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350142050403405 = 3451366503713277
BaseRepresentation
bin100111110011100111100110…
…0100010010000010001001101
31200220202020211112000000110000
41033213033030202100101031
5331343211404400402110
63240405012022434513
7133515633263550051
oct11747171442202115
91626666745000400
10350142050403405
11a16254562a5117
123332ba60292a39
131204b33b431020
146266d73ac7c61
152a72ee920c1c0
hex13e73cc89044d

350142050403405 has 40 divisors (see below), whose sum is σ = 675943741757592. Its totient is φ = 172377624811392.

The previous prime is 350142050403347. The next prime is 350142050403421. The reversal of 350142050403405 is 504304050241053.

350142050403405 is a `hidden beast` number, since 3 + 5 + 0 + 1 + 4 + 205 + 0 + 40 + 3 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 268841213001 + 349873209190404 = 518499^2 + 18704898^2 .

It is not a de Polignac number, because 350142050403405 - 225 = 350142016848973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 350142050403405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33251851374 + ... + 33251861903.

Almost surely, 2350142050403405 is an apocalyptic number.

It is an amenable number.

350142050403405 is a deficient number, since it is larger than the sum of its proper divisors (325801691354187).

350142050403405 is a wasteful number, since it uses less digits than its factorization.

350142050403405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66503713307 (or 66503713298 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 350142050403405 in words is "three hundred fifty trillion, one hundred forty-two billion, fifty million, four hundred three thousand, four hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 66503713277 199511139831 332518566385 598533419493 864548272601 997555699155 1795600258479 2593644817803 2992667097465 4322741363005 5386800775437 7780934453409 8978001292395 12968224089015 23342803360227 26934003877185 38904672267045 70028410080681 116714016801135 350142050403405