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44440744704444 = 223311113331044551
BaseRepresentation
bin10100001101011001010101…
…10011010011100110111100
312211100111022220112112012000
422012230222303103212330
521311104121121020234
6234303443554542300
712234511040163504
oct1206545263234674
9184314286475160
1044440744704444
11131842398aa5a0
124b98ab7597990
131ba498a1460aa
14ad8d2d03ca04
1552101465a899
hex286b2acd39bc

44440744704444 has 96 divisors (see below), whose sum is σ = 126803305198080. Its totient is φ = 13347716256000.

The previous prime is 44440744704437. The next prime is 44440744704449.

44440744704444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44440744704449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165388032 + ... + 165656519.

It is an arithmetic number, because the mean of its divisors is an integer number (1320867762480).

Almost surely, 244440744704444 is an apocalyptic number.

44440744704444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44440744704444 is an abundant number, since it is smaller than the sum of its proper divisors (82362560493636).

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

44440744704444 is a wasteful number, since it uses less digits than its factorization.

44440744704444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331044688 (or 331044680 counting only the distinct ones).

The product of its (nonzero) digits is 51380224, while the sum is 54.

The spelling of 44440744704444 in words is "forty-four trillion, four hundred forty billion, seven hundred forty-four million, seven hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 113 132 198 226 297 339 396 452 594 678 1017 1188 1243 1356 2034 2486 3051 3729 4068 4972 6102 7458 11187 12204 14916 22374 33561 44748 67122 134244 331044551 662089102 993133653 1324178204 1986267306 2979400959 3641490061 3972534612 5958801918 7282980122 8938202877 10924470183 11917603836 14565960244 17876405754 21848940366 32773410549 35752811508 37408034263 43697880732 65546821098 74816068526 98320231647 112224102789 131093642196 149632137052 196640463294 224448205578 336672308367 393280926588 411488376893 448896411156 673344616734 822976753786 1010016925101 1234465130679 1346689233468 1645953507572 2020033850202 2468930261358 3703395392037 4040067700404 4937860522716 7406790784074 11110186176111 14813581568148 22220372352222 44440744704444