004 5756035506 7674714008 11512071012 23024142024