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1014343320321 = 363773515149
BaseRepresentation
bin11101100001010111001…
…00101100001100000001
310120222012022220121000000
432300223210230030001
5113104333342222241
62053552145350213
7133166241651312
oct16605344541401
93528168817000
101014343320321
113611a93a6831
12144705638369
1374862a62426
143714736c609
151b5baab3eb6
hexec2b92c301

1014343320321 has 56 divisors (see below), whose sum is σ = 1583321767400. Its totient is φ = 648938117376.

The previous prime is 1014343320269. The next prime is 1014343320323. The reversal of 1014343320321 is 1230233434101.

It is a happy number.

1014343320321 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 4 + 332 + 0 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 244668729600 + 769674590721 = 494640^2 + 877311^2 .

It is not a de Polignac number, because 1014343320321 - 29 = 1014343319809 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 (1014343320323) 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 55 ways as a sum of consecutive naturals, for example, 1711455 + ... + 2226603.

Almost surely, 21014343320321 is an apocalyptic number.

It is an amenable number.

1014343320321 is a deficient number, since it is larger than the sum of its proper divisors (568978447079).

1014343320321 is an frugal number, since it uses more digits than its factorization.

1014343320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515277 (or 515262 counting only the distinct ones).

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

Adding to 1014343320321 its reverse (1230233434101), we get a palindrome (2244576754422).

The spelling of 1014343320321 in words is "one trillion, fourteen billion, three hundred forty-three million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 37 73 81 111 219 243 333 657 729 999 1971 2701 2997 5913 8103 8991 17739 24309 26973 53217 72927 218781 515149 656343 1545447 1969029 4636341 13909023 19060513 37605877 41727069 57181539 112817631 125181207 171544617 338452893 375543621 514633851 1015358679 1391417449 1543901553 3046076037 4174252347 4631704659 9138228111 12522757041 13895113977 27414684333 37568271123 112704813369 338114440107 1014343320321