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2142015413205 = 35374389755517
BaseRepresentation
bin11111001010111010000…
…100010101101111010101
321120202220201220022212210
4133022322010111233111
5240043321421210310
64320010040104033
7310520065412433
oct37127204255725
97522821808783
102142015413205
11756472949778
122a7178765019
13126cb6839155
1475961a29d53
153aabab08820
hex1f2ba115bd5

2142015413205 has 32 divisors (see below), whose sum is σ = 3601709426304. Its totient is φ = 1085682721536.

The previous prime is 2142015413179. The next prime is 2142015413227. The reversal of 2142015413205 is 5023145102412.

It is not a de Polignac number, because 2142015413205 - 215 = 2142015380437 is a prime.

It is a super-3 number, since 3×21420154132053 (a number of 38 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 44853894 + ... + 44901623.

It is an arithmetic number, because the mean of its divisors is an integer number (112553419572).

Almost surely, 22142015413205 is an apocalyptic number.

It is an amenable number.

2142015413205 is a deficient number, since it is larger than the sum of its proper divisors (1459694013099).

2142015413205 is a wasteful number, since it uses less digits than its factorization.

2142015413205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89755605.

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2142015413205 in words is "two trillion, one hundred forty-two billion, fifteen million, four hundred thirteen thousand, two hundred five".

Divisors: 1 3 5 15 37 43 111 129 185 215 555 645 1591 4773 7955 23865 89755517 269266551 448777585 1346332755 3320954129 3859487231 9962862387 11578461693 16604770645 19297436155 49814311935 57892308465 142801027547 428403082641 714005137735 2142015413205