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402434104221 = 33181205340111
BaseRepresentation
bin1011101101100101111…
…00010001101110011101
31102110202022202200021000
411312302330101232131
523043141112313341
6504513051300513
741034456305532
oct5666274215635
91373668680230
10402434104221
11145742618986
1265bb244a739
132bc45a080b6
141569957cd89
15a7054598b6
hex5db2f11b9d

402434104221 has 32 divisors (see below), whose sum is σ = 599799549440. Its totient is φ = 266670532800.

The previous prime is 402434104169. The next prime is 402434104279. The reversal of 402434104221 is 122401434204.

402434104221 is a `hidden beast` number, since 4 + 0 + 2 + 434 + 1 + 0 + 4 + 221 = 666.

It is not a de Polignac number, because 402434104221 - 211 = 402434102173 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402434104921) 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 31 ways as a sum of consecutive naturals, for example, 10012956 + ... + 10053066.

It is an arithmetic number, because the mean of its divisors is an integer number (18743735920).

Almost surely, 2402434104221 is an apocalyptic number.

It is an amenable number.

402434104221 is a deficient number, since it is larger than the sum of its proper divisors (197365445219).

402434104221 is a wasteful number, since it uses less digits than its factorization.

402434104221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42354 (or 42348 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 402434104221 its reverse (122401434204), we get a palindrome (524835538425).

The spelling of 402434104221 in words is "four hundred two billion, four hundred thirty-four million, one hundred four thousand, two hundred twenty-one".

Divisors: 1 3 9 27 181 543 1629 2053 4887 6159 18477 40111 55431 120333 360999 371593 1082997 1114779 3344337 7260091 10033011 21780273 65340819 82347883 196022457 247043649 741130947 2223392841 14904966823 44714900469 134144701407 402434104221