Search a number
-
+
1124134134432 = 25311709730567
BaseRepresentation
bin10000010110111011100…
…111011010001010100000
310222110120211200211021120
4100112323213122022200
5121404211314300212
62220230423452240
7144134043325341
oct20267347321240
93873524624246
101124134134432
113a381945a441
12161a462b7080
138200bb09baa
143c5a085c0c8
151e39463a88c
hex105bb9da2a0

1124134134432 has 24 divisors (see below), whose sum is σ = 2950852103136. Its totient is φ = 374711378112.

The previous prime is 1124134134391. The next prime is 1124134134449. The reversal of 1124134134432 is 2344314314211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 1124134134393 and 1124134134402.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5854865188 + ... + 5854865379.

It is an arithmetic number, because the mean of its divisors is an integer number (122952170964).

Almost surely, 21124134134432 is an apocalyptic number.

1124134134432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1124134134432 is an abundant number, since it is smaller than the sum of its proper divisors (1826717968704).

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

1124134134432 is a wasteful number, since it uses less digits than its factorization.

1124134134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11709730580 (or 11709730572 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 1124134134432 its reverse (2344314314211), we get a palindrome (3468448448643).

The spelling of 1124134134432 in words is "one trillion, one hundred twenty-four billion, one hundred thirty-four million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11709730567 23419461134 35129191701 46838922268 70258383402 93677844536 140516766804 187355689072 281033533608 374711378144 562067067216 1124134134432