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2024244505104 = 243199037211879
BaseRepresentation
bin11101011101001110010…
…111111110101000010000
321011111221002011022121120
4131131032113332220100
5231131123043130404
64145531452522240
7266150444253303
oct35351627765020
97144832138546
102024244505104
11710528284368
1228838b480380
13118b683cac93
146dd8c774b3a
15379c66b99d9
hex1d74e5fea10

2024244505104 has 40 divisors (see below), whose sum is σ = 5229349258560. Its totient is φ = 674741593728.

The previous prime is 2024244505061. The next prime is 2024244505117. The reversal of 2024244505104 is 4015054424202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9447837 + ... + 9659715.

It is an arithmetic number, because the mean of its divisors is an integer number (130733731464).

Almost surely, 22024244505104 is an apocalyptic number.

2024244505104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2024244505104 is an abundant number, since it is smaller than the sum of its proper divisors (3205104753456).

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

2024244505104 is a wasteful number, since it uses less digits than its factorization.

2024244505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410927 (or 410921 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 2024244505104 its reverse (4015054424202), we get a palindrome (6039298929306).

The spelling of 2024244505104 in words is "two trillion, twenty-four billion, two hundred forty-four million, five hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 199037 211879 398074 423758 597111 635637 796148 847516 1194222 1271274 1592296 1695032 2388444 2542548 3184592 3390064 4776888 5085096 9553776 10170192 42171760523 84343521046 126515281569 168687042092 253030563138 337374084184 506061126276 674748168368 1012122252552 2024244505104