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6142147203140 = 2251323623643089
BaseRepresentation
bin101100101100001010010…
…0000001001000001000100
3210202011221210120122121122
41121120110200021001010
51301113104141000030
621021355150533112
71202520063543014
oct131302440110104
923664853518548
106142147203140
111a58962a75043
12832480807198
13357281a28ca0
141733d2673c44
15a9b884478e5
hex59614809044

6142147203140 has 24 divisors (see below), whose sum is σ = 13890702136920. Its totient is φ = 2267869736448.

The previous prime is 6142147203089. The next prime is 6142147203149. The reversal of 6142147203140 is 413027412416.

It can be written as a sum of positive squares in 4 ways, for example, as 60981339136 + 6081165864004 = 246944^2 + 2466002^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6142147203140.

It is not an unprimeable number, because it can be changed into a prime (6142147203149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11811821285 + ... + 11811821804.

It is an arithmetic number, because the mean of its divisors is an integer number (578779255705).

Almost surely, 26142147203140 is an apocalyptic number.

It is an amenable number.

6142147203140 is an abundant number, since it is smaller than the sum of its proper divisors (7748554933780).

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

6142147203140 is a wasteful number, since it uses less digits than its factorization.

6142147203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23623643111 (or 23623643109 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 6142147203140 in words is "six trillion, one hundred forty-two billion, one hundred forty-seven million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 23623643089 47247286178 94494572356 118118215445 236236430890 307107360157 472472861780 614214720314 1228429440628 1535536800785 3071073601570 6142147203140