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112147127344 = 2479754119081
BaseRepresentation
bin110100001110001111…
…1010101110000110000
3101201110201121100101001
41220130133111300300
53314134131033334
6123304130051344
711050052565640
oct1503437256060
9351421540331
10112147127344
114361a14771a
1219899a19b54
13a7632a8765
1455dc41a520
152db586d714
hex1a1c7d5c30

112147127344 has 80 divisors (see below), whose sum is σ = 251362758976. Its totient is φ = 47477145600.

The previous prime is 112147127333. The next prime is 112147127377. The reversal of 112147127344 is 443721741211.

It is a happy number.

It is a super-2 number, since 2×1121471273442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5867884 + ... + 5886964.

Almost surely, 2112147127344 is an apocalyptic number.

112147127344 is a gapful number since it is divisible by the number (14) 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 112147127344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125681379488).

112147127344 is an abundant number, since it is smaller than the sum of its proper divisors (139215631632).

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

112147127344 is a wasteful number, since it uses less digits than its factorization.

112147127344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19728 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

Adding to 112147127344 its reverse (443721741211), we get a palindrome (555868868555).

The spelling of 112147127344 in words is "one hundred twelve billion, one hundred forty-seven million, one hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 541 679 776 1082 1358 1552 2164 2716 3787 4328 5432 7574 8656 10864 15148 19081 30296 38162 52477 60592 76324 104954 133567 152648 209908 267134 305296 367339 419816 534268 734678 839632 1068536 1469356 1850857 2137072 2938712 3701714 5877424 7403428 10322821 12955999 14806856 20645642 25911998 29613712 41291284 51823996 72259747 82582568 103647992 144519494 165165136 207295984 289038988 578077976 1001313637 1156155952 2002627274 4005254548 7009195459 8010509096 14018390918 16021018192 28036781836 56073563672 112147127344