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2440042452032 = 26103787470333
BaseRepresentation
bin100011100000011101110…
…111010001010001000000
322122021011202100112200212
4203200131313101101000
5304434201331431112
65104535013533252
7341200345426523
oct43403567212100
98567152315625
102440042452032
118608a8397049
12334a91344228
131491309998c3
1486154b10bba
154370ee96522
hex2381ddd1440

2440042452032 has 56 divisors (see below), whose sum is σ = 4895191119936. Its totient is φ = 1206638627328.

The previous prime is 2440042451971. The next prime is 2440042452073. The reversal of 2440042452032 is 2302542400442.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2440042452032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4952738 + ... + 5423070.

Almost surely, 22440042452032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440042452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447595559968).

2440042452032 is an abundant number, since it is smaller than the sum of its proper divisors (2455148667904).

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

2440042452032 is a wasteful number, since it uses less digits than its factorization.

2440042452032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471235 (or 471225 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 2440042452032 its reverse (2302542400442), we get a palindrome (4742584852474).

The spelling of 2440042452032 in words is "two trillion, four hundred forty billion, forty-two million, four hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 103 206 412 787 824 1574 1648 3148 3296 6296 6592 12592 25184 50368 81061 162122 324244 470333 648488 940666 1296976 1881332 2593952 3762664 5187904 7525328 15050656 30101312 48444299 96888598 193777196 370152071 387554392 740304142 775108784 1480608284 1550217568 2961216568 3100435136 5922433136 11844866272 23689732544 38125663313 76251326626 152502653252 305005306504 610010613008 1220021226016 2440042452032