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44122331454345 = 3352691214989163
BaseRepresentation
bin10100000100001000001111…
…11001001001101110001001
312210020001110010211110212000
422002010013321021232021
521240400013323014340
6233501304053541213
712202506335210214
oct1202040771115611
9183201403743760
1044122331454345
11130711a2925a31
124b47253644809
131b809445b6631
14ac776465a77b
15517aca6b3d30
hex282107e49b89

44122331454345 has 32 divisors (see below), whose sum is σ = 78731297827200. Its totient is φ = 23444430869952.

The previous prime is 44122331454287. The next prime is 44122331454353. The reversal of 44122331454345 is 54345413322144.

It is a happy number.

44122331454345 is a `hidden beast` number, since 4 + 4 + 1 + 22 + 33 + 14 + 543 + 45 = 666.

It is not a de Polignac number, because 44122331454345 - 26 = 44122331454281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 44122331454345.

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 31 ways as a sum of consecutive naturals, for example, 607458267 + ... + 607530896.

It is an arithmetic number, because the mean of its divisors is an integer number (2460353057100).

Almost surely, 244122331454345 is an apocalyptic number.

44122331454345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44122331454345 is a deficient number, since it is larger than the sum of its proper divisors (34608966372855).

44122331454345 is a wasteful number, since it uses less digits than its factorization.

44122331454345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214989446 (or 1214989440 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 44122331454345 its reverse (54345413322144), we get a palindrome (98467744776489).

The spelling of 44122331454345 in words is "forty-four trillion, one hundred twenty-two billion, three hundred thirty-one million, four hundred fifty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 269 807 1345 2421 4035 7263 12105 36315 1214989163 3644967489 6074945815 10934902467 18224837445 32804707401 54674512335 164023537005 326832084847 980496254541 1634160424235 2941488763623 4902481272705 8824466290869 14707443818115 44122331454345