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400454400350241 = 32172617349021897
BaseRepresentation
bin101101100001101100000111…
…0010010000001100000100001
31221111220001210200200121111100
41123003120032102001200201
5404442021102442201431
63535410113431305013
7150230606232113466
oct13303301622014041
91844801720617440
10400454400350241
1110666283719a336
1238ab68b451b169
131425a8c3482343
1470c614c70766d
153146b108744e6
hex16c360e481821

400454400350241 has 12 divisors (see below), whose sum is σ = 612459671124132. Its totient is φ = 251265506102016.

The previous prime is 400454400350083. The next prime is 400454400350281. The reversal of 400454400350241 is 142053004454004.

400454400350241 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 5 + 4 + 400 + 3 + 5 + 0 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 168521938560000 + 231932461790241 = 12981600^2 + 15229329^2 .

It is not a de Polignac number, because 400454400350241 - 215 = 400454400317473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400454400350196 and 400454400350205.

It is not an unprimeable number, because it can be changed into a prime (400454400350281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1308674510796 + ... + 1308674511101.

It is an arithmetic number, because the mean of its divisors is an integer number (51038305927011).

Almost surely, 2400454400350241 is an apocalyptic number.

It is an amenable number.

400454400350241 is a deficient number, since it is larger than the sum of its proper divisors (212005270773891).

400454400350241 is a wasteful number, since it uses less digits than its factorization.

400454400350241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617349021920 (or 2617349021917 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 400454400350241 in words is "four hundred trillion, four hundred fifty-four billion, four hundred million, three hundred fifty thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 2617349021897 7852047065691 23556141197073 44494933372249 133484800116747 400454400350241