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31440213441 = 3272139475791
BaseRepresentation
bin11101010001111110…
…111001010111000001
310000011010022022210200
4131101332321113001
51003342143312231
622235440515413
72162055255600
oct352176712701
9100133268720
1031440213441
11123741a977a
12611531bb69
132c708835c0
141743827a37
15c402b3be6
hex751fb95c1

31440213441 has 72 divisors (see below), whose sum is σ = 56961725184. Its totient is φ = 16563476160.

The previous prime is 31440213421. The next prime is 31440213449. The reversal of 31440213441 is 14431204413.

31440213441 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 0 + 213 + 441 = 666.

It is not a de Polignac number, because 31440213441 - 211 = 31440211393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31440213449) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5426256 + ... + 5432046.

It is an arithmetic number, because the mean of its divisors is an integer number (791135072).

Almost surely, 231440213441 is an apocalyptic number.

It is an amenable number.

31440213441 is a deficient number, since it is larger than the sum of its proper divisors (25521511743).

31440213441 is a wasteful number, since it uses less digits than its factorization.

31440213441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31440213441 its reverse (14431204413), we get a palindrome (45871417854).

The spelling of 31440213441 in words is "thirty-one billion, four hundred forty million, two hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 947 1911 2841 5733 5791 6629 8523 12311 17373 19887 36933 40537 46403 52119 59661 75283 86177 110799 121611 139209 225849 258531 283759 364833 417627 526981 603239 677547 775593 851277 1580943 1809717 2553831 3688867 4742829 5429151 5484077 11066601 16452231 33199803 38388539 49356693 71293001 115165617 213879003 268719773 345496851 499051007 641637009 806159319 1497153021 2418477957 3493357049 4491459063 10480071147 31440213441