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444005101341125 = 5366120231265619
BaseRepresentation
bin110010011110100011111111…
…0010110000000100111000101
32011020002110202220221210211122
41210331013332112000213011
5431144034421420404000
64212153043324443325
7162344211215466032
oct14475077626004705
92136073686853748
10444005101341125
11119523562577435
124196b1b60a9545
131609966976288c
147b8dd66784389
15364e8d1ac9085
hex193d1fe5809c5

444005101341125 has 32 divisors (see below), whose sum is σ = 554986190004480. Its totient is φ = 354647841240000.

The previous prime is 444005101341119. The next prime is 444005101341271. The reversal of 444005101341125 is 521143101500444.

It is not a de Polignac number, because 444005101341125 - 212 = 444005101337029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671453566 + ... + 1671719184.

It is an arithmetic number, because the mean of its divisors is an integer number (17343318437640).

Almost surely, 2444005101341125 is an apocalyptic number.

It is an amenable number.

444005101341125 is a deficient number, since it is larger than the sum of its proper divisors (110981088663355).

444005101341125 is a wasteful number, since it uses less digits than its factorization.

444005101341125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286526 (or 286516 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 444005101341125 its reverse (521143101500444), we get a palindrome (965148202841569).

The spelling of 444005101341125 in words is "four hundred forty-four trillion, five billion, one hundred one million, three hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 661 3305 16525 20231 82625 101155 265619 505775 1328095 2528875 6640475 13372691 33202375 66863455 175574159 334317275 877870795 1671586375 4389353975 5373737989 21946769875 26868689945 134343449725 671717248625 3552040810729 17760204053645 88801020268225 444005101341125