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44104016076345 = 325980089246141
BaseRepresentation
bin10100000011100110001000…
…01101100001111000111001
312210011022011201012212112200
422001303010031201320321
521240100011103420340
6233445034423500413
712201260430106551
oct1201630415417071
9183138151185480
1044104016076345
11130644543163a5
124b437a18b7709
131b7bcb5c32864
14ac6907db6161
155173a77b0330
hex281cc4361e39

44104016076345 has 12 divisors (see below), whose sum is σ = 76446961199076. Its totient is φ = 23522141907360.

The previous prime is 44104016076283. The next prime is 44104016076347. The reversal of 44104016076345 is 54367061040144.

44104016076345 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 4 + 0 + 1 + 6 + 0 + 7 + 634 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33505065182736 + 10598950893609 = 5788356^2 + 3255603^2 .

It is not a de Polignac number, because 44104016076345 - 210 = 44104016075321 is a prime.

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: 980089246141 = 44104016076345 / (4 + 4 + 1 + 0 + 4 + 0 + 1 + 6 + 0 + 7 + 6 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 44104016076345.

It is not an unprimeable number, because it can be changed into a prime (44104016076347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490044623026 + ... + 490044623115.

It is an arithmetic number, because the mean of its divisors is an integer number (6370580099923).

Almost surely, 244104016076345 is an apocalyptic number.

44104016076345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44104016076345 is a deficient number, since it is larger than the sum of its proper divisors (32342945122731).

44104016076345 is a wasteful number, since it uses less digits than its factorization.

44104016076345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980089246152 (or 980089246149 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 44104016076345 in words is "forty-four trillion, one hundred four billion, sixteen million, seventy-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 980089246141 2940267738423 4900446230705 8820803215269 14701338692115 44104016076345