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444243124040 = 235371132656321
BaseRepresentation
bin1100111011011101111…
…01000001111101001000
31120110200001210221102112
412131232331001331020
524234302214432130
6540025451521452
744044521151562
oct6355675017510
91513601727375
10444243124040
11161447731321
1272120159288
1332b797b8091
14177040d0332
15b850b7c495
hex676ef41f48

444243124040 has 64 divisors (see below), whose sum is σ = 1035646821360. Its totient is φ = 171364515840.

The previous prime is 444243123983. The next prime is 444243124069. The reversal of 444243124040 is 40421342444.

It can be written as a sum of positive squares in 8 ways, for example, as 170276721316 + 273966402724 = 412646^2 + 523418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444243123988 and 444243124006.

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, 1160921 + ... + 1495400.

Almost surely, 2444243124040 is an apocalyptic number.

444243124040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444243124040 is an abundant number, since it is smaller than the sum of its proper divisors (591403697320).

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

444243124040 is a wasteful number, since it uses less digits than its factorization.

444243124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656482 (or 2656478 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 444243124040 its reverse (40421342444), we get a palindrome (484664466484).

The spelling of 444243124040 in words is "four hundred forty-four billion, two hundred forty-three million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 113 148 185 226 296 370 452 565 740 904 1130 1480 2260 4181 4520 8362 16724 20905 33448 41810 83620 167240 2656321 5312642 10625284 13281605 21250568 26563210 53126420 98283877 106252840 196567754 300164273 393135508 491419385 600328546 786271016 982838770 1200657092 1500821365 1965677540 2401314184 3001642730 3931355080 6003285460 11106078101 12006570920 22212156202 44424312404 55530390505 88848624808 111060781010 222121562020 444243124040