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1416391279164 = 223240351975049
BaseRepresentation
bin10100100111000111011…
…111111100001000111100
312000101221202002001101100
4110213013133330020330
5141201232131413124
63002403044413100
7204221332140651
oct24470737741074
95011852061340
101416391279164
114a6762a519a4
121aa60a6a7190
13a374676a124
144c7a7511c28
1526c9c1951c9
hex149c77fc23c

1416391279164 has 36 divisors (see below), whose sum is σ = 3580414801600. Its totient is φ = 472118241600.

The previous prime is 1416391279157. The next prime is 1416391279169. The reversal of 1416391279164 is 4619721936141.

1416391279164 is a `hidden beast` number, since 14 + 16 + 391 + 2 + 79 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1416391279164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416391279169) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 965112 + ... + 1940160.

Almost surely, 21416391279164 is an apocalyptic number.

It is an amenable number.

1416391279164 is an abundant number, since it is smaller than the sum of its proper divisors (2164023522436).

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

1416391279164 is a wasteful number, since it uses less digits than its factorization.

1416391279164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015410 (or 1015405 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

It can be divided in two parts, 14163912 and 79164, that added together give a square (14243076 = 37742).

The spelling of 1416391279164 in words is "one trillion, four hundred sixteen billion, three hundred ninety-one million, two hundred seventy-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 40351 80702 121053 161404 242106 363159 484212 726318 975049 1452636 1950098 2925147 3900196 5850294 8775441 11700588 17550882 35101764 39344202199 78688404398 118032606597 157376808796 236065213194 354097819791 472130426388 708195639582 1416391279164