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431403104412 = 223472198317231
BaseRepresentation
bin1100100011100011010…
…00001111100010011100
31112020112020001100210000
412101301220033202130
524032003143320122
6530103413414300
743111366612200
oct6216150174234
91466466040700
10431403104412
11156a58895555
126b73803a390
13318b15cac27
1416c46acab00
15b34d7cc0ac
hex6471a0f89c

431403104412 has 360 divisors, whose sum is σ = 1397665463040. Its totient is φ = 115357193280.

The previous prime is 431403104401. The next prime is 431403104413. The reversal of 431403104412 is 214401304134.

431403104412 is a `hidden beast` number, since 4 + 3 + 140 + 3 + 104 + 412 = 666.

It is a super-2 number, since 2×4314031044122 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431403104413) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25027837 + ... + 25045067.

It is an arithmetic number, because the mean of its divisors is an integer number (3882404064).

Almost surely, 2431403104412 is an apocalyptic number.

431403104412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431403104412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698832731520).

431403104412 is an abundant number, since it is smaller than the sum of its proper divisors (966262358628).

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

431403104412 is a wasteful number, since it uses less digits than its factorization.

431403104412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17363 (or 17345 counting only the distinct ones).

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

Adding to 431403104412 its reverse (214401304134), we get a palindrome (645804408546).

The spelling of 431403104412 in words is "four hundred thirty-one billion, four hundred three million, one hundred four thousand, four hundred twelve".