Search a number
-
+
1379148834960 = 2433513432101263
BaseRepresentation
bin10100000100011011101…
…011010010100010010000
311212211211020211212022000
4110010123223102202100
5140043444100204320
62533323333514000
7201432410450301
oct24043353224220
94784736755260
101379148834960
11491991621396
121a33561a2900
13a008caa38b0
144aa7327a7a8
1525d1c811c90
hex1411bad2890

1379148834960 has 960 divisors, whose sum is σ = 5309525168640. Its totient is φ = 327056486400.

The previous prime is 1379148834887. The next prime is 1379148834971. The reversal of 1379148834960 is 694388419731.

1379148834960 is a `hidden beast` number, since 1 + 3 + 7 + 91 + 488 + 3 + 4 + 9 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5243911789 + ... + 5243912051.

It is an arithmetic number, because the mean of its divisors is an integer number (5530755384).

Almost surely, 21379148834960 is an apocalyptic number.

1379148834960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379148834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654762584320).

1379148834960 is an abundant number, since it is smaller than the sum of its proper divisors (3930376333680).

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

1379148834960 is a wasteful number, since it uses less digits than its factorization.

1379148834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1379148834960 in words is "one trillion, three hundred seventy-nine billion, one hundred forty-eight million, eight hundred thirty-four thousand, nine hundred sixty".