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3888172214145 = 3251133121244997
BaseRepresentation
bin111000100101001001000…
…111111010011110000001
3111202201001101222120201200
4320211021013322132001
51002200434041323040
612134111320251413
7550624350340662
oct70451107723601
914681041876650
103888172214145
111269a67939a3a
12529679010b69
13222864a3054b
14d628d4cd369
156b2186bb630
hex389491fa781

3888172214145 has 48 divisors (see below), whose sum is σ = 6801346358352. Its totient is φ = 2054673653760.

The previous prime is 3888172214111. The next prime is 3888172214167. The reversal of 3888172214145 is 5414122718883.

3888172214145 is a `hidden beast` number, since 3 + 88 + 81 + 72 + 2 + 1 + 414 + 5 = 666.

3888172214145 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 8 ways, for example, as 726788645361 + 3161383568784 = 852519^2 + 1778028^2 .

It is not a de Polignac number, because 3888172214145 - 28 = 3888172213889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3888172214091 and 3888172214100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15747787 + ... + 15992783.

It is an arithmetic number, because the mean of its divisors is an integer number (141694715799).

Almost surely, 23888172214145 is an apocalyptic number.

It is an amenable number.

3888172214145 is a deficient number, since it is larger than the sum of its proper divisors (2913174144207).

3888172214145 is a wasteful number, since it uses less digits than its factorization.

3888172214145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248242 (or 248239 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 3888172214145 in words is "three trillion, eight hundred eighty-eight billion, one hundred seventy-two million, two hundred fourteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 113 339 565 1017 1695 3121 5085 9363 15605 28089 46815 140445 244997 352673 734991 1058019 1224985 1763365 2204973 3174057 3674955 5290095 11024865 15870285 27684661 83053983 138423305 249161949 415269915 764635637 1245809745 2293906911 3823178185 6881720733 11469534555 34408603665 86403826981 259211480943 432019134905 777634442829 1296057404715 3888172214145