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112443430240 = 2557965913499
BaseRepresentation
bin110100010111000100…
…1101001010101100000
3101202020101011002112101
41220232021221111200
53320241004231430
6123353352540144
711060311246531
oct1505611512540
9352211132471
10112443430240
1143761426449
12199610b1654
13a7ac7b080b
14562990a688
152dd189bdca
hex1a2e269560

112443430240 has 96 divisors (see below), whose sum is σ = 269438400000. Its totient is φ = 44337366528.

The previous prime is 112443430217. The next prime is 112443430241. The reversal of 112443430240 is 42034344211.

It is a junction number, because it is equal to n+sod(n) for n = 112443430199 and 112443430208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112443430241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8323011 + ... + 8336509.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650000).

Almost surely, 2112443430240 is an apocalyptic number.

112443430240 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 112443430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134719200000).

112443430240 is an abundant number, since it is smaller than the sum of its proper divisors (156994969760).

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

112443430240 is a wasteful number, since it uses less digits than its factorization.

112443430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14252 (or 14244 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 112443430240 its reverse (42034344211), we get a palindrome (154477774451).

The spelling of 112443430240 in words is "one hundred twelve billion, four hundred forty-three million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 659 790 1264 1318 1580 2528 2636 3160 3295 5272 6320 6590 10544 12640 13180 13499 21088 26360 26998 52061 52720 53996 67495 104122 105440 107992 134990 208244 215984 260305 269980 416488 431968 520610 539960 832976 1041220 1066421 1079920 1665952 2082440 2132842 2159840 4164880 4265684 5332105 8329760 8531368 8895841 10664210 17062736 17791682 21328420 34125472 35583364 42656840 44479205 71166728 85313680 88958410 142333456 170627360 177916820 284666912 355833640 702771439 711667280 1405542878 1423334560 2811085756 3513857195 5622171512 7027714390 11244343024 14055428780 22488686048 28110857560 56221715120 112443430240