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431234114403042 = 23226938896194133
BaseRepresentation
bin110001000001101001000010…
…0001101000011101011100010
32002112212120121212221012220100
41202003102010031003223202
5423010314431241344132
64125054114532523230
7156555431234560566
oct14203220415035342
92075776555835810
10431234114403042
1111544a3a736a765
1240448088480516
1315681282b759b2
14786bbb1b7b6a6
1534cc5c7a3e37c
hex1883484343ae2

431234114403042 has 24 divisors (see below), whose sum is σ = 934687532882844. Its totient is φ = 143691327620064.

The previous prime is 431234114402983. The next prime is 431234114403049. The reversal of 431234114403042 is 240304411432134.

431234114403042 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 341 + 1 + 4 + 4 + 0 + 304 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 375682895616681 + 55551218786361 = 19382541^2 + 7453269^2 .

It is a super-2 number, since 2×4312341144030422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431234114402988 and 431234114403006.

It is not an unprimeable number, because it can be changed into a prime (431234114403049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4448048593 + ... + 4448145540.

Almost surely, 2431234114403042 is an apocalyptic number.

431234114403042 is an abundant number, since it is smaller than the sum of its proper divisors (503453418479802).

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

431234114403042 is a wasteful number, since it uses less digits than its factorization.

431234114403042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896196834 (or 8896196831 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 431234114403042 its reverse (240304411432134), we get a palindrome (671538525835176).

The spelling of 431234114403042 in words is "four hundred thirty-one trillion, two hundred thirty-four billion, one hundred fourteen million, four hundred three thousand, forty-two".

Divisors: 1 2 3 6 9 18 2693 5386 8079 16158 24237 48474 8896194133 17792388266 26688582399 53377164798 80065747197 160131494394 23957450800169 47914901600338 71872352400507 143744704801014 215617057201521 431234114403042