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138761717866144 = 254336303683317
BaseRepresentation
bin11111100011001111111010…
…111001101101111010100000
3200012022111020200221112110021
4133203033322321231322200
5121141432444233204034
61211042130403243224
741141126503565242
oct3743177271557240
9605274220845407
10138761717866144
11402395722523aa
1213690b4a679514
135c57234c36aa9
14263a16280c092
15110979da4b6b4
hex7e33fae6dea0

138761717866144 has 12 divisors (see below), whose sum is σ = 273187132049034. Its totient is φ = 69380858933056.

The previous prime is 138761717866111. The next prime is 138761717866147. The reversal of 138761717866144 is 441668717167831.

138761717866144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 86043953376144 + 52717764490000 = 9275988^2 + 7260700^2 .

It is not an unprimeable number, because it can be changed into a prime (138761717866147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2168151841627 + ... + 2168151841690.

Almost surely, 2138761717866144 is an apocalyptic number.

It is an amenable number.

138761717866144 is a deficient number, since it is larger than the sum of its proper divisors (134425414182890).

138761717866144 is an equidigital number, since it uses as much as digits as its factorization.

138761717866144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336303683327 (or 4336303683319 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 70.

The spelling of 138761717866144 in words is "one hundred thirty-eight trillion, seven hundred sixty-one billion, seven hundred seventeen million, eight hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 4336303683317 8672607366634 17345214733268 34690429466536 69380858933072 138761717866144