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4244444011400 = 2352195531085369
BaseRepresentation
bin111101110000111100100…
…100111101101110001000
3120000202122121020002111212
4331300330210331232020
51024020110131331100
613005512021312252
7615436164552305
oct75607444755610
916022577202455
104244444011400
111397070aa03aa
12586727865688
1324a331a9c7b8
14109609cc20ac
157561b145635
hex3dc3c93db88

4244444011400 has 48 divisors (see below), whose sum is σ = 9868846115700. Its totient is φ = 1697689210880.

The previous prime is 4244444011369. The next prime is 4244444011403. The reversal of 4244444011400 is 41104444424.

It can be written as a sum of positive squares in 6 ways, for example, as 3475592118436 + 768851892964 = 1864294^2 + 876842^2 .

It is not an unprimeable number, because it can be changed into a prime (4244444011403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3367916 + ... + 4453284.

Almost surely, 24244444011400 is an apocalyptic number.

4244444011400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244444011400 is an abundant number, since it is smaller than the sum of its proper divisors (5624402104300).

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

4244444011400 is a wasteful number, since it uses less digits than its factorization.

4244444011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104938 (or 1104929 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 4244444011400 its reverse (41104444424), we get a palindrome (4285548455824).

The spelling of 4244444011400 in words is "four trillion, two hundred forty-four billion, four hundred forty-four million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 19553 39106 78212 97765 156424 195530 391060 488825 782120 977650 1085369 1955300 2170738 3910600 4341476 5426845 8682952 10853690 21707380 27134225 43414760 54268450 108536900 217073800 21222220057 42444440114 84888880228 106111100285 169777760456 212222200570 424444401140 530555501425 848888802280 1061111002850 2122222005700 4244444011400