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4244040404424 = 2332101583613917
BaseRepresentation
bin111101110000100100100…
…001010100110111001000
3120000201121110202201211100
4331300210201110313020
51024013243320420144
613005404002501400
7615423164135502
oct75604441246710
916021543681740
104244040404424
111396984191517
12586634664860
1324a2992974c2
141095ac45cd72
15755e59bd269
hex3dc24854dc8

4244040404424 has 48 divisors (see below), whose sum is σ = 11608080829020. Its totient is φ = 1400673398400.

The previous prime is 4244040404377. The next prime is 4244040404467.

4244040404424 is a `hidden beast` number, since 4 + 244 + 0 + 4 + 0 + 404 + 4 + 2 + 4 = 666.

4244040404424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3194477036100 + 1049563368324 = 1787310^2 + 1024482^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 291799687 + ... + 291814230.

Almost surely, 24244040404424 is an apocalyptic number.

It is an amenable number.

4244040404424 is an abundant number, since it is smaller than the sum of its proper divisors (7364040424596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4244040404424 is a wasteful number, since it uses less digits than its factorization.

4244040404424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583614030 (or 583614023 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 4244040 and 404424, that added together give a palindrome (4648464).

The spelling of 4244040404424 in words is "four trillion, two hundred forty-four billion, forty million, four hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 583613917 1167227834 1750841751 2334455668 3501683502 4668911336 5252525253 7003367004 10505050506 14006734008 21010101012 42020202024 58945005617 117890011234 176835016851 235780022468 353670033702 471560044936 530505050553 707340067404 1061010101106 1414680134808 2122020202212 4244040404424