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110440707010344 = 233229189149279637
BaseRepresentation
bin11001000111000111111011…
…000111000010111100101000
3112111001000202202112112110200
4121013013323013002330220
5103433430031443312334
61030515432124312200
732156035450351164
oct3107077307027450
9474030682475420
10110440707010344
113220a705a189a7
12104781953a2660
13498168b2b7269
141d3b504551ca4
15cb7c39bec799
hex6471fb1c2f28

110440707010344 has 96 divisors (see below), whose sum is σ = 309427137045000. Its totient is φ = 35543820566016.

The previous prime is 110440707010313. The next prime is 110440707010351. The reversal of 110440707010344 is 443010707044011.

110440707010344 is a `hidden beast` number, since 1 + 1 + 0 + 440 + 7 + 0 + 70 + 103 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64783793150244 + 45656913860100 = 8048838^2 + 6756990^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110440707010299 and 110440707010308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394803294 + ... + 395082930.

Almost surely, 2110440707010344 is an apocalyptic number.

It is an amenable number.

110440707010344 is an abundant number, since it is smaller than the sum of its proper divisors (198986430034656).

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

110440707010344 is a wasteful number, since it uses less digits than its factorization.

110440707010344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468827 (or 468820 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 110440707010344 in words is "one hundred ten trillion, four hundred forty billion, seven hundred seven million, ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 189149 279637 378298 559274 567447 756596 838911 1118548 1134894 1513192 1677822 1702341 2237096 2269788 2516733 3355644 3404682 4539576 5033466 5485321 6711288 6809364 8109473 10066932 10970642 13618728 16218946 16455963 20133864 21941284 24328419 32437892 32911926 43882568 48656838 49367889 64875784 65823852 72985257 97313676 98735778 131647704 145970514 194627352 197471556 291941028 394943112 583882056 52893058913 105786117826 158679176739 211572235652 317358353478 423144471304 476037530217 634716706956 952075060434 1269433413912 1533898708477 1904150120868 3067797416954 3808300241736 4601696125431 6135594833908 9203392250862 12271189667816 13805088376293 18406784501724 27610176752586 36813569003448 55220353505172 110440707010344