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412302404040 = 233523149384929
BaseRepresentation
bin1011111111111110010…
…00110110100111001000
31110102020001201020200220
411333333020312213020
523223343403412130
6513224211230040
741534144416122
oct5777710664710
91412201636626
10412302404040
11149946a5a66a
1267aa72a8320
132cb59332c67
1415d5401c212
15aad19a0410
hex5fff2369c8

412302404040 has 64 divisors (see below), whose sum is σ = 1290685795200. Its totient is φ = 105166989312.

The previous prime is 412302404027. The next prime is 412302404099. The reversal of 412302404040 is 40404203214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 412302404040.

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, 74689705 + ... + 74695224.

It is an arithmetic number, because the mean of its divisors is an integer number (20166965550).

Almost surely, 2412302404040 is an apocalyptic number.

412302404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412302404040 is an abundant number, since it is smaller than the sum of its proper divisors (878383391160).

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

412302404040 is a wasteful number, since it uses less digits than its factorization.

412302404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149384966 (or 149384962 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 412302404040 its reverse (40404203214), we get a palindrome (452706607254).

The spelling of 412302404040 in words is "four hundred twelve billion, three hundred two million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 149384929 298769858 448154787 597539716 746924645 896309574 1195079432 1493849290 1792619148 2240773935 2987698580 3435853367 3585238296 4481547870 5975397160 6871706734 8963095740 10307560101 13743413468 17179266835 17926191480 20615120202 27486826936 34358533670 41230240404 51537800505 68717067340 82460480808 103075601010 137434134680 206151202020 412302404040