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1110055444224 = 28317195143579
BaseRepresentation
bin10000001001110100011…
…101011101111100000000
310221010020200011021000220
4100021310131131330000
5121141343143203344
62205541420343040
7143125131410316
oct20116435357400
93833220137026
101110055444224
113988543a5081
1215b1773a4a80
13808a7108b7c
143ba26b400b6
151dd1d661c19
hex1027475df00

1110055444224 has 144 divisors (see below), whose sum is σ = 3129827742720. Its totient is φ = 348066201600.

The previous prime is 1110055444129. The next prime is 1110055444259. The reversal of 1110055444224 is 4224445500111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25450467 + ... + 25494045.

It is an arithmetic number, because the mean of its divisors is an integer number (21734914880).

Almost surely, 21110055444224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110055444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564913871360).

1110055444224 is an abundant number, since it is smaller than the sum of its proper divisors (2019772298496).

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

1110055444224 is a wasteful number, since it uses less digits than its factorization.

1110055444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45566 (or 45552 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 1110055444224 in words is "one trillion, one hundred ten billion, fifty-five million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 1951 2176 3264 3902 4352 5853 6528 7804 11706 13056 15608 23412 31216 33167 43579 46824 62432 66334 87158 93648 99501 124864 130737 132668 174316 187296 199002 249728 261474 265336 348632 374592 398004 499456 522948 530672 697264 740843 749184 796008 1045896 1061344 1394528 1481686 1498368 1592016 2091792 2122688 2222529 2789056 2963372 3184032 4183584 4245376 4445058 5578112 5926744 6368064 8367168 8490752 8890116 11156224 11853488 12736128 16734336 17780232 23706976 25472256 33468672 35560464 47413952 71120928 85022629 94827904 142241856 170045258 189655808 255067887 284483712 340090516 510135774 568967424 680181032 1020271548 1360362064 1445384693 2040543096 2720724128 2890769386 4081086192 4336154079 5441448256 5781538772 8162172384 8672308158 10882896512 11563077544 16324344768 17344616316 21765793024 23126155088 32648689536 34689232632 46252310176 65297379072 69378465264 92504620352 138756930528 185009240704 277513861056 370018481408 555027722112 1110055444224