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444305400140350 = 25271269444000401
BaseRepresentation
bin110010100000101111110100…
…1100011000001001000111110
32011021011011220021010102001201
41211001133221203001020332
5431213444424413442400
64212543025534130114
7162405002002250230
oct14501375143011076
92137134807112051
10444305400140350
111196299533a7a41
12419b944365093a
13160bba8645b858
147ba06d3466250
15365760a60b06a
hex19417e98c123e

444305400140350 has 24 divisors (see below), whose sum is σ = 944466336299088. Its totient is φ = 152333280048000.

The previous prime is 444305400140249. The next prime is 444305400140353. The reversal of 444305400140350 is 53041004503444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444305400140353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634721999851 + ... + 634722000550.

It is an arithmetic number, because the mean of its divisors is an integer number (39352764012462).

Almost surely, 2444305400140350 is an apocalyptic number.

444305400140350 is an abundant number, since it is smaller than the sum of its proper divisors (500160936158738).

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

444305400140350 is a wasteful number, since it uses less digits than its factorization.

444305400140350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269444000420 (or 1269444000415 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 444305400140350 its reverse (53041004503444), we get a palindrome (497346404643794).

The spelling of 444305400140350 in words is "four hundred forty-four trillion, three hundred five billion, four hundred million, one hundred forty thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 1269444000401 2538888000802 6347220002005 8886108002807 12694440004010 17772216005614 31736100010025 44430540014035 63472200020050 88861080028070 222152700070175 444305400140350