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44464072107 = 37213112320719
BaseRepresentation
bin101001011010010000…
…111110010110101011
311020202202222220012110
4221122100332112223
51212030300301412
632232043213403
73132601243200
oct513220762653
9136682886173
1044464072107
111794789a534
12874ab17263
134267b89b50
14221b403ca7
151253879d3c
hexa5a43e5ab

44464072107 has 48 divisors (see below), whose sum is σ = 74339381760. Its totient is φ = 23431560768.

The previous prime is 44464072069. The next prime is 44464072141. The reversal of 44464072107 is 70127046444.

It is a happy number.

It is not a de Polignac number, because 44464072107 - 210 = 44464071083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (44464073107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2135694 + ... + 2156412.

It is an arithmetic number, because the mean of its divisors is an integer number (1548737120).

Almost surely, 244464072107 is an apocalyptic number.

44464072107 is a deficient number, since it is larger than the sum of its proper divisors (29875309653).

44464072107 is a wasteful number, since it uses less digits than its factorization.

44464072107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21872 (or 21865 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 44464072107 in words is "forty-four billion, four hundred sixty-four million, seventy-two thousand, one hundred seven".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1123 1911 3369 7861 14599 20719 23583 43797 55027 62157 102193 145033 165081 269347 306579 435099 715351 808041 1015231 1885429 2146053 3045693 5656287 13198003 23267437 39594009 69802311 162872059 302476681 488616177 907430043 1140104413 2117336767 3420313239 6352010301 14821357369 44464072107