Search a number
-
+
406240668096 = 26317124460989
BaseRepresentation
bin1011110100101011101…
…01001010100111000000
31102211120121111011020020
411322111311022213000
523123440102334341
6510342511213440
741231010463434
oct5722565124700
91384517434206
10406240668096
111473162a273a
1266895217280
132c401530063
141593ad3c9c4
15a879720566
hex5e95d4a9c0

406240668096 has 56 divisors (see below), whose sum is σ = 1138071292560. Its totient is φ = 127448051712.

The previous prime is 406240668091. The next prime is 406240668131. The reversal of 406240668096 is 690866042604.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406240668091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62227231 + ... + 62233758.

Almost surely, 2406240668096 is an apocalyptic number.

It is an amenable number.

406240668096 is an abundant number, since it is smaller than the sum of its proper divisors (731830624464).

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

406240668096 is a wasteful number, since it uses less digits than its factorization.

406240668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124461021 (or 124461011 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 406240668096 in words is "four hundred six billion, two hundred forty million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 124460989 248921978 373382967 497843956 746765934 995687912 1493531868 1991375824 2115836813 2987063736 3982751648 4231673626 5974127472 6347510439 7965503296 8463347252 11948254944 12695020878 16926694504 23896509888 25390041756 33853389008 50780083512 67706778016 101560167024 135413556032 203120334048 406240668096