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112142344240 = 24510122960607
BaseRepresentation
bin110100001110000110…
…1000110000000110000
3101201110101121100012001
41220130031012000300
53314131420003430
6123303435343344
711046664125013
oct1503415060060
9351411540161
10112142344240
1143617480043
12198982b1b54
13a7622c2614
1455db93337a
152db52263ca
hex1a1c346030

112142344240 has 80 divisors (see below), whose sum is σ = 264466644480. Its totient is φ = 44218137600.

The previous prime is 112142344187. The next prime is 112142344261. The reversal of 112142344240 is 42443241211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1121423442402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112142344199 and 112142344208.

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, 1820017 + ... + 1880623.

It is an arithmetic number, because the mean of its divisors is an integer number (3305833056).

Almost surely, 2112142344240 is an apocalyptic number.

112142344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112142344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132233322240).

112142344240 is an abundant number, since it is smaller than the sum of its proper divisors (152324300240).

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

112142344240 is a wasteful number, since it uses less digits than its factorization.

112142344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60950 (or 60944 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 112142344240 its reverse (42443241211), we get a palindrome (154585585451).

The spelling of 112142344240 in words is "one hundred twelve billion, one hundred forty-two million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 229 404 458 505 808 916 1010 1145 1616 1832 2020 2290 3664 4040 4580 8080 9160 18320 23129 46258 60607 92516 115645 121214 185032 231290 242428 303035 370064 462580 484856 606070 925160 969712 1212140 1850320 2424280 4848560 6121307 12242614 13879003 24485228 27758006 30606535 48970456 55516012 61213070 69395015 97940912 111032024 122426140 138790030 222064048 244852280 277580060 489704560 555160120 1110320240 1401779303 2803558606 5607117212 7008896515 11214234424 14017793030 22428468848 28035586060 56071172120 112142344240