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400221044434314 = 23222234502468573
BaseRepresentation
bin101101011111111111011100…
…1001011110110010110001010
31221111001202110201100211102100
41122333332321023312112022
5404424210144333344224
63535111002024214230
7150205005401421255
oct13277767113662612
91844052421324370
10400221044434314
11106582878929874
1238a7962a00a376
13142418b473ba0c
1470b8b3260809c
153140a03d7aac9
hex16bffb92f658a

400221044434314 has 12 divisors (see below), whose sum is σ = 867145596274386. Its totient is φ = 133407014811432.

The previous prime is 400221044434301. The next prime is 400221044434349. The reversal of 400221044434314 is 413434440122004.

400221044434314 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 210 + 4 + 4 + 4 + 3 + 431 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 300770387909289 + 99450656525025 = 17342733^2 + 9972495^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11117251234269 + ... + 11117251234304.

Almost surely, 2400221044434314 is an apocalyptic number.

400221044434314 is an abundant number, since it is smaller than the sum of its proper divisors (466924551840072).

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

400221044434314 is a wasteful number, since it uses less digits than its factorization.

400221044434314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22234502468581 (or 22234502468578 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 400221044434314 its reverse (413434440122004), we get a palindrome (813655484556318).

The spelling of 400221044434314 in words is "four hundred trillion, two hundred twenty-one billion, forty-four million, four hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 22234502468573 44469004937146 66703507405719 133407014811438 200110522217157 400221044434314