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44734344343744 = 261172787404543
BaseRepresentation
bin10100010101111100001101…
…01101000011000011000000
312212101120011101001112121211
422022332012231003003000
521330411414122444434
6235050401334055504
712264643520014336
oct1212760655030300
9185346141045554
1044734344343744
11132878021840a0
1250259954aa594
131bc6579c6c403
14b09222115b56
15528999e9b464
hex28af86b430c0

44734344343744 has 56 divisors (see below), whose sum is σ = 96972894240768. Its totient is φ = 20305823197440.

The previous prime is 44734344343709. The next prime is 44734344343823.

It is a happy number.

44734344343744 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43190464 + ... + 44214079.

It is an arithmetic number, because the mean of its divisors is an integer number (1731658825728).

Almost surely, 244734344343744 is an apocalyptic number.

44734344343744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44734344343744 is an abundant number, since it is smaller than the sum of its proper divisors (52238549897024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44734344343744 is a wasteful number, since it uses less digits than its factorization.

44734344343744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87405293 (or 87405283 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 58.

The spelling of 44734344343744 in words is "forty-four trillion, seven hundred thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 727 1454 2908 5816 7997 11632 15994 23264 31988 46528 63976 127952 255904 511808 87404543 174809086 349618172 699236344 961449973 1398472688 1922899946 2796945376 3845799892 5593890752 7691599784 15383199568 30766399136 61532798272 63543102761 127086205522 254172411044 508344822088 698974130371 1016689644176 1397948260742 2033379288352 2795896521484 4066758576704 5591793042968 11183586085936 22367172171872 44734344343744