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114868287360 = 27325174327281
BaseRepresentation
bin110101011111010101…
…1101111011110000000
3101222111100221121011100
41222332223233132000
53340222240143420
6124434134014400
711204354222031
oct1527653573600
9358440847140
10114868287360
11447961764a2
121a3191a7400
13aaa7c90608
1457b999aa88
152ec46d3190
hex1abeaef780

114868287360 has 384 divisors, whose sum is σ = 429770072160. Its totient is φ = 28158197760.

The previous prime is 114868287337. The next prime is 114868287389. The reversal of 114868287360 is 63782868411.

114868287360 is a `hidden beast` number, since 1 + 1 + 486 + 82 + 87 + 3 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114868287297 and 114868287306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4196920 + ... + 4224200.

Almost surely, 2114868287360 is an apocalyptic number.

114868287360 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 114868287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214885036080).

114868287360 is an abundant number, since it is smaller than the sum of its proper divisors (314901784800).

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

114868287360 is a wasteful number, since it uses less digits than its factorization.

114868287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27366 (or 27351 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 114868287360 in words is "one hundred fourteen billion, eight hundred sixty-eight million, two hundred eighty-seven thousand, three hundred sixty".