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2024420414040 = 233255623390039
BaseRepresentation
bin11101011101011000110…
…111000001001001011000
321011112101100011102022100
4131131120313001021120
5231132003111222130
64150001135123400
7266155011412323
oct35353067011130
97145340142270
102024420414040
11710608602352
1228841a373560
13118b9599b9cb
146dda7c857ba
15379d6d65c60
hex1d758dc1258

2024420414040 has 48 divisors (see below), whose sum is σ = 6579366346800. Its totient is φ = 539845443648.

The previous prime is 2024420413933. The next prime is 2024420414053. The reversal of 2024420414040 is 404140244202.

2024420414040 is a `hidden beast` number, since 2 + 0 + 244 + 2 + 0 + 414 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2024420413995 and 2024420414013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2811694660 + ... + 2811695379.

It is an arithmetic number, because the mean of its divisors is an integer number (137070132225).

Almost surely, 22024420414040 is an apocalyptic number.

2024420414040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024420414040 is an abundant number, since it is smaller than the sum of its proper divisors (4554945932760).

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

2024420414040 is a wasteful number, since it uses less digits than its factorization.

2024420414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623390056 (or 5623390049 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2024420414040 its reverse (404140244202), we get a palindrome (2428560658242).

The spelling of 2024420414040 in words is "two trillion, twenty-four billion, four hundred twenty million, four hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5623390039 11246780078 16870170117 22493560156 28116950195 33740340234 44987120312 50610510351 56233900390 67480680468 84350850585 101221020702 112467800780 134961360936 168701701170 202442041404 224935601560 253052551755 337403402340 404884082808 506105103510 674806804680 1012210207020 2024420414040