Search a number
-
+
1407791838114 = 232271972875709
BaseRepresentation
bin10100011111000110111…
…011101011001110100010
311222120202102201011221200
4110133012323223032202
5141031124202304424
62554421452502030
7203465252120154
oct24370673531642
94876672634850
101407791838114
114a304a878622
121a8a0a77a916
13a29a5c9597c
144c1cd3a8ad4
152694723c8c9
hex147c6eeb3a2

1407791838114 has 24 divisors (see below), whose sum is σ = 3050328862620. Its totient is φ = 469246528608.

The previous prime is 1407791838107. The next prime is 1407791838137. The reversal of 1407791838114 is 4118381977041.

1407791838114 is a `hidden beast` number, since 1 + 407 + 7 + 91 + 8 + 38 + 114 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1304317032489 + 103474805625 = 1142067^2 + 321675^2 .

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 11 ways as a sum of consecutive naturals, for example, 948309 + ... + 1927400.

Almost surely, 21407791838114 is an apocalyptic number.

1407791838114 is an abundant number, since it is smaller than the sum of its proper divisors (1642537024506).

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

1407791838114 is a wasteful number, since it uses less digits than its factorization.

1407791838114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902914 (or 2902911 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 1407791838114 in words is "one trillion, four hundred seven billion, seven hundred ninety-one million, eight hundred thirty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27197 54394 81591 163182 244773 489546 2875709 5751418 8627127 17254254 25881381 51762762 78210657673 156421315346 234631973019 469263946038 703895919057 1407791838114