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440042132024 = 231117832804531
BaseRepresentation
bin1100110011101001000…
…11100001001000111000
31120001211021220102202122
412121310203201020320
524202201241211044
6534052542020412
743535440256465
oct6316443411070
91501737812678
10440042132024
1115a6913478a0
1271349277708
133265a3529a1
14174261ba66c
15b6a6e53dee
hex66748e1238

440042132024 has 32 divisors (see below), whose sum is σ = 900591315840. Its totient is φ = 199906898400.

The previous prime is 440042131993. The next prime is 440042132029. The reversal of 440042132024 is 420231240044.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 440042131984 and 440042132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440042132029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1245362 + ... + 1559169.

It is an arithmetic number, because the mean of its divisors is an integer number (28143478620).

Almost surely, 2440042132024 is an apocalyptic number.

440042132024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440042132024 is an abundant number, since it is smaller than the sum of its proper divisors (460549183816).

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

440042132024 is a wasteful number, since it uses less digits than its factorization.

440042132024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806331 (or 2806327 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 440042132024 its reverse (420231240044), we get a palindrome (860273372068).

The spelling of 440042132024 in words is "four hundred forty billion, forty-two million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 1783 3566 7132 14264 19613 39226 78452 156904 2804531 5609062 11218124 22436248 30849841 61699682 123399364 246798728 5000478773 10000957546 20001915092 40003830184 55005266503 110010533006 220021066012 440042132024