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312042400434304 = 2723148873711967
BaseRepresentation
bin100011011110011010000100…
…0011011101100100010000000
31111220211221222101220220222021
41012330310020123230202000
5311400000314002344204
63023354144430451224
7122504214401316121
oct10674641033544200
91456757871826867
10312042400434304
1190476491131171
122abb7aa8663b14
131051661a285487
14570ad0b716048
152611e13d76154
hex11bcd086ec880

312042400434304 has 64 divisors (see below), whose sum is σ = 648680367075840. Its totient is φ = 149236457711616.

The previous prime is 312042400434293. The next prime is 312042400434379. The reversal of 312042400434304 is 403434004240213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 312042400434304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437926129 + ... + 438638095.

It is an arithmetic number, because the mean of its divisors is an integer number (10135630735560).

Almost surely, 2312042400434304 is an apocalyptic number.

It is an amenable number.

312042400434304 is an abundant number, since it is smaller than the sum of its proper divisors (336637966641536).

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

312042400434304 is a wasteful number, since it uses less digits than its factorization.

312042400434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860877 (or 860865 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 312042400434304 its reverse (403434004240213), we get a palindrome (715476404674517).

The spelling of 312042400434304 in words is "three hundred twelve trillion, forty-two billion, four hundred million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 148873 297746 595492 711967 1190984 1423934 2381968 2847868 3424079 4763936 5695736 6848158 9527872 11391472 13696316 16375241 19055744 22782944 27392632 32750482 45565888 54785264 65500964 91131776 109570528 131001928 219141056 262003856 438282112 524007712 1048015424 2096030848 105992663191 211985326382 423970652764 847941305528 1695882611056 2437831253393 3391765222112 4875662506786 6783530444224 9751325013572 13567060888448 19502650027144 39005300054288 78010600108576 156021200217152 312042400434304