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14111044440 = 23351072813911
BaseRepresentation
bin11010010010001010…
…10111001101011000
31100102102102022220120
431021011113031120
5212344411410230
610252120353240
71006453620153
oct151105271530
940372368816
1014111044440
115a913535a9
122899915820
13143b61b74c
1497c140c9a
15578c6a310
hex349157358

14111044440 has 128 divisors (see below), whose sum is σ = 42891793920. Its totient is φ = 3713561600.

The previous prime is 14111044439. The next prime is 14111044447. The reversal of 14111044440 is 4444011141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14111044440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111044447) 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, 3606085 + ... + 3609995.

It is an arithmetic number, because the mean of its divisors is an integer number (335092140).

Almost surely, 214111044440 is an apocalyptic number.

14111044440 is a gapful number since it is divisible by the number (10) 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 14111044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21445896960).

14111044440 is an abundant number, since it is smaller than the sum of its proper divisors (28780749480).

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

14111044440 is a wasteful number, since it uses less digits than its factorization.

14111044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14111044440 its reverse (4444011141), we get a palindrome (18555055581).

The spelling of 14111044440 in words is "fourteen billion, one hundred eleven million, forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 281 321 428 535 562 642 843 856 1070 1124 1284 1405 1605 1686 2140 2248 2568 2810 3210 3372 3911 4215 4280 5620 6420 6744 7822 8430 11240 11733 12840 15644 16860 19555 23466 30067 31288 33720 39110 46932 58665 60134 78220 90201 93864 117330 120268 150335 156440 180402 234660 240536 300670 360804 418477 451005 469320 601340 721608 836954 902010 1098991 1202680 1255431 1673908 1804020 2092385 2197982 2510862 3296973 3347816 3608040 4184770 4395964 5021724 5494955 6277155 6593946 8369540 8791928 10043448 10989910 12554310 13187892 16484865 16739080 21979820 25108620 26375784 32969730 43959640 50217240 65939460 117592037 131878920 235184074 352776111 470368148 587960185 705552222 940736296 1175920370 1411104444 1763880555 2351840740 2822208888 3527761110 4703681480 7055522220 14111044440