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23124134424 = 23343193116099
BaseRepresentation
bin10101100010010011…
…100100101000011000
32012200120010202000010
4111202103210220120
5334324234300144
614342330241520
71446015620346
oct254223445030
965616122003
1023124134424
119896a754a6
1245942862a0
132246a02ba1
1411951a2996
159051805b9
hex5624e4a18

23124134424 has 64 divisors (see below), whose sum is σ = 59461776000. Its totient is φ = 7489714176.

The previous prime is 23124134393. The next prime is 23124134461. The reversal of 23124134424 is 42443142132.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23124134391 and 23124134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141127 + ... + 257225.

It is an arithmetic number, because the mean of its divisors is an integer number (929090250).

Almost surely, 223124134424 is an apocalyptic number.

23124134424 is a gapful number since it is divisible by the number (24) 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 23124134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730888000).

23124134424 is an abundant number, since it is smaller than the sum of its proper divisors (36337641576).

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

23124134424 is a wasteful number, since it uses less digits than its factorization.

23124134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116344 (or 116340 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 23124134424 its reverse (42443142132), we get a palindrome (65567276556).

The spelling of 23124134424 in words is "twenty-three billion, one hundred twenty-four million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 193 258 344 386 516 579 772 1032 1158 1544 2316 4632 8299 16598 24897 33196 49794 66392 99588 116099 199176 232198 348297 464396 696594 928792 1393188 2786376 4992257 9984514 14976771 19969028 22407107 29953542 39938056 44814214 59907084 67221321 89628428 119814168 134442642 179256856 268885284 537770568 963505601 1927011202 2890516803 3854022404 5781033606 7708044808 11562067212 23124134424