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412412313144340 = 225171212977391601
BaseRepresentation
bin101110111000101100011100…
…1011011010000110000010100
32000002020020021012021010120001
41131301120321123100300110
5413023430404131104330
64021043333502421044
7152603543402566015
oct13561307133206024
92002206235233501
10412412313144340
1110a453097226443
123a308329291784
13149174115610a2
1473bac1083d00c
1532a2bcd9219ca
hex17716396d0c14

412412313144340 has 24 divisors (see below), whose sum is σ = 917010908051112. Its totient is φ = 155261106124800.

The previous prime is 412412313144277. The next prime is 412412313144341. The reversal of 412412313144340 is 43441313214214.

It can be written as a sum of positive squares in 4 ways, for example, as 182699610956164 + 229712702188176 = 13516642^2 + 15156276^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 412412313144340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412412313144341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606488695461 + ... + 606488696140.

It is an arithmetic number, because the mean of its divisors is an integer number (38208787835463).

Almost surely, 2412412313144340 is an apocalyptic number.

It is an amenable number.

412412313144340 is an abundant number, since it is smaller than the sum of its proper divisors (504598594906772).

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

412412313144340 is a wasteful number, since it uses less digits than its factorization.

412412313144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212977391627 (or 1212977391625 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 412412313144340 its reverse (43441313214214), we get a palindrome (455853626358554).

The spelling of 412412313144340 in words is "four hundred twelve trillion, four hundred twelve billion, three hundred thirteen million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1212977391601 2425954783202 4851909566404 6064886958005 12129773916010 20620615657217 24259547832020 41241231314434 82482462628868 103103078286085 206206156572170 412412313144340