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413241040142314 = 223678313911621921
BaseRepresentation
bin101110111110101110010110…
…1011001110111111111101010
32000012011110100121022120102121
41131331130231121313333222
5413131020122234023224
64022520151342221454
7153020452131052516
oct13575345531677752
92005143317276377
10413241040142314
1110a7425a4a9697a
123a420a7028488a
1314977602c2b2c7
147408d8a119146
1532b9533bd1be4
hex177d72d677fea

413241040142314 has 64 divisors (see below), whose sum is σ = 669154938117120. Its totient is φ = 190957815037440.

The previous prime is 413241040142261. The next prime is 413241040142449.

413241040142314 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 413241040142314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29746074 + ... + 41367994.

It is an arithmetic number, because the mean of its divisors is an integer number (10455545908080).

Almost surely, 2413241040142314 is an apocalyptic number.

413241040142314 is a deficient number, since it is larger than the sum of its proper divisors (255913897974806).

413241040142314 is a wasteful number, since it uses less digits than its factorization.

413241040142314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11622235.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 413241040142314 in words is "four hundred thirteen trillion, two hundred forty-one billion, forty million, one hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 23 46 67 83 134 139 166 278 1541 1909 3082 3197 3818 5561 6394 9313 11122 11537 18626 23074 127903 214199 255806 265351 428398 530702 772979 1545958 11621921 17778517 23243842 35557034 267304183 534608366 778668707 964619443 1557337414 1615447019 1929238886 3230894038 17909380261 22186247189 35818760522 37155281437 44372494378 64629502681 74310562874 108234950273 129259005362 134082102577 216469900546 268164205154 1486478561663 2489403856279 2972957123326 3083888359271 4978807712558 6167776718542 8983500872659 17967001745318 206620520071157 413241040142314