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424403440032205 = 522922815760121
BaseRepresentation
bin110000001111111100010000…
…0010010001101100111001101
32001122200120110110000102202201
41200133320200102031213031
5421111411221122012310
64102344125423121501
7155252064611446654
oct14037704022154715
92048616413012681
10424403440032205
111132565407a5817
123b724291443291
13152a70c386975a
1476b3343bd619b
15340ea9287be3a
hex181fe2048d9cd

424403440032205 has 24 divisors (see below), whose sum is σ = 513338224878504. Its totient is φ = 336837071692800.

The previous prime is 424403440032193. The next prime is 424403440032251. The reversal of 424403440032205 is 502230044304424.

It can be written as a sum of positive squares in 12 ways, for example, as 110161271859076 + 314242168173129 = 10495774^2 + 17726877^2 .

It is a de Polignac number, because none of the positive numbers 2k-424403440032205 is a prime.

It is a super-2 number, since 2×4244034400322052 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70799545 + ... + 76559665.

It is an arithmetic number, because the mean of its divisors is an integer number (21389092703271).

Almost surely, 2424403440032205 is an apocalyptic number.

It is an amenable number.

424403440032205 is a deficient number, since it is larger than the sum of its proper divisors (88934784846299).

424403440032205 is an equidigital number, since it uses as much as digits as its factorization.

424403440032205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760865 (or 5760636 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 37.

Adding to 424403440032205 its reverse (502230044304424), we get a palindrome (926633484336629).

The spelling of 424403440032205 in words is "four hundred twenty-four trillion, four hundred three billion, four hundred forty million, thirty-two thousand, two hundred five".

Divisors: 1 5 229 281 1145 1405 52441 64349 262205 321745 5760121 14735921 28800605 73679605 1319067709 1618594001 6595338545 8092970005 302066505361 370658026229 1510332526805 1853290131145 84880688006441 424403440032205