Search a number
-
+
1340324121330 = 2325113131791949
BaseRepresentation
bin10011100000010001100…
…010110000101011110010
311202010121111022001121100
4103200101202300223302
5133424440433340310
62503423021305230
7165556324024335
oct23402142605362
94663544261540
101340324121330
1147747902a3a7
1219791ba05216
1399513371a6c
1448c2cc0861c
1524ce90d2ec0
hex138118b0af2

1340324121330 has 48 divisors (see below), whose sum is σ = 3515682058200. Its totient is φ = 354256756224.

The previous prime is 1340324121313. The next prime is 1340324121337. The reversal of 1340324121330 is 331214230431.

It is a happy number.

1340324121330 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 324 + 1 + 2 + 1 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 394857654129 + 945466467201 = 628377^2 + 972351^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1340324121294 and 1340324121303.

It is not an unprimeable number, because it can be changed into a prime (1340324121337) 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 23 ways as a sum of consecutive naturals, for example, 65885805 + ... + 65906144.

Almost surely, 21340324121330 is an apocalyptic number.

1340324121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1340324121330 is an abundant number, since it is smaller than the sum of its proper divisors (2175357936870).

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

1340324121330 is a wasteful number, since it uses less digits than its factorization.

1340324121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131792075 (or 131792072 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1340324121330 its reverse (331214230431), we get a palindrome (1671538351761).

The spelling of 1340324121330 in words is "one trillion, three hundred forty billion, three hundred twenty-four million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 131791949 263583898 395375847 658959745 790751694 1186127541 1317919490 1976879235 2372255082 3953758470 5930637705 11861275410 14892490237 29784980474 44677470711 74462451185 89354941422 134032412133 148924902370 223387353555 268064824266 446774707110 670162060665 1340324121330