Search a number
-
+
123424000024 = 231341105127541
BaseRepresentation
bin111001011110010100…
…1001100100000011000
3102210120122000211112011
41302330221030200120
54010233021000044
6132411124355304
711626363455523
oct1627451144030
9383518024464
10123424000024
11483866a3006
121bb06545b34
13b83c6941a0
145d8bd9dbba
15332589e134
hex1cbca4c818

123424000024 has 64 divisors (see below), whose sum is σ = 255552302880. Its totient is φ = 55520640000.

The previous prime is 123423999973. The next prime is 123424000031. The reversal of 123424000024 is 420000424321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123423999959 and 123424000004.

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, 4467694 + ... + 4495234.

Almost surely, 2123424000024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123424000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127776151440).

123424000024 is an abundant number, since it is smaller than the sum of its proper divisors (132128302856).

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

123424000024 is a wasteful number, since it uses less digits than its factorization.

123424000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28652 (or 28648 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 123424000024 its reverse (420000424321), we get a palindrome (543424424345).

The spelling of 123424000024 in words is "one hundred twenty-three billion, four hundred twenty-four million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1051 1066 2102 2132 4204 4264 8408 13663 27326 27541 43091 54652 55082 86182 109304 110164 172364 220328 344728 358033 560183 716066 1120366 1129181 1432132 2240732 2258362 2864264 4481464 4516724 9033448 14679353 28945591 29358706 57891182 58717412 115782364 117434824 231564728 376292683 752585366 1186769231 1505170732 2373538462 3010341464 4747076924 9494153848 15428000003 30856000006 61712000012 123424000024