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44132321330334 = 2343111283682739
BaseRepresentation
bin10100000100011010110110…
…10101100000010010011110
312210021000020100112202110000
422002031123111200102132
521241030443230032314
6233510035235355130
712203312030565126
oct1202153325402236
9183230210482400
1044132321330334
1113075459955696
124b49181152aa6
131b8187716a963
14ac8031305c86
15517eb2722209
hex28235b56049e

44132321330334 has 80 divisors (see below), whose sum is σ = 99284531448960. Its totient is φ = 14652021741840.

The previous prime is 44132321330303. The next prime is 44132321330341. The reversal of 44132321330334 is 43303312323144.

44132321330334 is a `hidden beast` number, since 4 + 4 + 1 + 323 + 21 + 3 + 303 + 3 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64298737 + ... + 64981475.

It is an arithmetic number, because the mean of its divisors is an integer number (1241056643112).

Almost surely, 244132321330334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44132321330334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49642265724480).

44132321330334 is an abundant number, since it is smaller than the sum of its proper divisors (55152210118626).

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

44132321330334 is a wasteful number, since it uses less digits than its factorization.

44132321330334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684347 (or 684338 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 44132321330334 its reverse (43303312323144), we get a palindrome (87435633653478).

The spelling of 44132321330334 in words is "forty-four trillion, one hundred thirty-two billion, three hundred twenty-one million, three hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 311 622 933 1283 1866 2566 2799 3849 5598 7698 8397 11547 16794 23094 25191 34641 50382 69282 103923 207846 399013 682739 798026 1197039 1365478 2048217 2394078 3591117 4096434 6144651 7182234 10773351 12289302 18433953 21546702 32320053 36867906 55301859 64640106 110603718 212331829 424663658 636995487 875954137 1273990974 1751908274 1910986461 2627862411 3821972922 5255724822 5732959383 7883587233 11465918766 15767174466 17198878149 23650761699 34397756298 47301523398 70952285097 141904570194 272421736607 544843473214 817265209821 1634530419642 2451795629463 4903591258926 7355386888389 14710773776778 22066160665167 44132321330334