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31344444012 = 22375315674493
BaseRepresentation
bin11101001100010001…
…100100001001101100
32222220110002201211210
4131030101210021230
51003143134202022
622222140114420
72156513243460
oct351421441154
988813081753
1031344444012
1112325137792
1260a9235a10
132c56a915bb
141734c184a0
15c36b97a0c
hex74c46426c

31344444012 has 96 divisors (see below), whose sum is σ = 85235576832. Its totient is φ = 8779021056.

The previous prime is 31344443989. The next prime is 31344444023. The reversal of 31344444012 is 21044444313.

It is a super-2 number, since 2×313444440122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6974038 + ... + 6978530.

It is an arithmetic number, because the mean of its divisors is an integer number (887870592).

Almost surely, 231344444012 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 31344444012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42617788416).

31344444012 is an abundant number, since it is smaller than the sum of its proper divisors (53891132820).

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

31344444012 is a wasteful number, since it uses less digits than its factorization.

31344444012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31344444012 its reverse (21044444313), we get a palindrome (52388888325).

The spelling of 31344444012 in words is "thirty-one billion, three hundred forty-four million, four hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 1567 2226 3134 4452 4493 4701 6268 8986 9402 10969 13479 17972 18804 21938 26958 31451 32907 43876 53916 62902 65814 83051 94353 125804 131628 166102 188706 238129 249153 332204 377412 476258 498306 581357 714387 952516 996612 1162714 1428774 1666903 1744071 2325428 2857548 3333806 3488142 5000709 6667612 6976284 7040531 10001418 14081062 20002836 21121593 28162124 42243186 49283717 84486372 98567434 147851151 197134868 295702302 373148143 591404604 746296286 1119444429 1492592572 2238888858 2612037001 4477777716 5224074002 7836111003 10448148004 15672222006 31344444012