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4040405525776 = 2479263612
BaseRepresentation
bin111010110010111010111…
…011111010010100010000
3112022020222210211002012211
4322302322323322110100
51012144222303311101
612332045304401504
7564624005211604
oct72627273722420
915266883732184
104040405525776
11131858764a184
12553083776294
13234015ba5779
14dd7b170d504
1570178397c51
hex3acbaefa510

4040405525776 has 45 divisors (see below), whose sum is σ = 7929878902533. Its totient is φ = 1994317004160.

The previous prime is 4040405525747. The next prime is 4040405525791. The reversal of 4040405525776 is 6775255040404.

The square root of 4040405525776 is 2010076.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 997753263376 + 3042652262400 = 998876^2 + 1744320^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 635180836 + ... + 635187196.

Almost surely, 24040405525776 is an apocalyptic number.

4040405525776 is the 2010076-th square number.

It is an amenable number.

4040405525776 is a deficient number, since it is larger than the sum of its proper divisors (3889473376757).

4040405525776 is an frugal number, since it uses more digits than its factorization.

4040405525776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12888 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 49.

Multiplying 4040405525776 by its sum of digits (49), we get a square (197979870763024 = 140705322).

The spelling of 4040405525776 in words is "four trillion, forty billion, four hundred five million, five hundred twenty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 79 158 316 632 1264 6241 6361 12482 12722 24964 25444 49928 50888 99856 101776 502519 1005038 2010076 4020152 8040304 39699001 40462321 79398002 80924642 158796004 161849284 317592008 323698568 635184016 647397136 3196523359 6393046718 12786093436 25572186872 51144373744 252525345361 505050690722 1010101381444 2020202762888 4040405525776