Search a number
-
+
4444404440399 = 711297732574811
BaseRepresentation
bin100000010101100101100…
…1001011101110101001111
3120201212210012001100210122
41000223023021131311033
51040304120014043044
613241421535255155
7636045325266050
oct100531311356517
916655705040718
104444404440399
1114639524942a0
125b943207a4bb
1326314ab45481
14115178a22727
157a920d9edee
hex40acb25dd4f

4444404440399 has 32 divisors (see below), whose sum is σ = 5739564925440. Its totient is φ = 3339425577600.

The previous prime is 4444404440393. The next prime is 4444404440419. The reversal of 4444404440399 is 9930444044444.

4444404440399 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4444404440399 - 24 = 4444404440383 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4444404440399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444404440393) 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, 438704 + ... + 3013514.

It is an arithmetic number, because the mean of its divisors is an integer number (179361403920).

Almost surely, 24444404440399 is an apocalyptic number.

4444404440399 is a deficient number, since it is larger than the sum of its proper divisors (1295160485041).

4444404440399 is a wasteful number, since it uses less digits than its factorization.

4444404440399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575631.

The product of its (nonzero) digits is 15925248, while the sum is 53.

The spelling of 4444404440399 in words is "four trillion, four hundred forty-four billion, four hundred four million, four hundred forty thousand, three hundred ninety-nine".

Divisors: 1 7 11 29 77 203 319 773 2233 5411 8503 22417 59521 156919 246587 1726109 2574811 18023677 28322921 74669519 198260447 522686633 821364709 1990328903 5749552963 13932302321 21893617933 57719538187 153255325531 404036767309 634914920057 4444404440399