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414061431 = 37107184273
BaseRepresentation
bin11000101011100…
…001001101110111
31001212010111111120
4120223201031313
51321444431211
6105030435023
713155315120
oct3053411567
91055114446
10414061431
111a27aa533
12b6802a73
1367a25984
143cdc5047
152653ed06
hex18ae1377

414061431 has 16 divisors (see below), whose sum is σ = 636850944. Its totient is φ = 234393984.

The previous prime is 414061411. The next prime is 414061457. The reversal of 414061431 is 134160414.

It is not a de Polignac number, because 414061431 - 211 = 414059383 is a prime.

It is a super-2 number, since 2×4140614312 = 342893737283535522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414061411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89890 + ... + 94383.

It is an arithmetic number, because the mean of its divisors is an integer number (39803184).

Almost surely, 2414061431 is an apocalyptic number.

414061431 is a deficient number, since it is larger than the sum of its proper divisors (222789513).

414061431 is a wasteful number, since it uses less digits than its factorization.

414061431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184390.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 414061431 is about 20348.4994778485. The cubic root of 414061431 is about 745.3408532925.

The spelling of 414061431 in words is "four hundred fourteen million, sixty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 21 107 321 749 2247 184273 552819 1289911 3869733 19717211 59151633 138020477 414061431