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434220231200405 = 51310166141695537
BaseRepresentation
bin110001010111010111100011…
…0101000101000111010010101
32002221110001022111111201122012
41202232233012220220322111
5423403231013141403110
64135302004223114005
7160314243055551356
oct14256570650507225
92087401274451565
10434220231200405
111163a0847461851
124084a958a42905
1315839a3b33bca0
14793252acc1d2d
1535300e8521905
hex18aebc6a28e95

434220231200405 has 16 divisors (see below), whose sum is σ = 566702047369584. Its totient is φ = 317480138572800.

The previous prime is 434220231200389. The next prime is 434220231200453. The reversal of 434220231200405 is 504002132022434.

It can be written as a sum of positive squares in 8 ways, for example, as 5650656706321 + 428569574494084 = 2377111^2 + 20701922^2 .

It is not a de Polignac number, because 434220231200405 - 24 = 434220231200389 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33070841204 + ... + 33070854333.

It is an arithmetic number, because the mean of its divisors is an integer number (35418877960599).

Almost surely, 2434220231200405 is an apocalyptic number.

It is an amenable number.

434220231200405 is a deficient number, since it is larger than the sum of its proper divisors (132481816169179).

434220231200405 is a wasteful number, since it uses less digits than its factorization.

434220231200405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66141695656.

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 434220231200405 its reverse (504002132022434), we get a palindrome (938222363222839).

The spelling of 434220231200405 in words is "four hundred thirty-four trillion, two hundred twenty billion, two hundred thirty-one million, two hundred thousand, four hundred five".

Divisors: 1 5 13 65 101 505 1313 6565 66141695537 330708477685 859842041981 4299210209905 6680311249237 33401556246185 86844046240081 434220231200405