Search a number
-
+
412400203034031 = 3325935890505821
BaseRepresentation
bin101110111000100110110011…
…1100110110110110110101111
32000002012002000012221210021000
41131301031213212312312233
5413023231103434042111
64021034012101011343
7152602634323420662
oct13561154746666657
92002162005853230
10412400203034031
1110a448a423a8313
123a305b096b3b53
1314916231655c44
1473ba3c235b6d9
1532a27206a0c56
hex17713679b6daf

412400203034031 has 16 divisors (see below), whose sum is σ = 611198884090720. Its totient is φ = 274827439537920.

The previous prime is 412400203033997. The next prime is 412400203034069. The reversal of 412400203034031 is 130430302004214.

412400203034031 is a `hidden beast` number, since 4 + 1 + 240 + 0 + 20 + 30 + 340 + 31 = 666.

It is not a de Polignac number, because 412400203034031 - 211 = 412400203031983 is a prime.

It is a super-2 number, since 2×4124002030340312 (a number of 30 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412400203033986 and 412400203034004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412400203014031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2945182900 + ... + 2945322921.

It is an arithmetic number, because the mean of its divisors is an integer number (38199930255670).

Almost surely, 2412400203034031 is an apocalyptic number.

412400203034031 is a deficient number, since it is larger than the sum of its proper divisors (198798681056689).

412400203034031 is a wasteful number, since it uses less digits than its factorization.

412400203034031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890508423 (or 5890508417 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 412400203034031 its reverse (130430302004214), we get a palindrome (542830505038245).

The spelling of 412400203034031 in words is "four hundred twelve trillion, four hundred billion, two hundred three million, thirty-four thousand, thirty-one".

Divisors: 1 3 9 27 2593 7779 23337 70011 5890505821 17671517463 53014552389 159043657167 15274081593853 45822244781559 137466734344677 412400203034031