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440424400240 = 245114710648559
BaseRepresentation
bin1100110100010110101…
…01110000010101110000
31120002210221012200011201
412122023111300111300
524203442121301430
6534154515220544
743551061430206
oct6321325602560
91502727180151
10440424400240
1115a868101640
12714352a7754
13326bb5c63b6
1417460c87076
15b6ca7b38ca
hex668b570570

440424400240 has 80 divisors (see below), whose sum is σ = 1140844124160. Its totient is φ = 156746773760.

The previous prime is 440424400217. The next prime is 440424400279. The reversal of 440424400240 is 42004424044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 440424400199 and 440424400208.

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, 5282920 + ... + 5365639.

It is an arithmetic number, because the mean of its divisors is an integer number (14260551552).

Almost surely, 2440424400240 is an apocalyptic number.

440424400240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440424400240 is an abundant number, since it is smaller than the sum of its proper divisors (700419723920).

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

440424400240 is a wasteful number, since it uses less digits than its factorization.

440424400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648630 (or 10648624 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 440424400240 its reverse (42004424044), we get a palindrome (482428824284).

The spelling of 440424400240 in words is "four hundred forty billion, four hundred twenty-four million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 20680 41360 10648559 21297118 42594236 53242795 85188472 106485590 117134149 170376944 212971180 234268298 425942360 468536596 500482273 585670745 851884720 937073192 1000964546 1171341490 1874146384 2001929092 2342682980 2502411365 4003858184 4685365960 5004822730 5505305003 8007716368 9370731920 10009645460 11010610006 20019290920 22021220012 27526525015 40038581840 44042440024 55053050030 88084880048 110106100060 220212200120 440424400240