Search a number
-
+
1402742462004 = 2232132997312953
BaseRepresentation
bin10100011010011001111…
…101110101011000110100
311222002201112102022002200
4110122121331311120310
5140440304032241004
62552224435104500
7203226160124052
oct24323175653064
94862645368080
101402742462004
114a0999606614
121a7a3b742130
13a237cb39960
144bc709331d2
152674dcd1239
hex14699f75634

1402742462004 has 36 divisors (see below), whose sum is σ = 3818576703396. Its totient is φ = 431613065088.

The previous prime is 1402742461997. The next prime is 1402742462039. The reversal of 1402742462004 is 4002642472041.

1402742462004 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 7 + 4 + 24 + 620 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 261221165604 + 1141521296400 = 511098^2 + 1068420^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1402742462004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1498656009 + ... + 1498656944.

Almost surely, 21402742462004 is an apocalyptic number.

It is an amenable number.

1402742462004 is an abundant number, since it is smaller than the sum of its proper divisors (2415834241392).

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

1402742462004 is a wasteful number, since it uses less digits than its factorization.

1402742462004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997312976 (or 2997312971 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 1402742462004 in words is "one trillion, four hundred two billion, seven hundred forty-two million, four hundred sixty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2997312953 5994625906 8991938859 11989251812 17983877718 26975816577 35967755436 38965068389 53951633154 77930136778 107903266308 116895205167 155860273556 233790410334 350685615501 467580820668 701371231002 1402742462004