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3200320242144 = 253211112223063
BaseRepresentation
bin101110100100100001111…
…100111000000111100000
3102022221120211010221120200
4232210201330320013200
5404413223440222034
610450112401305200
7450133630135464
oct56444174700740
912287524127520
103200320242144
111024280387603
124382b0935200
131a2a342b656c
14b0c7973a4a4
15583aad74a99
hex2e921f381e0

3200320242144 has 36 divisors (see below), whose sum is σ = 9100910689416. Its totient is φ = 1066773413952.

The previous prime is 3200320242137. The next prime is 3200320242157. The reversal of 3200320242144 is 4412420230023.

3200320242144 is a `hidden beast` number, since 3 + 200 + 32 + 0 + 2 + 421 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×32003202421443 (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5556111244 + ... + 5556111819.

It is an arithmetic number, because the mean of its divisors is an integer number (252803074706).

Almost surely, 23200320242144 is an apocalyptic number.

It is an amenable number.

3200320242144 is an abundant number, since it is smaller than the sum of its proper divisors (5900590447272).

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

3200320242144 is a wasteful number, since it uses less digits than its factorization.

3200320242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112223079 (or 11112223068 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3200320242144 its reverse (4412420230023), we get a palindrome (7612740472167).

The spelling of 3200320242144 in words is "three trillion, two hundred billion, three hundred twenty million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11112223063 22224446126 33336669189 44448892252 66673338378 88897784504 100010007567 133346676756 177795569008 200020015134 266693353512 355591138016 400040030268 533386707024 800080060536 1066773414048 1600160121072 3200320242144