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13323444444 = 22321139713373
BaseRepresentation
bin11000110100010001…
…11010000011011100
31021101112102002211100
430122020322003130
5204241300210234
610042023353100
7651111260232
oct143210720334
937345362740
1013323444444
115717812012
1226b9bb2790
1313443ba94b
149056c2952
1552ea42399
hex31a23a0dc

13323444444 has 72 divisors (see below), whose sum is σ = 34021823472. Its totient is φ = 4396008960.

The previous prime is 13323444443. The next prime is 13323444457. The reversal of 13323444444 is 44444432331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13323444399 and 13323444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323444443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3948342 + ... + 3951714.

It is an arithmetic number, because the mean of its divisors is an integer number (472525326).

Almost surely, 213323444444 is an apocalyptic number.

It is an amenable number.

13323444444 is an abundant number, since it is smaller than the sum of its proper divisors (20698379028).

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

13323444444 is a wasteful number, since it uses less digits than its factorization.

13323444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4462 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 13323444444 its reverse (44444432331), we get a palindrome (57767876775).

The spelling of 13323444444 in words is "thirteen billion, three hundred twenty-three million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 971 1017 1356 1942 2034 2913 3373 3884 4068 5826 6746 8739 10119 11652 13492 17478 20238 30357 34956 40476 60714 109723 121428 219446 329169 381149 438892 658338 762298 987507 1143447 1316676 1524596 1975014 2286894 3275183 3430341 3950028 4573788 6550366 6860682 9825549 13100732 13721364 19651098 29476647 39302196 58953294 117906588 370095679 740191358 1110287037 1480382716 2220574074 3330861111 4441148148 6661722222 13323444444