Search a number
-
+
10332144442424 = 237281656592809
BaseRepresentation
bin1001011001011010001111…
…0011001001110000111000
31100120202001220121010221002
42112112203303021300320
52323240212434124144
633550304401104132
72114321112462350
oct226264363116070
940522056533832
1010332144442424
1133239241a7712
1211aa532328048
1359c4176ca95c
1427a115413b60
1512db6962114e
hex965a3cc9c38

10332144442424 has 32 divisors (see below), whose sum is σ = 22219100690400. Its totient is φ = 4412303669760.

The previous prime is 10332144442393. The next prime is 10332144442439. The reversal of 10332144442424 is 42424444123301.

It is a super-3 number, since 3×103321444424243 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328280669 + ... + 328312140.

It is an arithmetic number, because the mean of its divisors is an integer number (694346896575).

Almost surely, 210332144442424 is an apocalyptic number.

10332144442424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10332144442424 is an abundant number, since it is smaller than the sum of its proper divisors (11886956247976).

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

10332144442424 is a wasteful number, since it uses less digits than its factorization.

10332144442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656593103 (or 656593099 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 10332144442424 its reverse (42424444123301), we get a palindrome (52756588565725).

The spelling of 10332144442424 in words is "ten trillion, three hundred thirty-two billion, one hundred forty-four million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 281 562 1124 1967 2248 3934 7868 15736 656592809 1313185618 2626371236 4596149663 5252742472 9192299326 18384598652 36769197304 184502579329 369005158658 738010317316 1291518055303 1476020634632 2583036110606 5166072221212 10332144442424