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2042024420256 = 25352067408533
BaseRepresentation
bin11101101101110010001…
…000111110001110100000
321020012211012012120222120
4131231302020332032200
5231424031222422011
64202032034104240
7300350161116522
oct35556210761640
97205735176876
102042024420256
11718021605817
1228b911a1b080
1311a73cb61332
1470b97c71a12
15381b759ca06
hex1db7223e3a0

2042024420256 has 48 divisors (see below), whose sum is σ = 5360430174624. Its totient is φ = 680660067584.

The previous prime is 2042024420251. The next prime is 2042024420279. The reversal of 2042024420256 is 6520244202402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2042024420251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4794166 + ... + 5202698.

It is an arithmetic number, because the mean of its divisors is an integer number (111675628638).

Almost surely, 22042024420256 is an apocalyptic number.

It is an amenable number.

2042024420256 is an abundant number, since it is smaller than the sum of its proper divisors (3318405754368).

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

2042024420256 is a wasteful number, since it uses less digits than its factorization.

2042024420256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460613 (or 460605 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 2042024420256 its reverse (6520244202402), we get a palindrome (8562268622658).

The spelling of 2042024420256 in words is "two trillion, forty-two billion, twenty-four million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 52067 104134 156201 208268 312402 408533 416536 624804 817066 833072 1225599 1249608 1634132 1666144 2451198 2499216 3268264 4902396 4998432 6536528 9804792 13073056 19609584 39219168 21271087711 42542175422 63813263133 85084350844 127626526266 170168701688 255253052532 340337403376 510506105064 680674806752 1021012210128 2042024420256