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440143031412 = 22337787739771
BaseRepresentation
bin1100110011110101001…
…00011010110001110100
31120002002022202122201000
412121322210122301310
524202403104001122
6534110544403300
743541104016010
oct6317244326164
91502068678630
10440143031412
1115a7332a3017
1271377016530
133267521c976
1417435763540
15b6b0c350ac
hex667a91ac74

440143031412 has 96 divisors (see below), whose sum is σ = 1305786352640. Its totient is φ = 125595191520.

The previous prime is 440143031399. The next prime is 440143031413. The reversal of 440143031412 is 214130341044.

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 (440143031413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225087 + ... + 964857.

Almost surely, 2440143031412 is an apocalyptic number.

440143031412 is a gapful number since it is divisible by the number (42) 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 440143031412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652893176320).

440143031412 is an abundant number, since it is smaller than the sum of its proper divisors (865643321228).

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

440143031412 is a wasteful number, since it uses less digits than its factorization.

440143031412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740578 (or 740570 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 440143031412 its reverse (214130341044), we get a palindrome (654273372456).

The spelling of 440143031412 in words is "four hundred forty billion, one hundred forty-three million, thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 787 1574 2361 3148 4722 5509 7083 9444 11018 14166 16527 21249 22036 28332 33054 42498 49581 66108 84996 99162 148743 198324 297486 594972 739771 1479542 2219313 2959084 4438626 5178397 6657939 8877252 10356794 13315878 15535191 19973817 20713588 26631756 31070382 39947634 46605573 62140764 79895268 93211146 139816719 186422292 279633438 559266876 582199777 1164399554 1746599331 2328799108 3493198662 4075398439 5239797993 6986397324 8150796878 10479595986 12226195317 15719393979 16301593756 20959191972 24452390634 31438787958 36678585951 48904781268 62877575916 73357171902 110035757853 146714343804 220071515706 440143031412