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112440300352 = 2647191195709
BaseRepresentation
bin110100010110111110…
…1101101001101000000
3101202020011021002010121
41220231331231031000
53320234204102402
6123353201510024
711060242532512
oct1505575551500
9352204232117
10112440300352
114375a688966
1219960042314
13a7abc56003
145629333bb2
152dd147e837
hex1a2df6d340

112440300352 has 56 divisors (see below), whose sum is σ = 229065246720. Its totient is φ = 54735613440.

The previous prime is 112440300347. The next prime is 112440300419. The reversal of 112440300352 is 253003044211.

It is a super-2 number, since 2×1124403003522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476674 + ... + 672382.

Almost surely, 2112440300352 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 112440300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114532623360).

112440300352 is an abundant number, since it is smaller than the sum of its proper divisors (116624946368).

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

112440300352 is a wasteful number, since it uses less digits than its factorization.

112440300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195959 (or 195949 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 112440300352 its reverse (253003044211), we get a palindrome (365443344563).

The spelling of 112440300352 in words is "one hundred twelve billion, four hundred forty million, three hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 64 94 188 191 376 382 752 764 1504 1528 3008 3056 6112 8977 12224 17954 35908 71816 143632 195709 287264 391418 574528 782836 1565672 3131344 6262688 9198323 12525376 18396646 36793292 37380419 73586584 74760838 147173168 149521676 294346336 299043352 588692672 598086704 1196173408 1756879693 2392346816 3513759386 7027518772 14055037544 28110075088 56220150176 112440300352