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441240413440 = 2852331479481
BaseRepresentation
bin1100110101110111111…
…10100110010100000000
31120011220210200102211211
412122323332212110000
524212130021212230
6534411505215504
743610230426351
oct6327376462400
91504823612754
10441240413440
1116014678a412
1271622631594
13327bb694b48
14174db3bdd28
15b72725042a
hex66bbfa6500

441240413440 has 72 divisors (see below), whose sum is σ = 1061445484008. Its totient is φ = 175738552320.

The previous prime is 441240413387. The next prime is 441240413447. The reversal of 441240413440 is 44314042144.

It can be written as a sum of positive squares in 4 ways, for example, as 2339463424 + 438900950016 = 48368^2 + 662496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441240413447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441501 + ... + 1037980.

It is an arithmetic number, because the mean of its divisors is an integer number (14742298389).

Almost surely, 2441240413440 is an apocalyptic number.

441240413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441240413440 is an abundant number, since it is smaller than the sum of its proper divisors (620205070568).

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

441240413440 is a wasteful number, since it uses less digits than its factorization.

441240413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479735 (or 1479721 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 441240413440 its reverse (44314042144), we get a palindrome (485554455584).

The spelling of 441240413440 in words is "four hundred forty-one billion, two hundred forty million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 256 320 466 640 932 1165 1280 1864 2330 3728 4660 7456 9320 14912 18640 29824 37280 59648 74560 149120 298240 1479481 2958962 5917924 7397405 11835848 14794810 23671696 29589620 47343392 59179240 94686784 118358480 189373568 236716960 344719073 378747136 473433920 689438146 946867840 1378876292 1723595365 1893735680 2757752584 3447190730 5515505168 6894381460 11031010336 13788762920 22062020672 27577525840 44124041344 55155051680 88248082688 110310103360 220620206720 441240413440