Search a number
-
+
114378670080 = 223335101
BaseRepresentation
bin110101010000110000…
…0000000000000000000
3101221020020122110112000
41222201200000000000
53333221414420310
6124313403504000
711156260440303
oct1524140000000
9357206573460
10114378670080
1144564860814
121a201228000
13aa2a70234c
145770948b3a
152e9671b4c0
hex1aa1800000

114378670080 has 384 divisors, whose sum is σ = 410706223200. Its totient is φ = 30198988800.

The previous prime is 114378670079. The next prime is 114378670103. The reversal of 114378670080 is 80076873411.

It is a tau number, because it is divible by the number of its divisors (384).

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132462030 + ... + 1132462130.

Almost surely, 2114378670080 is an apocalyptic number.

114378670080 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 114378670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205353111600).

114378670080 is an abundant number, since it is smaller than the sum of its proper divisors (296327553120).

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

114378670080 is an frugal number, since it uses more digits than its factorization.

114378670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 114378670080 in words is "one hundred fourteen billion, three hundred seventy-eight million, six hundred seventy thousand, eighty".