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40286912656 = 241941392
BaseRepresentation
bin100101100001010010…
…011000000010010000
310211222122221012200011
4211201102120002100
51130001422201111
630301344204304
72624230051564
oct454122300220
9124878835604
1040286912656
11160a3a03841
127984009694
133a5064a473
141d427356a4
1510abcad021
hex961498090

40286912656 has 75 divisors (see below), whose sum is σ = 82989313251. Its totient is φ = 18945984672.

The previous prime is 40286912621. The next prime is 40286912669. The reversal of 40286912656 is 65621968204.

The square root of 40286912656 is 200716.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 289833835 + ... + 289833973.

Almost surely, 240286912656 is an apocalyptic number.

40286912656 is the 200716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40286912656

40286912656 is an abundant number, since it is smaller than the sum of its proper divisors (42702400595).

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

40286912656 is an frugal number, since it uses more digits than its factorization.

40286912656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 40286912656 by its sum of digits (49), we get a square (1974058720144 = 14050122).

The spelling of 40286912656 in words is "forty billion, two hundred eighty-six million, nine hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 139 152 278 304 361 556 722 1112 1444 2224 2641 2888 5282 5776 6859 10564 13718 19321 21128 27436 38642 42256 50179 54872 77284 100358 109744 130321 154568 200716 260642 309136 367099 401432 521284 734198 802864 953401 1042568 1468396 1906802 2085136 2936792 3813604 5873584 6974881 7627208 13949762 15254416 18114619 27899524 36229238 55799048 72458476 111598096 132522739 144916952 265045478 289833904 530090956 1060181912 2120363824 2517932041 5035864082 10071728164 20143456328 40286912656