Search a number
-
+
112111343241440 = 2554241165219499
BaseRepresentation
bin11001011111011011110100…
…110010100000100011100000
3112200221201222021100100022012
4121133123310302200203200
5104143313012332211230
61034235123504532052
732420530412124104
oct3137336462404340
9480851867310265
10112111343241440
11327a4176583284
12106a7b1a021028
134a730923ca73a
141d9830a14d904
15ce64176ba395
hex65f6f4ca08e0

112111343241440 has 48 divisors (see below), whose sum is σ = 264925502982000. Its totient is φ = 44833962977280.

The previous prime is 112111343241431. The next prime is 112111343241467. The reversal of 112111343241440 is 44142343111211.

It is a super-2 number, since 2×1121113432414402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 112111343241397 and 112111343241406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81931190 + ... + 83288309.

It is an arithmetic number, because the mean of its divisors is an integer number (5519281312125).

Almost surely, 2112111343241440 is an apocalyptic number.

112111343241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112111343241440 is an abundant number, since it is smaller than the sum of its proper divisors (152814159740560).

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

112111343241440 is a wasteful number, since it uses less digits than its factorization.

112111343241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165223755 (or 165223747 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 112111343241440 its reverse (44142343111211), we get a palindrome (156253686352651).

The spelling of 112111343241440 in words is "one hundred twelve trillion, one hundred eleven billion, three hundred forty-three million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4241 8482 16964 21205 33928 42410 67856 84820 135712 169640 339280 678560 165219499 330438998 660877996 826097495 1321755992 1652194990 2643511984 3304389980 5287023968 6608779960 13217559920 26435119840 700695895259 1401391790518 2802783581036 3503479476295 5605567162072 7006958952590 11211134324144 14013917905180 22422268648288 28027835810360 56055671620720 112111343241440