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114210010332000 = 25325311377794841
BaseRepresentation
bin11001111101111110010111…
…000110000111101101100000
3112222101100222222201201111200
4121331332113012013231200
5104432204100121111000
61042523204320041200
733025254345063252
oct3175762706075540
9488340888651450
10114210010332000
1133433214424610
12109867b9463200
134b95c5b28321b
14202bb18a13cd2
15d30ce7891500
hex67df97187b60

114210010332000 has 576 divisors, whose sum is σ = 454130488139328. Its totient is φ = 26938967040000.

The previous prime is 114210010331983. The next prime is 114210010332029. The reversal of 114210010332000 is 233010012411.

114210010332000 is a `hidden beast` number, since 1 + 1 + 421 + 0 + 0 + 10 + 33 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10754580 + ... + 18549420.

It is an arithmetic number, because the mean of its divisors is an integer number (788420986353).

Almost surely, 2114210010332000 is an apocalyptic number.

114210010332000 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 114210010332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227065244069664).

114210010332000 is an abundant number, since it is smaller than the sum of its proper divisors (339920477807328).

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

114210010332000 is a wasteful number, since it uses less digits than its factorization.

114210010332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794920 (or 7794899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 114210010332000 its reverse (233010012411), we get a palindrome (114443020344411).

The spelling of 114210010332000 in words is "one hundred fourteen trillion, two hundred ten billion, ten million, three hundred thirty-two thousand".