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114285588571440 = 243551113372394649
BaseRepresentation
bin11001111111000100101111…
…111010001110010100110000
3112222122121002011112002100000
4121333010233322032110300
5104434423341133241230
61043022024040030000
733033601265365536
oct3177045772162460
9488577064462300
10114285588571440
1133462278369520
1210999390462300
134ba01142a6470
14203164840c156
15d32c6ca78b60
hex67f12fe8e530

114285588571440 has 1920 divisors, whose sum is σ = 482360126976000. Its totient is φ = 24773753733120.

The previous prime is 114285588571423. The next prime is 114285588571481. The reversal of 114285588571440 is 44175885582411.

114285588571440 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 5 + 58 + 8 + 571 + 4 + 4 + 0 = 666.

114285588571440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1142855885714402 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24582830236 + ... + 24582834884.

It is an arithmetic number, because the mean of its divisors is an integer number (251229232800).

Almost surely, 2114285588571440 is an apocalyptic number.

114285588571440 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 114285588571440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241180063488000).

114285588571440 is an abundant number, since it is smaller than the sum of its proper divisors (368074538404560).

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

114285588571440 is a wasteful number, since it uses less digits than its factorization.

114285588571440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4977 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 57344000, while the sum is 63.

The spelling of 114285588571440 in words is "one hundred fourteen trillion, two hundred eighty-five billion, five hundred eighty-eight million, five hundred seventy-one thousand, four hundred forty".