Search a number
-
+
440123324664432 = 24368991329067391
BaseRepresentation
bin110010000010010100011001…
…0011011001000101001110000
32010201100101020020022012011110
41210010220302123020221300
5430141440032103230212
64200021510350513320
7161463601164240603
oct14404506233105160
92121311206265143
10440123324664432
11118267287866442
1241442a22b05840
1315b775b3a39426
147a9812282633a
1535d393eb26a3c
hex1904a326c8a70

440123324664432 has 40 divisors (see below), whose sum is σ = 1137150060595200. Its totient is φ = 146686509699520.

The previous prime is 440123324664409. The next prime is 440123324664497. The reversal of 440123324664432 is 234466423321044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 664202544 + ... + 664864847.

It is an arithmetic number, because the mean of its divisors is an integer number (28428751514880).

Almost surely, 2440123324664432 is an apocalyptic number.

It is an amenable number.

440123324664432 is an abundant number, since it is smaller than the sum of its proper divisors (697026735930768).

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

440123324664432 is a wasteful number, since it uses less digits than its factorization.

440123324664432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329074301 (or 1329074295 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 48.

Adding to 440123324664432 its reverse (234466423321044), we get a palindrome (674589747985476).

The spelling of 440123324664432 in words is "four hundred forty trillion, one hundred twenty-three billion, three hundred twenty-four million, six hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 6899 13798 20697 27596 41394 55192 82788 110384 165576 331152 1329067391 2658134782 3987202173 5316269564 7974404346 10632539128 15948808692 21265078256 31897617384 63795234768 9169235930509 18338471861018 27507707791527 36676943722036 55015415583054 73353887444072 110030831166108 146707774888144 220061662332216 440123324664432