Search a number
-
+
40402665144 = 2332632988663
BaseRepresentation
bin100101101000001011…
…111011111010111000
310212021201202001020100
4211220023323322320
51130221040241034
630321041155400
72630133662442
oct455013737270
9125251661210
1040402665144
1116153284356
1279b692bb60
133a6b617c6a
141d53c67492
1510b7025099
hex9682fbeb8

40402665144 has 48 divisors (see below), whose sum is σ = 109442408400. Its totient is φ = 13465275264.

The previous prime is 40402665133. The next prime is 40402665157. The reversal of 40402665144 is 44156620404.

40402665144 is a `hidden beast` number, since 40 + 40 + 2 + 66 + 514 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40402665099 and 40402665108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411357 + ... + 500019.

It is an arithmetic number, because the mean of its divisors is an integer number (2280050175).

Almost surely, 240402665144 is an apocalyptic number.

It is an amenable number.

40402665144 is an abundant number, since it is smaller than the sum of its proper divisors (69039743256).

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

40402665144 is a wasteful number, since it uses less digits than its factorization.

40402665144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95004 (or 94997 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40402665144 in words is "forty billion, four hundred two million, six hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6329 12658 18987 25316 37974 50632 56961 75948 88663 113922 151896 177326 227844 265989 354652 455688 531978 709304 797967 1063956 1595934 2127912 3191868 6383736 561148127 1122296254 1683444381 2244592508 3366888762 4489185016 5050333143 6733777524 10100666286 13467555048 20201332572 40402665144