Search a number
-
+
1114962331392 = 2832713192343283
BaseRepresentation
bin10000001110011000111…
…011110000011100000000
310221120220122022221210200
4100032120323300130000
5121231420324101032
62212112344125200
7143360543305650
oct20163073603400
93846818287720
101114962331392
1139a942195028
12160106766800
13811a98959c0
143bd706c4360
151e00932447c
hex10398ef0700

1114962331392 has 1728 divisors, whose sum is σ = 4462667489280. Its totient is φ = 259350626304.

The previous prime is 1114962331391. The next prime is 1114962331393. The reversal of 1114962331392 is 2931332694111.

1114962331392 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 9 + 623 + 3 + 13 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1114962331391) and next prime (1114962331393).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114962331391) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3939796083 + ... + 3939796365.

Almost surely, 21114962331392 is an apocalyptic number.

1114962331392 is a gapful number since it is divisible by the number (12) 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 1114962331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231333744640).

1114962331392 is an abundant number, since it is smaller than the sum of its proper divisors (3347705157888).

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

1114962331392 is a wasteful number, since it uses less digits than its factorization.

1114962331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

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

The spelling of 1114962331392 in words is "one trillion, one hundred fourteen billion, nine hundred sixty-two million, three hundred thirty-one thousand, three hundred ninety-two".