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44043142221 = 32132234130707
BaseRepresentation
bin101001000001001011…
…010000010001001101
311012200102221102221200
4221001023100101031
51210200021022341
632122205220113
73116300350311
oct510113202115
9135612842850
1044043142221
11177512296a1
128651b61639
1341cb8cab00
1421bb551b41
15122b92edb6
hexa412d044d

44043142221 has 72 divisors (see below), whose sum is σ = 73638766656. Its totient is φ = 25291918080.

The previous prime is 44043142219. The next prime is 44043142229. The reversal of 44043142221 is 12224134044.

44043142221 is a `hidden beast` number, since 4 + 4 + 0 + 431 + 4 + 2 + 221 = 666.

It is not a de Polignac number, because 44043142221 - 21 = 44043142219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44043142229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1418950 + ... + 1449656.

It is an arithmetic number, because the mean of its divisors is an integer number (1022760648).

Almost surely, 244043142221 is an apocalyptic number.

44043142221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

44043142221 is a deficient number, since it is larger than the sum of its proper divisors (29595624435).

44043142221 is a wasteful number, since it uses less digits than its factorization.

44043142221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30803 (or 30787 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44043142221 its reverse (12224134044), we get a palindrome (56267276265).

The spelling of 44043142221 in words is "forty-four billion, forty-three million, one hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 23 39 41 69 117 123 169 207 299 369 507 533 897 943 1521 1599 2691 2829 3887 4797 6929 8487 11661 12259 20787 30707 34983 36777 62361 92121 110331 159367 276363 399191 478101 706261 1197573 1258987 1434303 2118783 3592719 3776961 5189483 6356349 9181393 11330883 15568449 16366831 27544179 28956701 46705347 49100493 82632537 86870103 119358109 147301479 212768803 260610309 358074327 376437113 638306409 1074222981 1129311339 1914919227 3387934017 4893682469 14681047407 44043142221