Search a number
-
+
440280023296 = 2811323672
BaseRepresentation
bin1100110100000101011…
…11000000000100000000
31120002102212112120020111
412122002233000010000
524203143141221141
6534132320521104
743544356310161
oct6320257000400
91502385476214
10440280023296
1115a7a3660053
12713b4a80194
1332697715a59
1417449a23768
15b6bcc95381
hex6682bc0100

440280023296 has 81 divisors (see below), whose sum is σ = 889108998141. Its totient is φ = 217597341696.

The previous prime is 440280023213. The next prime is 440280023357. The reversal of 440280023296 is 692320082044.

The square root of 440280023296 is 663536.

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., 7758086400 + 432521936896 = 88080^2 + 657664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1199672905 + ... + 1199673271.

Almost surely, 2440280023296 is an apocalyptic number.

440280023296 is the 663536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440280023296

440280023296 is an abundant number, since it is smaller than the sum of its proper divisors (448828974845).

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

440280023296 is an frugal number, since it uses more digits than its factorization.

440280023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 440280023296 in words is "four hundred forty billion, two hundred eighty million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 367 452 734 904 1468 1808 2936 3616 5872 7232 11744 12769 14464 23488 25538 28928 41471 46976 51076 82942 93952 102152 134689 165884 204304 269378 331768 408608 538756 663536 817216 1077512 1327072 1634432 2155024 2654144 3268864 4310048 4686223 5308288 8620096 9372446 10616576 15219857 17240192 18744892 30439714 34480384 37489784 60879428 74979568 121758856 149959136 243517712 299918272 487035424 599836544 974070848 1199673088 1719843841 1948141696 3439687682 3896283392 6879375364 13758750728 27517501456 55035002912 110070005824 220140011648 440280023296