Search a number
-
+
114051920762880 = 21136515278303
BaseRepresentation
bin11001111011101011001000…
…001110010001100000000000
3112221211020221110022112000000
4121323223020032101200000
5104422111313203403010
61042322421252000000
733010656626652342
oct3173531016214000
9487736843275000
10114051920762880
1133382169a41451
1210960039600000
134b84085a5cb99
1420241dcb21292
15d2bb439c27c0
hex67bac8391800

114051920762880 has 336 divisors, whose sum is σ = 410299006703040. Its totient is φ = 30413843546112.

The previous prime is 114051920762861. The next prime is 114051920762893. The reversal of 114051920762880 is 88267029150411.

114051920762880 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 1 + 9 + 2 + 0 + 7 + 628 + 8 + 0 = 666.

114051920762880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 174192 + ... + 15104111.

It is an arithmetic number, because the mean of its divisors is an integer number (1221127996140).

Almost surely, 2114051920762880 is an apocalyptic number.

114051920762880 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 114051920762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205149503351520).

114051920762880 is an abundant number, since it is smaller than the sum of its proper divisors (296247085940160).

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

114051920762880 is an frugal number, since it uses more digits than its factorization.

114051920762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278348 (or 15278313 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 114051920762880 in words is "one hundred fourteen trillion, fifty-one billion, nine hundred twenty million, seven hundred sixty-two thousand, eight hundred eighty".