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44168971221 = 344197713613
BaseRepresentation
bin101001001000101011…
…010000001111010101
311020000012201012220000
4221020223100033111
51210424224034341
632142502201513
73122356026564
oct511053201725
9136005635800
1044168971221
1117806261901
128688123299
13421b9b5c3b
1421d0147bdb
1512379d78b6
hexa48ad03d5

44168971221 has 40 divisors (see below), whose sum is σ = 67664248344. Its totient is φ = 28696273920.

The previous prime is 44168971201. The next prime is 44168971261. The reversal of 44168971221 is 12217986144.

44168971221 is a `hidden beast` number, since 4 + 416 + 8 + 9 + 7 + 1 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5948721 + 44163022500 = 2439^2 + 210150^2 .

It is not a de Polignac number, because 44168971221 - 227 = 44034753493 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44168971201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3237811 + ... + 3251423.

Almost surely, 244168971221 is an apocalyptic number.

44168971221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

44168971221 is a deficient number, since it is larger than the sum of its proper divisors (23495277123).

44168971221 is a wasteful number, since it uses less digits than its factorization.

44168971221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643 (or 14634 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 44168971221 in words is "forty-four billion, one hundred sixty-eight million, nine hundred seventy-one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 41 81 123 369 977 1107 2931 3321 8793 13613 26379 40057 40839 79137 120171 122517 360513 367551 558133 1081539 1102653 1674399 3244617 5023197 13299901 15069591 39899703 45208773 119699109 359097327 545295941 1077291981 1635887823 4907663469 14722990407 44168971221