Search a number
-
+
299932006140 = 2233513192248703
BaseRepresentation
bin1000101110101010101…
…01110011011011111100
31001200011202222120201000
410113111111303123330
514403230043144030
6345441543450300
730445410662454
oct4272525633374
91050152876630
10299932006140
11106222886528
124a166756990
132238ba13260
14107340c2d64
157c0672c860
hex45d55736fc

299932006140 has 192 divisors, whose sum is σ = 1057790361600. Its totient is φ = 69943627008.

The previous prime is 299932006117. The next prime is 299932006181. The reversal of 299932006140 is 41600239992.

It is a happy number.

299932006140 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 3 + 20 + 0 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 990972 + ... + 1257731.

It is an arithmetic number, because the mean of its divisors is an integer number (5509324800).

Almost surely, 2299932006140 is an apocalyptic number.

299932006140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

299932006140 is an abundant number, since it is smaller than the sum of its proper divisors (757858355460).

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

299932006140 is a wasteful number, since it uses less digits than its factorization.

299932006140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248753 (or 2248745 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 299932006140 in words is "two hundred ninety-nine billion, nine hundred thirty-two million, six thousand, one hundred forty".