Search a number
-
+
114210452000000 = 2856193239619
BaseRepresentation
bin11001111101111110110001…
…011010111100110100000000
3112222101102010202210210002202
4121331332301122330310000
5104432211001203000000
61042523320214332332
733025301320151126
oct3175766132746400
9488342122723082
10114210452000000
113343342076a294
121098690135a0a8
134b95ccb923635
14202bb5b543916
15d30d21535dd5
hex67dfb16bcd00

114210452000000 has 504 divisors, whose sum is σ = 288104499715200. Its totient is φ = 45184204800000.

The previous prime is 114210451999981. The next prime is 114210452000039. The reversal of 114210452000000 is 254012411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 184507999691 + ... + 184508000309.

Almost surely, 2114210452000000 is an apocalyptic number.

114210452000000 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 114210452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144052249857600).

114210452000000 is an abundant number, since it is smaller than the sum of its proper divisors (173894047715200).

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

114210452000000 is an frugal number, since it uses more digits than its factorization.

114210452000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 114210452000000 in words is "one hundred fourteen trillion, two hundred ten billion, four hundred fifty-two million", and thus it is an aban number.