Search a number
-
+
1342300414401 = 334311549100109
BaseRepresentation
bin10011100010000111010…
…101101110000111000001
311202022201020001011001000
4103202013111232013001
5133443012401230101
62504351100202213
7165656312160612
oct23420725560701
94668636034030
101342300414401
114782a2654661
12198191839369
139976993864b
1448d79491c09
1524db2861486
hex1388756e1c1

1342300414401 has 32 divisors (see below), whose sum is σ = 2035036080000. Its totient is φ = 873971671104.

The previous prime is 1342300414393. The next prime is 1342300414457. The reversal of 1342300414401 is 1044140032431.

1342300414401 is a `hidden beast` number, since 1 + 342 + 300 + 4 + 14 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 1342300414401 - 23 = 1342300414393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1322300414401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13358335 + ... + 13458443.

It is an arithmetic number, because the mean of its divisors is an integer number (63594877500).

Almost surely, 21342300414401 is an apocalyptic number.

It is an amenable number.

1342300414401 is a deficient number, since it is larger than the sum of its proper divisors (692735665599).

1342300414401 is a wasteful number, since it uses less digits than its factorization.

1342300414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111710 (or 111704 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1342300414401 its reverse (1044140032431), we get a palindrome (2386440446832).

The spelling of 1342300414401 in words is "one trillion, three hundred forty-two billion, three hundred million, four hundred fourteen thousand, four hundred one".

Divisors: 1 3 9 27 43 129 387 1161 11549 34647 100109 103941 300327 311823 496607 900981 1489821 2702943 4304687 4469463 12914061 13408389 38742183 116226549 1156158841 3468476523 10405429569 31216288707 49714830163 149144490489 447433471467 1342300414401