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2140431597 = 321743325343
BaseRepresentation
bin111111110010100…
…0110010011101101
312112011121012011100
41333211012103231
513340422302342
6552220513313
7104020240233
oct17745062355
95464535140
102140431597
119a9243a37
124b89ab839
132815a5c95
141643b2953
15c7da1e4c
hex7f9464ed

2140431597 has 24 divisors (see below), whose sum is σ = 3349741824. Its totient is φ = 1311778944.

The previous prime is 2140431581. The next prime is 2140431599. The reversal of 2140431597 is 7951340412.

2140431597 is a `hidden beast` number, since 21 + 4 + 0 + 43 + 1 + 597 = 666.

It is not a de Polignac number, because 2140431597 - 24 = 2140431581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140431599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156093 + ... + 169250.

It is an arithmetic number, because the mean of its divisors is an integer number (139572576).

Almost surely, 22140431597 is an apocalyptic number.

It is an amenable number.

2140431597 is a deficient number, since it is larger than the sum of its proper divisors (1209310227).

2140431597 is a wasteful number, since it uses less digits than its factorization.

2140431597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325409 (or 325406 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2140431597 is about 46264.7986810707. The cubic root of 2140431597 is about 1288.7453693117.

The spelling of 2140431597 in words is "two billion, one hundred forty million, four hundred thirty-one thousand, five hundred ninety-seven".

Divisors: 1 3 9 17 43 51 129 153 387 731 2193 6579 325343 976029 2928087 5530831 13989749 16592493 41969247 49777479 125907741 237825733 713477199 2140431597