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112444343312 = 2471779774099
BaseRepresentation
bin110100010111000110…
…1001000010000010000
3101202020102212111000212
41220232031020100100
53320241222441222
6123353424303252
711060322101540
oct1505615102020
9352212774025
10112444343312
114376199a454
1219961471b28
13a7aca402b2
145629aa7320
152dd19cc6e2
hex1a2e348410

112444343312 has 80 divisors (see below), whose sum is σ = 263964355200. Its totient is φ = 45298182144.

The previous prime is 112444343309. The next prime is 112444343357. The reversal of 112444343312 is 213343444211.

112444343312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480439 + ... + 1554537.

It is an arithmetic number, because the mean of its divisors is an integer number (3299554440).

Almost surely, 2112444343312 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 112444343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131982177600).

112444343312 is an abundant number, since it is smaller than the sum of its proper divisors (151520011888).

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

112444343312 is a wasteful number, since it uses less digits than its factorization.

112444343312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74928 (or 74922 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 112444343312 its reverse (213343444211), we get a palindrome (325787787523).

The spelling of 112444343312 in words is "one hundred twelve billion, four hundred forty-four million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 797 952 1594 1904 3188 5579 6376 11158 12752 13549 22316 27098 44632 54196 74099 89264 94843 108392 148198 189686 216784 296396 379372 518693 592792 758744 1037386 1185584 1259683 1517488 2074772 2519366 4149544 5038732 8299088 8817781 10077464 17635562 20154928 35271124 59056903 70542248 118113806 141084496 236227612 413398321 472455224 826796642 944910448 1003967351 1653593284 2007934702 3307186568 4015869404 6614373136 7027771457 8031738808 14055542914 16063477616 28111085828 56222171656 112444343312