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840959242272 = 2532540372
BaseRepresentation
bin11000011110011010001…
…00111011000000100000
32222101122220011211111200
430033031010323000200
5102234241031223042
61442155323041200
7114520516421352
oct14171504730040
92871586154450
10840959242272
112a4715628746
12116b97670200
13613c09986c6
142c9ba0b10d2
1516d1e108c4c
hexc3cd13b020

840959242272 has 54 divisors (see below), whose sum is σ = 2391522102333. Its totient is φ = 280314559872.

The previous prime is 840959242157. The next prime is 840959242273. The reversal of 840959242272 is 272242959048.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

840959242272 is a `hidden beast` number, since 8 + 4 + 0 + 9 + 592 + 42 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 602741060496 + 238218181776 = 776364^2 + 488076^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=648444.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (840959242273) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15535638 + ... + 15589674.

Almost surely, 2840959242272 is an apocalyptic number.

It is an amenable number.

840959242272 is an abundant number, since it is smaller than the sum of its proper divisors (1550562860061).

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

840959242272 is an frugal number, since it uses more digits than its factorization.

840959242272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108090 (or 54042 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 840959242272 in words is "eight hundred forty billion, nine hundred fifty-nine million, two hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 54037 108074 162111 216148 324222 432296 486333 648444 864592 972666 1296888 1729184 1945332 2593776 3890664 5187552 7781328 15562656 2919997369 5839994738 8759992107 11679989476 17519984214 23359978952 26279976321 35039968428 46719957904 52559952642 70079936856 93439915808 105119905284 140159873712 210239810568 280319747424 420479621136 840959242272