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7444444420 = 22572913113997
BaseRepresentation
bin1101110111011100…
…10011010100000100
3201012211000221220201
412323232103110010
5110221234210140
63230412140244
7352323506410
oct67356232404
921184027821
107444444420
113180216306
121539167684
13918408cca
145089add40
152d885b49a
hex1bbb93504

7444444420 has 96 divisors (see below), whose sum is σ = 18625178880. Its totient is φ = 2445381120.

The previous prime is 7444444409. The next prime is 7444444421. The reversal of 7444444420 is 244444447.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 7444444420.

It is not an unprimeable number, because it can be changed into a prime (7444444421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524862 + ... + 538858.

It is an arithmetic number, because the mean of its divisors is an integer number (194012280).

Almost surely, 27444444420 is an apocalyptic number.

7444444420 is a gapful number since it is divisible by the number (70) 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 7444444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312589440).

7444444420 is an abundant number, since it is smaller than the sum of its proper divisors (11180734460).

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

7444444420 is a wasteful number, since it uses less digits than its factorization.

7444444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14173 (or 14171 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 37.

The square root of 7444444420 is about 86281.1938953095. The cubic root of 7444444420 is about 1952.5886654131.

Adding to 7444444420 its reverse (244444447), we get a palindrome (7688888867).

The spelling of 7444444420 in words is "seven billion, four hundred forty-four million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 131 140 145 203 262 290 406 524 580 655 812 917 1015 1310 1834 2030 2620 3668 3799 4060 4585 7598 9170 13997 15196 18340 18995 26593 27994 37990 53186 55988 69985 75980 97979 106372 132965 139970 195958 265930 279940 391916 405913 489895 531860 811826 979790 1623652 1833607 1959580 2029565 2841391 3667214 4059130 5682782 7334428 8118260 9168035 11365564 12835249 14206955 18336070 25670498 28413910 36672140 51340996 53174603 56827820 64176245 106349206 128352490 212698412 256704980 265873015 372222221 531746030 744444442 1063492060 1488888884 1861111105 3722222210 7444444420