Search a number
-
+
14782000351 = 313753243161
BaseRepresentation
bin11011100010001001…
…10110110011011111
31102011011221102101111
431301010312303133
5220233143002401
610442445322451
71032211633636
oct156104666337
942134842344
1014782000351
1162a6065718
122a46566427
13151762bc91
14a032b851d
155b7b01e51
hex371136cdf

14782000351 has 16 divisors (see below), whose sum is σ = 15966989568. Its totient is φ = 13655865600.

The previous prime is 14782000333. The next prime is 14782000367. The reversal of 14782000351 is 15300028741.

It is a 8-Lehmer number, since φ(14782000351) divides (14782000351-1)8.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14782000351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14782000301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60790 + ... + 182371.

It is an arithmetic number, because the mean of its divisors is an integer number (997936848).

Almost surely, 214782000351 is an apocalyptic number.

14782000351 is the 60791-st decagonal number.

14782000351 is a deficient number, since it is larger than the sum of its proper divisors (1184989217).

14782000351 is a wasteful number, since it uses less digits than its factorization.

14782000351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243282.

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 14782000351 in words is "fourteen billion, seven hundred eighty-two million, three hundred fifty-one", and thus it is an aban number.

Divisors: 1 31 37 53 1147 1643 1961 60791 243161 7537991 8996957 12887533 278905667 399513523 476838721 14782000351