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2024244420040 = 2352411187176903
BaseRepresentation
bin11101011101001110010…
…111101001110111001000
321011111221001222222221001
4131131032113221313020
5231131123032420130
64145531451024344
7266150443450303
oct35351627516710
97144831888831
102024244420040
11710528226467
1228838b43b0b4
13118b6839b34b
146dd8c751b3a
15379c669e6ca
hex1d74e5e9dc8

2024244420040 has 64 divisors (see below), whose sum is σ = 4577327314560. Its totient is φ = 805654164480.

The previous prime is 2024244420017. The next prime is 2024244420053. The reversal of 2024244420040 is 400244424202.

It is a junction number, because it is equal to n+sod(n) for n = 2024244419990 and 2024244420008.

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, 11354229 + ... + 11531131.

It is an arithmetic number, because the mean of its divisors is an integer number (71520739290).

Almost surely, 22024244420040 is an apocalyptic number.

2024244420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024244420040 is an abundant number, since it is smaller than the sum of its proper divisors (2553082894520).

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

2024244420040 is a wasteful number, since it uses less digits than its factorization.

2024244420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178342 (or 178338 counting only the distinct ones).

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

Adding to 2024244420040 its reverse (400244424202), we get a palindrome (2424488844242).

The spelling of 2024244420040 in words is "two trillion, twenty-four billion, two hundred forty-four million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1187 1205 1928 2374 2410 4748 4820 5935 9496 9640 11870 23740 47480 176903 286067 353806 572134 707612 884515 1144268 1415224 1430335 1769030 2288536 2860670 3538060 5721340 7076120 11442680 42633623 85267246 170534492 209983861 213168115 341068984 419967722 426336230 839935444 852672460 1049919305 1679870888 1705344920 2099838610 4199677220 8399354440 50606110501 101212221002 202424442004 253030552505 404848884008 506061105010 1012122210020 2024244420040