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44212490217 = 327898639137
BaseRepresentation
bin101001001011010001…
…010000111111101001
311020010020121012201200
4221023101100333221
51211021344141332
632151055034413
73123424652250
oct511321207751
9136106535650
1044212490217
1117828886315
12869a80ba09
134227a1241c
1421d5c35797
15123b73217c
hexa4b450fe9

44212490217 has 48 divisors (see below), whose sum is σ = 73899371520. Its totient is φ = 24948734976.

The previous prime is 44212490177. The next prime is 44212490239. The reversal of 44212490217 is 71209421244.

It is a happy number.

44212490217 is a `hidden beast` number, since 442 + 124 + 90 + 2 + 1 + 7 = 666.

44212490217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44212490217 - 27 = 44212490089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44212490717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4834273 + ... + 4843409.

It is an arithmetic number, because the mean of its divisors is an integer number (1539570240).

Almost surely, 244212490217 is an apocalyptic number.

It is an amenable number.

44212490217 is a deficient number, since it is larger than the sum of its proper divisors (29686881303).

44212490217 is a wasteful number, since it uses less digits than its factorization.

44212490217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10102 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 44212490217 in words is "forty-four billion, two hundred twelve million, four hundred ninety thousand, two hundred seventeen".

Divisors: 1 3 7 9 21 63 89 267 623 801 863 1869 2589 5607 6041 7767 9137 18123 27411 54369 63959 76807 82233 191877 230421 537649 575631 691263 813193 1612947 2439579 4838841 5692351 7318737 7885231 17077053 23655693 51231159 55196617 70967079 165589851 496769553 701785559 2105356677 4912498913 6316070031 14737496739 44212490217