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44122221414 = 23297178314173
BaseRepresentation
bin101001000101111000…
…111010101101100110
311012212221202002012200
4221011320322231212
51210330242041124
632134112155330
73121250460015
oct510570725546
9135787662180
1044122221414
1117791930aa7
128674538b46
1342120c802b
1421c7c58a7c
151233850bc9
hexa45e3ab66

44122221414 has 48 divisors (see below), whose sum is σ = 96644681952. Its totient is φ = 14546594304.

The previous prime is 44122221397. The next prime is 44122221431. The reversal of 44122221414 is 41412222144.

44122221414 is a `hidden beast` number, since 4 + 4 + 1 + 22 + 221 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (44122221397) and next prime (44122221431).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3106032 + ... + 3120204.

It is an arithmetic number, because the mean of its divisors is an integer number (2013430874).

Almost surely, 244122221414 is an apocalyptic number.

44122221414 is an abundant number, since it is smaller than the sum of its proper divisors (52522460538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44122221414 is a wasteful number, since it uses less digits than its factorization.

44122221414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16061 (or 16058 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 44122221414 its reverse (41412222144), we get a palindrome (85534443558).

The spelling of 44122221414 in words is "forty-four billion, one hundred twenty-two million, two hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1746 1783 3566 5349 10698 14173 16047 28346 32094 42519 85038 127557 172951 255114 345902 518853 1037706 1374781 1556559 2749562 3113118 4124343 8248686 12373029 24746058 25270459 50540918 75811377 151622754 227434131 454868262 2451234523 4902469046 7353703569 14707407138 22061110707 44122221414