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114227688960 = 2932571131267
BaseRepresentation
bin110101001100010000…
…0000011011000000000
3101220211201112211100200
41222120200003120000
53332414242021320
6124250411445200
711152445223150
oct1523040033000
9356751484320
10114227688960
1144497609430
121a17a756800
13aa0534b9c8
145758886760
152e88346290
hex1a98803600

114227688960 has 1440 divisors, whose sum is σ = 517248965376. Its totient is φ = 22627123200.

The previous prime is 114227688959. The next prime is 114227688961. The reversal of 114227688960 is 69886722411.

It is a happy number.

114227688960 is a `hidden beast` number, since 11 + 422 + 76 + 8 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (114227688959) and next prime (114227688961).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 114227688897 and 114227688906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114227688961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1704890847 + ... + 1704890913.

Almost surely, 2114227688960 is an apocalyptic number.

114227688960 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 114227688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258624482688).

114227688960 is an abundant number, since it is smaller than the sum of its proper divisors (403021276416).

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

114227688960 is a wasteful number, since it uses less digits than its factorization.

114227688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 114227688960 in words is "one hundred fourteen billion, two hundred twenty-seven million, six hundred eighty-eight thousand, nine hundred sixty".