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32444031101013 = 3371274792821849
BaseRepresentation
bin1110110000001111101101…
…11100101110100001010101
311020212121201022101122222000
413120013312330232201111
513223030333430213023
6153000325423425513
76556001223105210
oct730076674564125
9136777638348860
1032444031101013
11a379488819114
12377ba54455299
1315145c7584a7c
14802429ad8777
153b3e25002243
hex1d81f6f2e855

32444031101013 has 64 divisors (see below), whose sum is σ = 55479828480000. Its totient is φ = 18355060225152.

The previous prime is 32444031101011. The next prime is 32444031101057. The reversal of 32444031101013 is 31010113044423.

32444031101013 is a `hidden beast` number, since 3 + 2 + 4 + 440 + 3 + 110 + 101 + 3 = 666.

It is not a de Polignac number, because 32444031101013 - 21 = 32444031101011 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32444031101011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10086513 + ... + 12908361.

It is an arithmetic number, because the mean of its divisors is an integer number (866872320000).

Almost surely, 232444031101013 is an apocalyptic number.

It is an amenable number.

32444031101013 is a deficient number, since it is larger than the sum of its proper divisors (23035797378987).

32444031101013 is a wasteful number, since it uses less digits than its factorization.

32444031101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822471 (or 2822465 counting only the distinct ones).

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

Adding to 32444031101013 its reverse (31010113044423), we get a palindrome (63454144145436).

The spelling of 32444031101013 in words is "thirty-two trillion, four hundred forty-four billion, thirty-one million, one hundred one thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 127 189 381 479 889 1143 1437 2667 3353 3429 4311 8001 10059 12933 24003 30177 60833 90531 182499 425831 547497 1277493 1642491 2821849 3832479 8465547 11497437 19752943 25396641 59258829 76189923 177776487 358374823 533329461 1075124469 1351665671 2508623761 3225373407 4054997013 7525871283 9461659697 9676120221 12164991039 22577613849 28384979091 36494973117 67732841547 85154937273 171661540217 255464811819 514984620651 1201630781519 1544953861953 3604892344557 4634861585859 10814677033671 32444031101013