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444525525444 = 2237111337006787
BaseRepresentation
bin1100111011111111100…
…10010011100111000100
31120111101202012102022210
412131333302103213010
524240342013303234
6540113500423420
744054520423360
oct6357762234704
91514352172283
10444525525444
11161582085710
127219a847b70
1332bc31637c0
141772d8022a0
15b86a861be9
hex677fc939c4

444525525444 has 96 divisors (see below), whose sum is σ = 1392639446016. Its totient is φ = 106579543680.

The previous prime is 444525525439. The next prime is 444525525461.

444525525444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444525525393 and 444525525402.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18491382 + ... + 18515405.

It is an arithmetic number, because the mean of its divisors is an integer number (14506660896).

Almost surely, 2444525525444 is an apocalyptic number.

444525525444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444525525444 is an abundant number, since it is smaller than the sum of its proper divisors (948113920572).

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

444525525444 is a wasteful number, since it uses less digits than its factorization.

444525525444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37006825 (or 37006823 counting only the distinct ones).

The product of its digits is 10240000, while the sum is 48.

It can be divided in two parts, 444525 and 525444, that added together give a palindrome (969969).

The spelling of 444525525444 in words is "four hundred forty-four billion, five hundred twenty-five million, five hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 37006787 74013574 111020361 148027148 222040722 259047509 407074657 444081444 481088231 518095018 777142527 814149314 962176462 1036190036 1221223971 1443264693 1554285054 1628298628 1924352924 2442447942 2849522599 2886529386 3108570108 3367617617 4884895884 5291970541 5699045198 5773058772 6735235234 8548567797 10102852851 10583941082 11398090396 13470470468 15875911623 17097135594 20205705702 21167882164 31751823246 34194271188 37043793787 40411411404 63503646492 74087587574 111131381361 148175175148 222262762722 444525525444