Search a number
-
+
14246405688 = 23317239146099
BaseRepresentation
bin11010100010010011…
…01110011000111000
31100202212010101122010
431101021232120320
5213134034440223
610313353525520
71013016310314
oct152111563070
940685111563
1014246405688
1160507a74a9
1229171138a0
131460693568
149920d8b44
15585aa7393
hex35126e638

14246405688 has 64 divisors (see below), whose sum is σ = 37869120000. Its totient is φ = 4450729472.

The previous prime is 14246405687. The next prime is 14246405711. The reversal of 14246405688 is 88650464241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14246405683) 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, 24463 + ... + 170561.

It is an arithmetic number, because the mean of its divisors is an integer number (591705000).

Almost surely, 214246405688 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 14246405688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18934560000).

14246405688 is an abundant number, since it is smaller than the sum of its proper divisors (23622714312).

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

14246405688 is a wasteful number, since it uses less digits than its factorization.

14246405688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146364 (or 146360 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 14246405688 in words is "fourteen billion, two hundred forty-six million, four hundred five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 239 408 478 717 956 1434 1912 2868 4063 5736 8126 12189 16252 24378 32504 48756 97512 146099 292198 438297 584396 876594 1168792 1753188 2483683 3506376 4967366 7451049 9934732 14902098 19869464 29804196 34917661 59608392 69835322 104752983 139670644 209505966 279341288 419011932 593600237 838023864 1187200474 1780800711 2374400948 3561601422 4748801896 7123202844 14246405688