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4432110424040 = 2351338322254019
BaseRepresentation
bin100000001111110111001…
…0111100000111111101000
3120200201001101200121211102
41000133232113200333220
51040103430232032130
613232030004020532
7635131554003545
oct100375627407750
916621041617742
104432110424040
1114597138758a2
125b6b80991748
13261c3bac9590
1411472dd4bbcc
157a451903645
hex407ee5e0fe8

4432110424040 has 64 divisors (see below), whose sum is σ = 10767385036800. Its totient is φ = 1632198696192.

The previous prime is 4432110424039. The next prime is 4432110424043. The reversal of 4432110424040 is 404240112344.

It is a junction number, because it is equal to n+sod(n) for n = 4432110423994 and 4432110424012.

It is not an unprimeable number, because it can be changed into a prime (4432110424043) 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 15 ways as a sum of consecutive naturals, for example, 10927850 + ... + 11326169.

It is an arithmetic number, because the mean of its divisors is an integer number (168240391200).

Almost surely, 24432110424040 is an apocalyptic number.

4432110424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4432110424040 is an abundant number, since it is smaller than the sum of its proper divisors (6335274612760).

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

4432110424040 is a wasteful number, since it uses less digits than its factorization.

4432110424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22254426 (or 22254422 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4432110424040 its reverse (404240112344), we get a palindrome (4836350536384).

The spelling of 4432110424040 in words is "four trillion, four hundred thirty-two billion, one hundred ten million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 383 520 766 1532 1915 3064 3830 4979 7660 9958 15320 19916 24895 39832 49790 99580 199160 22254019 44508038 89016076 111270095 178032152 222540190 289302247 445080380 578604494 890160760 1157208988 1446511235 2314417976 2893022470 5786044940 8523289277 11572089880 17046578554 34093157108 42616446385 68186314216 85232892770 110802760601 170465785540 221605521202 340931571080 443211042404 554013803005 886422084808 1108027606010 2216055212020 4432110424040