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431345444543134 = 21129728661641131
BaseRepresentation
bin110001000010011100110111…
…1111111110101101010011110
32002120021012222200020022110021
41202010321233333311222132
5423014130432300340014
64125221210040102354
7156566452140262522
oct14204715777655236
92076235880208407
10431345444543134
11115492637323800
12404657787649ba
131568b915b01534
147873333889d82
1534d04417cc624
hex1884e6fff5a9e

431345444543134 has 48 divisors (see below), whose sum is σ = 718543254765168. Its totient is φ = 194037738048000.

The previous prime is 431345444543119. The next prime is 431345444543137.

431345444543134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4313454445431342 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431345444543137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672467749 + ... + 673108879.

It is an arithmetic number, because the mean of its divisors is an integer number (14969651140941).

Almost surely, 2431345444543134 is an apocalyptic number.

431345444543134 is a deficient number, since it is larger than the sum of its proper divisors (287197810222034).

431345444543134 is a wasteful number, since it uses less digits than its factorization.

431345444543134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669913 (or 669902 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 52.

The spelling of 431345444543134 in words is "four hundred thirty-one trillion, three hundred forty-five billion, four hundred forty-four million, five hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 11 22 97 121 194 242 1067 2134 11737 23474 28661 57322 315271 630542 641131 1282262 2780117 3467981 5560234 6935962 7052441 14104882 30581287 61162574 62189707 77576851 124379414 155153702 336394157 672788314 684086777 1368173554 7524954547 15049909094 18375455591 36750911182 202130011501 404260023002 1782419192327 2223430126511 3564838384654 4446860253022 19606611115597 39213222231194 215672722271567 431345444543134