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400024420240 = 24534331456541
BaseRepresentation
bin1011101001000110101…
…00000011111110010000
31102020112101112001021011
411310203110003332100
523023222222421430
6503434011340304
740620656320024
oct5644324037620
91366471461234
10400024420240
111447163a1715
126563b451694
132b95070b6a3
141550b51c384
15a613b1e22a
hex5d23503f90

400024420240 has 40 divisors (see below), whose sum is σ = 930328332408. Its totient is φ = 159963048960.

The previous prime is 400024420193. The next prime is 400024420261. The reversal of 400024420240 is 42024420004.

It can be written as a sum of positive squares in 4 ways, for example, as 2554695936 + 397469724304 = 50544^2 + 630452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453631 + ... + 1002910.

Almost surely, 2400024420240 is an apocalyptic number.

400024420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400024420240 is an abundant number, since it is smaller than the sum of its proper divisors (530303912168).

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

400024420240 is a wasteful number, since it uses less digits than its factorization.

400024420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459987 (or 1459981 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 400024420240 its reverse (42024420004), we get a palindrome (442048840244).

The spelling of 400024420240 in words is "four hundred billion, twenty-four million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3433 6866 13732 17165 27464 34330 54928 68660 137320 274640 1456541 2913082 5826164 7282705 11652328 14565410 23304656 29130820 58261640 116523280 5000305253 10000610506 20001221012 25001526265 40002442024 50003052530 80004884048 100006105060 200012210120 400024420240