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440243066241 = 321116337373141
BaseRepresentation
bin1100110100000001000…
…10000001010110000001
31120002100021222221200200
412122000202001112001
524203104211104431
6534124520435413
743543430214516
oct6320042012601
91502307887620
10440243066241
1115a784808730
12713a4618b69
133268cb76284
1417444b6330d
15b6b98e4ee6
hex6680881581

440243066241 has 48 divisors (see below), whose sum is σ = 699853083072. Its totient is φ = 264462537600.

The previous prime is 440243066227. The next prime is 440243066251. The reversal of 440243066241 is 142660342044.

440243066241 is a `hidden beast` number, since 4 + 4 + 0 + 24 + 3 + 0 + 6 + 624 + 1 = 666.

It is not a de Polignac number, because 440243066241 - 215 = 440243033473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 440243066196 and 440243066205.

It is not an unprimeable number, because it can be changed into a prime (440243066251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5982531 + ... + 6055671.

It is an arithmetic number, because the mean of its divisors is an integer number (14580272564).

Almost surely, 2440243066241 is an apocalyptic number.

It is an amenable number.

440243066241 is a deficient number, since it is larger than the sum of its proper divisors (259610016831).

440243066241 is a wasteful number, since it uses less digits than its factorization.

440243066241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73694 (or 73691 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 440243066241 in words is "four hundred forty billion, two hundred forty-three million, sixty-six thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 163 373 489 1119 1467 1793 3357 4103 5379 12309 16137 36927 60799 73141 182397 219423 547191 658269 668789 804551 2006367 2413653 6019101 7240959 11921983 27281593 35765949 81844779 107297847 131141813 245534337 300097523 393425439 900292569 1180276317 2700877707 4446899659 13340698977 40022096931 48915896249 146747688747 440243066241