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1331235254142 = 2321727111604737
BaseRepresentation
bin10011010111110011110…
…011011110111101111110
311201021011001222202201200
4103113303303132331332
5133302332211113032
62455321103320330
7165115151646303
oct23276363367576
94637131882650
101331235254142
11473634660a12
12196003bb00a6
13986c5378341
1448609a9d0aa
152496620047c
hex135f3cdef7e

1331235254142 has 48 divisors (see below), whose sum is σ = 3055138718112. Its totient is φ = 417488117760.

The previous prime is 1331235254101. The next prime is 1331235254179. The reversal of 1331235254142 is 2414525321331.

1331235254142 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 23 + 52 + 541 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1331235254097 and 1331235254106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27198 + ... + 1631934.

It is an arithmetic number, because the mean of its divisors is an integer number (63648723294).

Almost surely, 21331235254142 is an apocalyptic number.

1331235254142 is an abundant number, since it is smaller than the sum of its proper divisors (1723903463970).

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

1331235254142 is a wasteful number, since it uses less digits than its factorization.

1331235254142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607473 (or 1607470 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 1331235254142 in words is "one trillion, three hundred thirty-one billion, two hundred thirty-five million, two hundred fifty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2711 5422 8133 16266 24399 46087 48798 92174 138261 276522 414783 829566 1604737 3209474 4814211 9628422 14442633 27280529 28885266 54561058 81841587 163683174 245524761 491049522 4350442007 8700884014 13051326021 26102652042 39153978063 73957514119 78307956126 147915028238 221872542357 443745084714 665617627071 1331235254142