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1374123336345 = 32530536074141
BaseRepresentation
bin10011111111110000001…
…000100010001010011001
311212100212000111002012200
4103333300020202022121
5140003201033230340
62531132532000413
7201164025432654
oct23776010421231
94770760432180
101374123336345
1148a842888951
121a2393160109
139c76b887b86
144a717a5c89b
1525b26520330
hex13ff0222299

1374123336345 has 12 divisors (see below), whose sum is σ = 2381813783076. Its totient is φ = 732865779360.

The previous prime is 1374123336277. The next prime is 1374123336389. The reversal of 1374123336345 is 5436333214731.

It is a happy number.

1374123336345 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 1 + 2 + 3 + 3 + 3 + 634 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 466346946816 + 907776389529 = 682896^2 + 952773^2 .

It is not a de Polignac number, because 1374123336345 - 228 = 1373854900889 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 30536074141 = 1374123336345 / (1 + 3 + 7 + 4 + 1 + 2 + 3 + 3 + 3 + 6 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 1374123336345.

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 11 ways as a sum of consecutive naturals, for example, 15268037026 + ... + 15268037115.

It is an arithmetic number, because the mean of its divisors is an integer number (198484481923).

Almost surely, 21374123336345 is an apocalyptic number.

1374123336345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1374123336345 is a deficient number, since it is larger than the sum of its proper divisors (1007690446731).

1374123336345 is a wasteful number, since it uses less digits than its factorization.

1374123336345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30536074152 (or 30536074149 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

The spelling of 1374123336345 in words is "one trillion, three hundred seventy-four billion, one hundred twenty-three million, three hundred thirty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 30536074141 91608222423 152680370705 274824667269 458041112115 1374123336345