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444344320314 = 2321911035712479
BaseRepresentation
bin1100111011101001111…
…11000100000100111010
31120110221010020020121200
412131310333010010322
524240004121222224
6540043504515030
744050160255466
oct6356477040472
91513833206550
10444344320314
1116149986a604
127214a01ba76
1332b9475a22b
14177137134a6
15b8599bb5c9
hex6774fc413a

444344320314 has 48 divisors (see below), whose sum is σ = 967957585920. Its totient is φ = 147313271520.

The previous prime is 444344320297. The next prime is 444344320333. The reversal of 444344320314 is 413023443444.

444344320314 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 443 + 203 + 1 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35601127 + ... + 35613605.

It is an arithmetic number, because the mean of its divisors is an integer number (20165783040).

Almost surely, 2444344320314 is an apocalyptic number.

444344320314 is an abundant number, since it is smaller than the sum of its proper divisors (523613265606).

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

444344320314 is a wasteful number, since it uses less digits than its factorization.

444344320314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23035 (or 23032 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 444344320314 its reverse (413023443444), we get a palindrome (857367763758).

The spelling of 444344320314 in words is "four hundred forty-four billion, three hundred forty-four million, three hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 191 382 573 1146 1719 3438 10357 12479 20714 24958 31071 37437 62142 74874 93213 112311 186426 224622 1978187 2383489 3956374 4766978 5934561 7150467 11869122 14300934 17803683 21451401 35607366 42902802 129245003 258490006 387735009 775470018 1163205027 2326410054 24685795573 49371591146 74057386719 148114773438 222172160157 444344320314