Search a number
-
+
1323420005440 = 26513318129809
BaseRepresentation
bin10011010000100001111…
…110101011010001000000
311200111222102012222222001
4103100201332223101000
5133140331010133230
62451545403353344
7164420403303541
oct23204176532100
94614872188861
101323420005440
11470294100995
121945a2822854
1397a4b1b0920
14480a7b684c8
152465a04b0ca
hex13421fab440

1323420005440 has 56 divisors (see below), whose sum is σ = 3393808813080. Its totient is φ = 488647385088.

The previous prime is 1323420005423. The next prime is 1323420005449. The reversal of 1323420005440 is 445000243231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133523006464 + 1189896998976 = 365408^2 + 1090824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1323420005399 and 1323420005408.

It is not an unprimeable number, because it can be changed into a prime (1323420005449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159060745 + ... + 159069064.

It is an arithmetic number, because the mean of its divisors is an integer number (60603728805).

Almost surely, 21323420005440 is an apocalyptic number.

1323420005440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323420005440 is an abundant number, since it is smaller than the sum of its proper divisors (2070388807640).

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

1323420005440 is a wasteful number, since it uses less digits than its factorization.

1323420005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318129839 (or 318129829 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 1323420005440 its reverse (445000243231), we get a palindrome (1768420248671).

The spelling of 1323420005440 in words is "one trillion, three hundred twenty-three billion, four hundred twenty million, five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 318129809 636259618 1272519236 1590649045 2545038472 3181298090 4135687517 5090076944 6362596180 8271375034 10180153888 12725192360 16542750068 20360307776 20678437585 25450384720 33085500136 41356875170 50900769440 66171000272 82713750340 101801538880 132342000544 165427500680 264684001088 330855001360 661710002720 1323420005440