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4114445112 = 233340946573
BaseRepresentation
bin1111010100111101…
…0111001100111000
3101121202001110122000
43311033113030320
531411244220422
61520134501000
7203650130541
oct36517271470
911552043560
104114445112
111821551568
12969b04760
1350755210b
142b06254c8
1519132ecac
hexf53d7338

4114445112 has 64 divisors (see below), whose sum is σ = 11457204000. Its totient is φ = 1368099072.

The previous prime is 4114445087. The next prime is 4114445113. The reversal of 4114445112 is 2115444114.

It is a happy number.

4114445112 is a `hidden beast` number, since 4 + 1 + 144 + 4 + 511 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114445113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65058 + ... + 111630.

Almost surely, 24114445112 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 4114445112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728602000).

4114445112 is an abundant number, since it is smaller than the sum of its proper divisors (7342758888).

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

4114445112 is a wasteful number, since it uses less digits than its factorization.

4114445112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46997 (or 46987 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 4114445112 is about 64143.9405711872. The cubic root of 4114445112 is about 1602.3981111602.

Adding to 4114445112 its reverse (2115444114), we get a palindrome (6229889226).

The spelling of 4114445112 in words is "four billion, one hundred fourteen million, four hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 409 818 1227 1636 2454 3272 3681 4908 7362 9816 11043 14724 22086 29448 44172 46573 88344 93146 139719 186292 279438 372584 419157 558876 838314 1117752 1257471 1676628 2514942 3353256 5029884 10059768 19048357 38096714 57145071 76193428 114290142 152386856 171435213 228580284 342870426 457160568 514305639 685740852 1028611278 1371481704 2057222556 4114445112