Search a number
-
+
10014432024033 = 333701100217479
BaseRepresentation
bin1001000110111010101010…
…1010011101010111100001
31022110100222222122000222000
42101232222222131113201
52303034024044232113
633144322213234213
72052342650463153
oct221565252352741
938410888560860
1010014432024033
113211107890308
121158a45032969
1357848410c008
142689b5b44ad3
15125771e63373
hex91baaa9d5e1

10014432024033 has 16 divisors (see below), whose sum is σ = 14840204438400. Its totient is φ = 6674484034800.

The previous prime is 10014432023971. The next prime is 10014432024067. The reversal of 10014432024033 is 33042023441001.

10014432024033 is a `hidden beast` number, since 1 + 0 + 0 + 14 + 43 + 202 + 403 + 3 = 666.

It is not a de Polignac number, because 10014432024033 - 28 = 10014432023777 is a prime.

It is a super-3 number, since 3×100144320240333 (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10014432023988 and 10014432024006.

It is not an unprimeable number, because it can be changed into a prime (10014432024073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50008813 + ... + 50208666.

It is an arithmetic number, because the mean of its divisors is an integer number (927512777400).

Almost surely, 210014432024033 is an apocalyptic number.

It is an amenable number.

10014432024033 is a deficient number, since it is larger than the sum of its proper divisors (4825772414367).

10014432024033 is a wasteful number, since it uses less digits than its factorization.

10014432024033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100221189 (or 100221183 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10014432024033 its reverse (33042023441001), we get a palindrome (43056455465034).

The spelling of 10014432024033 in words is "ten trillion, fourteen billion, four hundred thirty-two million, twenty-four thousand, thirty-three".

Divisors: 1 3 9 27 3701 11103 33309 99927 100217479 300652437 901957311 2705871933 370904889779 1112714669337 3338144008011 10014432024033