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1403142004314 = 23443120095987
BaseRepresentation
bin10100011010110001110…
…001111101111001011010
311222010202101020011010000
4110122301301331321122
5140442113323114224
62552332230433430
7203242111151331
oct24326161757132
94863671204100
101403142004314
114a1084099676
121a7b31502876
13a241484ab1b
144bcaba18d18
1526773e040c9
hex146b1c7de5a

1403142004314 has 40 divisors (see below), whose sum is σ = 3151372454208. Its totient is φ = 466628794920.

The previous prime is 1403142004291. The next prime is 1403142004321. The reversal of 1403142004314 is 4134002413041.

1403142004314 is a `hidden beast` number, since 1 + 403 + 1 + 4 + 200 + 43 + 14 = 666.

It is a super-3 number, since 3×14031420043143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 9978172 + ... + 10117815.

Almost surely, 21403142004314 is an apocalyptic number.

1403142004314 is an abundant number, since it is smaller than the sum of its proper divisors (1748230449894).

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

1403142004314 is a wasteful number, since it uses less digits than its factorization.

1403142004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20096432 (or 20096423 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1403142004314 its reverse (4134002413041), we get a palindrome (5537144417355).

The spelling of 1403142004314 in words is "one trillion, four hundred three billion, one hundred forty-two million, four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 431 862 1293 2586 3879 7758 11637 23274 34911 69822 20095987 40191974 60287961 120575922 180863883 361727766 542591649 1085183298 1627774947 3255549894 8661370397 17322740794 25984111191 51968222382 77952333573 155904667146 233857000719 467714001438 701571002157 1403142004314