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44311431213 = 3373759211509
BaseRepresentation
bin101001010001001010…
…101100100000101101
311020101010202221021000
4221101022230200231
51211222211244323
632204551430513
73126035644050
oct512112544055
9136333687230
1044311431213
1117879714135
128707985439
134242374baa
14220502ca97
151245277e43
hexa512ac82d

44311431213 has 128 divisors (see below), whose sum is σ = 78884352000. Its totient is φ = 24056766720.

The previous prime is 44311431179. The next prime is 44311431233. The reversal of 44311431213 is 31213411344.

44311431213 is a `hidden beast` number, since 4 + 4 + 3 + 11 + 431 + 213 = 666.

It is not a de Polignac number, because 44311431213 - 212 = 44311427117 is a prime.

It is a super-2 number, since 2×443114312132 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44311431233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87055603 + ... + 87056111.

It is an arithmetic number, because the mean of its divisors is an integer number (616284000).

Almost surely, 244311431213 is an apocalyptic number.

It is an amenable number.

44311431213 is a deficient number, since it is larger than the sum of its proper divisors (34572920787).

44311431213 is a wasteful number, since it uses less digits than its factorization.

44311431213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 44311431213 its reverse (31213411344), we get a palindrome (75524842557).

The spelling of 44311431213 in words is "forty-four billion, three hundred eleven million, four hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 37 59 63 111 177 189 211 259 333 413 509 531 633 777 999 1239 1477 1527 1593 1899 2183 2331 3563 3717 4431 4581 5697 6549 6993 7807 10689 11151 12449 13293 13743 15281 18833 19647 23421 30031 32067 37347 39879 45843 54649 56499 58941 70263 87143 90093 96201 107399 112041 131831 137529 163947 169497 210217 210789 261429 270279 322197 336123 395493 412587 460613 491841 508491 630651 751793 784287 810837 966591 1111147 1186479 1381839 1475523 1891953 2255379 2352861 2899773 3224291 3333441 3559437 3973763 4145517 5675859 6336541 6766137 7778029 9672873 10000323 11921289 12436551 19009623 20298411 23334087 27816341 29018619 30000969 35763867 44355787 57028869 70002261 83449023 87055857 107291601 133067361 171086607 210006783 234452017 250347069 399202083 703356051 751041207 1197606249 1641164119 2110068153 4923492357 6330204459 14770477071 44311431213