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31440442332 = 223132296411373
BaseRepresentation
bin11101010001111111…
…110001001111011100
310000011010201221210010
4131101333301033130
51003342223123312
622235445443220
72162060231115
oct352177611734
9100133657703
1031440442332
1112374345742
126115410510
132c70933840
14174388720c
15c4030b93c
hex751ff13dc

31440442332 has 96 divisors (see below), whose sum is σ = 79530857280. Its totient is φ = 9609707520.

The previous prime is 31440442331. The next prime is 31440442351. The reversal of 31440442332 is 23324404413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31440442332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31440442331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22898398 + ... + 22899770.

It is an arithmetic number, because the mean of its divisors is an integer number (828446430).

Almost surely, 231440442332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31440442332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39765428640).

31440442332 is an abundant number, since it is smaller than the sum of its proper divisors (48090414948).

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

31440442332 is a wasteful number, since it uses less digits than its factorization.

31440442332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 31440442332 its reverse (23324404413), we get a palindrome (54764846745).

The spelling of 31440442332 in words is "thirty-one billion, four hundred forty million, four hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 229 458 641 687 916 1282 1373 1374 1923 2564 2746 2748 2977 3846 4119 5492 5954 7692 8238 8333 8931 11908 16476 16666 17849 17862 24999 33332 35698 35724 49998 53547 71396 99996 107094 146789 214188 293578 314417 440367 587156 628834 880093 880734 943251 1257668 1760186 1761468 1886502 1908257 2640279 3520372 3773004 3816514 4087421 5280558 5724771 7633028 8174842 10561116 11441209 11449542 12262263 16349684 22882418 22899084 24524526 34323627 45764836 49049052 68647254 137294508 201541297 403082594 604623891 806165188 1209247782 2418495564 2620036861 5240073722 7860110583 10480147444 15720221166 31440442332