Search a number
-
+
116148452040 = 233351373072557
BaseRepresentation
bin110110000101011111…
…1001011101011001000
3102002210120210200222000
41230022333023223020
53400333000431130
6125205144231000
711251160360415
oct1541277135310
9362716720860
10116148452040
1145292856135
121a615a6b460
13ac502720ca
14589b9d710c
15304bca6260
hex1b0afcbac8

116148452040 has 256 divisors, whose sum is σ = 391410835200. Its totient is φ = 30634702848.

The previous prime is 116148452033. The next prime is 116148452053. The reversal of 116148452040 is 40254841611.

116148452040 is a `hidden beast` number, since 1 + 1 + 6 + 14 + 84 + 520 + 40 = 666.

It is a super-2 number, since 2×1161484520402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116148451986 and 116148452004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45422442 + ... + 45424998.

It is an arithmetic number, because the mean of its divisors is an integer number (1528948575).

Almost surely, 2116148452040 is an apocalyptic number.

116148452040 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 116148452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195705417600).

116148452040 is an abundant number, since it is smaller than the sum of its proper divisors (275262383160).

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

116148452040 is a wasteful number, since it uses less digits than its factorization.

116148452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 116148452040 in words is "one hundred sixteen billion, one hundred forty-eight million, four hundred fifty-two thousand, forty".