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44113311450304 = 2631101599367519
BaseRepresentation
bin10100000011110111011100…
…10000100100010011000000
312210012012011112002210110021
422001323232100210103000
521240223030212402204
6233453213035543224
712202036660352305
oct1201735620442300
9183165145083407
1044113311450304
1113068394311438
124b455568bab14
131b7cb37951135
14ac714a7190ac
1551774d885154
hex281eee4244c0

44113311450304 has 112 divisors (see below), whose sum is σ = 91408398336000. Its totient is φ = 21098473344000.

The previous prime is 44113311450277. The next prime is 44113311450317. The reversal of 44113311450304 is 40305411331144.

It is a super-2 number, since 2×441133114503042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44113311450304.

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, 119846257 + ... + 120213775.

Almost surely, 244113311450304 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 44113311450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45704199168000).

44113311450304 is an abundant number, since it is smaller than the sum of its proper divisors (47295086885696).

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

44113311450304 is a wasteful number, since it uses less digits than its factorization.

44113311450304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368262 (or 368252 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 44113311450304 its reverse (40305411331144), we get a palindrome (84418722781448).

The spelling of 44113311450304 in words is "forty-four trillion, one hundred thirteen billion, three hundred eleven million, four hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 101 124 202 248 404 496 599 808 992 1198 1616 1984 2396 3131 3232 4792 6262 6464 9584 12524 18569 19168 25048 37138 38336 50096 60499 74276 100192 120998 148552 200384 241996 297104 367519 483992 594208 735038 967984 1188416 1470076 1875469 1935968 2940152 3750938 3871936 5880304 7501876 11393089 11760608 15003752 22786178 23521216 30007504 37119419 45572356 60015008 74238838 91144712 120030016 148477676 182289424 220143881 296955352 364578848 440287762 593910704 729157696 880575524 1150701989 1187821408 1761151048 2301403978 2375642816 3522302096 4602807956 6824460311 7044604192 9205615912 13648920622 14089208384 18411231824 22234531981 27297841244 36822463648 44469063962 54595682488 73644927296 88938127924 109191364976 177876255848 218382729952 355752511696 436765459904 689270491411 711505023392 1378540982822 1423010046784 2757081965644 5514163931288 11028327862576 22056655725152 44113311450304