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31314434420304 = 2432731065907163
BaseRepresentation
bin1110001111010111101011…
…01111010110111001010000
311002212122000202221201220200
413013223311233112321100
513101023430202422204
6150333352542335200
76411251606536620
oct707536557267120
9132778022851820
1031314434420304
119a83416956922
123618b4488a500
131461c27b48a99
147a38ab9b2880
15394861044539
hex1c7af5bd6e50

31314434420304 has 60 divisors (see below), whose sum is σ = 100156484696736. Its totient is φ = 8946981262656.

The previous prime is 31314434420299. The next prime is 31314434420341. The reversal of 31314434420304 is 40302443441313.

31314434420304 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 4 + 4 + 344 + 2 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15532952574 + ... + 15532954589.

Almost surely, 231314434420304 is an apocalyptic number.

It is an amenable number.

31314434420304 is an abundant number, since it is smaller than the sum of its proper divisors (68842050276432).

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

31314434420304 is a wasteful number, since it uses less digits than its factorization.

31314434420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31065907184 (or 31065907175 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 31314434420304 its reverse (40302443441313), we get a palindrome (71616877861617).

The spelling of 31314434420304 in words is "thirty-one trillion, three hundred fourteen billion, four hundred thirty-four million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 31065907163 62131814326 93197721489 124263628652 186395442978 217461350141 248527257304 279593164467 372790885956 434922700282 497054514608 559186328934 652384050423 745581771912 869845400564 1118372657868 1304768100846 1491163543824 1739690801128 1957152151269 2236745315736 2609536201692 3479381602256 3914304302538 4473490631472 5219072403384 7828608605076 10438144806768 15657217210152 31314434420304