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420024442024 = 231128133435081
BaseRepresentation
bin1100001110010110110…
…10000101110010101000
31111011011020002102101201
412013023122011302220
523340202224121044
6520542341253544
742226411564315
oct6071332056250
91434136072351
10420024442024
11152149936040
12694a14042b4
13307ba0c31c5
141648780bd0c
15add48917d4
hex61cb685ca8

420024442024 has 64 divisors (see below), whose sum is σ = 862625998080. Its totient is φ = 190146432000.

The previous prime is 420024441983. The next prime is 420024442043. The reversal of 420024442024 is 420244420024.

It is a junction number, because it is equal to n+sod(n) for n = 420024441983 and 420024442001.

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, 82663164 + ... + 82668244.

It is an arithmetic number, because the mean of its divisors is an integer number (13478531220).

Almost surely, 2420024442024 is an apocalyptic number.

420024442024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420024442024 is an abundant number, since it is smaller than the sum of its proper divisors (442601556056).

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

420024442024 is a wasteful number, since it uses less digits than its factorization.

420024442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 420024442024 its reverse (420244420024), we get a palindrome (840268862048).

The spelling of 420024442024 in words is "four hundred twenty billion, twenty-four million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 281 562 1124 2248 3091 3343 5081 6182 6686 10162 12364 13372 20324 24728 26744 36773 40648 55891 73546 111782 147092 223564 294184 447128 939383 1427761 1878766 2855522 3757532 5711044 7515064 10333213 11422088 15705371 16985783 20666426 31410742 33971566 41332852 62821484 67943132 82665704 125642968 135886264 186843613 373687226 747374452 1494748904 4773005023 9546010046 19092020092 38184040184 52503055253 105006110506 210012221012 420024442024