Search a number
-
+
1014856774801 = 10074012
BaseRepresentation
bin11101100010010100010…
…11010111010010010001
310121000112010001210010121
432301022023113102101
5113111411313243201
62054115130430241
7133215045153202
oct16611213272221
93530463053117
101014856774801
11361442212781
12144829592381
137491524854c
14371956275a9
151b5eabd89a1
hexec4a2d7491

1014856774801 has 3 divisors (see below), whose sum is σ = 1014857782203. Its totient is φ = 1014855767400.

The previous prime is 1014856774753. The next prime is 1014856774807. The reversal of 1014856774801 is 1084776584101.

The square root of 1014856774801 is 1007401.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 731108792401 + 283747982400 = 855049^2 + 532680^2 .

It is a de Polignac number, because none of the positive numbers 2k-1014856774801 is a prime.

It is a super-3 number, since 3×10148567748013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014856774807) 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 2 ways as a sum of consecutive naturals, for example, 503701 + ... + 1511101.

It is an arithmetic number, because the mean of its divisors is an integer number (338285927401).

Almost surely, 21014856774801 is an apocalyptic number.

1014856774801 is the 1007401-st square number.

1014856774801 is the 503701-st centered octagonal number.

It is an amenable number.

1014856774801 is a deficient number, since it is larger than the sum of its proper divisors (1007402).

1014856774801 is an frugal number, since it uses more digits than its factorization.

1014856774801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014802 (or 1007401 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 52.

The spelling of 1014856774801 in words is "one trillion, fourteen billion, eight hundred fifty-six million, seven hundred seventy-four thousand, eight hundred one".

Divisors: 1 1007401 1014856774801