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4434412444131 = 373211223430333
BaseRepresentation
bin100000010000111011110…
…0101000001100111100011
3120200220222211100100201210
41000201313211001213203
51040123134041203011
613233050240201203
7635242605600435
oct100416745014743
916626884310653
104434412444131
11145a69524663a
125b7503909203
132622179cb047
141148ab984655
157a538a736a6
hex408779419e3

4434412444131 has 32 divisors (see below), whose sum is σ = 6048967493632. Its totient is φ = 2888939208960.

The previous prime is 4434412444123. The next prime is 4434412444151. The reversal of 4434412444131 is 1314442144344.

It is not a de Polignac number, because 4434412444131 - 23 = 4434412444123 is a prime.

It is a super-2 number, since 2×44344124441312 (a number of 26 digits) contains 22 as substring.

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 4434412444131.

It is not an unprimeable number, because it can be changed into a prime (4434412444151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10089441 + ... + 10519773.

It is an arithmetic number, because the mean of its divisors is an integer number (189030234176).

Almost surely, 24434412444131 is an apocalyptic number.

4434412444131 is a deficient number, since it is larger than the sum of its proper divisors (1614555049501).

4434412444131 is a wasteful number, since it uses less digits than its factorization.

4434412444131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430843.

The product of its digits is 294912, while the sum is 39.

Adding to 4434412444131 its reverse (1314442144344), we get a palindrome (5748854588475).

The spelling of 4434412444131 in words is "four trillion, four hundred thirty-four billion, four hundred twelve million, four hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 73 211 219 223 633 669 15403 16279 46209 47053 48837 141159 430333 1290999 3434869 10304607 31414309 90800263 94242927 95964259 272400789 287892777 6628419199 7005390907 19885257597 20248458649 21016172721 60745375947 1478137481377 4434412444131