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440625323526044 = 225379190811378813
BaseRepresentation
bin110010000101111110001001…
…1111000110100011110011100
32010210010100222101201121001112
41210023330103320310132130
5430223201130310313134
64201044251300401152
7161545062164201156
oct14413742370643634
92123110871647045
10440625323526044
11118440172063188
12415041813a61b8
1315bb2a36023347
147ab45452c9ad6
1535e1a20e951ce
hex190bf13e3479c

440625323526044 has 48 divisors (see below), whose sum is σ = 795630389339520. Its totient is φ = 213408329771520.

The previous prime is 440625323526007. The next prime is 440625323526071.

440625323526044 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4406253235260443 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 440625323525983 and 440625323526001.

It is a congruent number.

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, 318879182 + ... + 320257994.

It is an arithmetic number, because the mean of its divisors is an integer number (16575633111240).

Almost surely, 2440625323526044 is an apocalyptic number.

It is an amenable number.

440625323526044 is a deficient number, since it is larger than the sum of its proper divisors (355005065813476).

440625323526044 is a wasteful number, since it uses less digits than its factorization.

440625323526044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398030 (or 1398028 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 50.

The spelling of 440625323526044 in words is "four hundred forty trillion, six hundred twenty-five billion, three hundred twenty-three million, five hundred twenty-six thousand, forty-four".

Divisors: 1 2 4 53 79 106 158 212 316 4187 8374 16748 19081 38162 76324 1011293 1378813 1507399 2022586 2757626 3014798 4045172 5515252 6029596 73077089 79892147 108926227 146154178 159784294 217852454 292308356 319568588 435704908 5773090031 11546180062 23092360124 26309130853 52618261706 105236523412 1394383935209 2078421337387 2788767870418 4156842674774 5577535740836 8313685349548 110156330881511 220312661763022 440625323526044