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412312440132 = 223315792417801
BaseRepresentation
bin1011111111111111011…
…11001000110101000100
31110102020202121010122000
411333333233020311010
523223403441041012
6513225210305300
741534325625635
oct5777757106504
91412222533560
10412312440132
1114995169495a
1267aaa728230
132cb5b438088
1415d554b188c
15aad27d3ddc
hex5fffbc8d44

412312440132 has 48 divisors (see below), whose sum is σ = 1069635604800. Its totient is φ = 137350382400.

The previous prime is 412312440119. The next prime is 412312440181. The reversal of 412312440132 is 231044213214.

412312440132 is a `hidden beast` number, since 4 + 1 + 231 + 24 + 401 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 412312440096 and 412312440105.

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, 1038369 + ... + 1379432.

It is an arithmetic number, because the mean of its divisors is an integer number (22284075100).

Almost surely, 2412312440132 is an apocalyptic number.

It is an amenable number.

412312440132 is an abundant number, since it is smaller than the sum of its proper divisors (657323164668).

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

412312440132 is a wasteful number, since it uses less digits than its factorization.

412312440132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419393 (or 2419385 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 412312440132 its reverse (231044213214), we get a palindrome (643356653346).

The spelling of 412312440132 in words is "four hundred twelve billion, three hundred twelve million, four hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1579 3158 4737 6316 9474 14211 18948 28422 42633 56844 85266 170532 2417801 4835602 7253403 9671204 14506806 21760209 29013612 43520418 65280627 87040836 130561254 261122508 3817707779 7635415558 11453123337 15270831116 22906246674 34359370011 45812493348 68718740022 103078110033 137437480044 206156220066 412312440132