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4024442421405 = 335710739800647
BaseRepresentation
bin111010100100000011011…
…101100000000010011101
3112020201210022102100201000
4322210003131200002131
51011414024224441110
612320445303540513
7563520302106660
oct72440335400235
915221708370630
104024442421405
11131183591463a
1254bb6975a739
1323267096a093
14dcad96236d7
156ea41c3e1c0
hex3a90376009d

4024442421405 has 64 divisors (see below), whose sum is σ = 8253062369280. Its totient is φ = 1822551181632.

The previous prime is 4024442421379. The next prime is 4024442421451. The reversal of 4024442421405 is 5041242444204.

4024442421405 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 4 + 4 + 242 + 1 + 405 = 666.

It is not a de Polignac number, because 4024442421405 - 220 = 4024441372829 is a prime.

It is a super-2 number, since 2×40244424214052 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4024442421405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19799209 + ... + 20001438.

It is an arithmetic number, because the mean of its divisors is an integer number (128954099520).

Almost surely, 24024442421405 is an apocalyptic number.

4024442421405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4024442421405 is an abundant number, since it is smaller than the sum of its proper divisors (4228619947875).

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

4024442421405 is a wasteful number, since it uses less digits than its factorization.

4024442421405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39800775 (or 39800769 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 4024442421405 its reverse (5041242444204), we get a palindrome (9065684865609).

The spelling of 4024442421405 in words is "four trillion, twenty-four billion, four hundred forty-two million, four hundred twenty-one thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 107 135 189 315 321 535 749 945 963 1605 2247 2889 3745 4815 6741 11235 14445 20223 33705 101115 39800647 119401941 199003235 278604529 358205823 597009705 835813587 1074617469 1393022645 1791029115 2507440761 4179067935 4258669229 5373087345 7522322283 12537203805 12776007687 21293346145 29810684603 37611611415 38328023061 63880038435 89432053809 114984069183 149053423015 191640115305 268296161427 447160269045 574920345915 804888484281 1341480807135 4024442421405