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8832114140 = 22529108714009
BaseRepresentation
bin10000011100110111…
…10101110111011100
3211210112011212220112
420032123311313130
5121042010123030
64020222505152
7431603505623
oct101633656734
924715155815
108832114140
113822553093
121865a351b8
13aa9a5b355
145dadd26ba
1536a5b7a95
hex20e6f5ddc

8832114140 has 48 divisors (see below), whose sum is σ = 19206028800. Its totient is φ = 3407642112.

The previous prime is 8832114113. The next prime is 8832114157. The reversal of 8832114140 is 414112388.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8832114097 and 8832114106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623456 + ... + 637464.

It is an arithmetic number, because the mean of its divisors is an integer number (400125600).

Almost surely, 28832114140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8832114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603014400).

8832114140 is an abundant number, since it is smaller than the sum of its proper divisors (10373914660).

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

8832114140 is a wasteful number, since it uses less digits than its factorization.

8832114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15134 (or 15132 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 8832114140 is about 93979.3282589315. The cubic root of 8832114140 is about 2067.0686054283.

The spelling of 8832114140 in words is "eight billion, eight hundred thirty-two million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1087 2174 4348 5435 10870 14009 21740 28018 31523 56036 63046 70045 126092 140090 157615 280180 315230 406261 630460 812522 1625044 2031305 4062610 8125220 15227783 30455566 60911132 76138915 152277830 304555660 441605707 883211414 1766422828 2208028535 4416057070 8832114140