Search a number
-
+
42422240440224 = 2532433425568511
BaseRepresentation
bin10011010010101001100101…
…00100100110111110100000
312120012112012212122122201200
421221110302210212332200
521030021222023041344
6230120301435201200
711635622444056311
oct1151246244467640
9176175185578650
1042422240440224
1112576197868167
12491186a5a6200
131a89528065468
14a69366bba608
154d8776db8069
hex269532926fa0

42422240440224 has 72 divisors (see below), whose sum is σ = 123443786898432. Its totient is φ = 13811892232320.

The previous prime is 42422240440219. The next prime is 42422240440231. The reversal of 42422240440224 is 42204404222424.

42422240440224 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 2 + 240 + 4 + 402 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1712771872 + ... + 1712796639.

It is an arithmetic number, because the mean of its divisors is an integer number (1714497040256).

Almost surely, 242422240440224 is an apocalyptic number.

It is an amenable number.

42422240440224 is an abundant number, since it is smaller than the sum of its proper divisors (81021546458208).

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

42422240440224 is a wasteful number, since it uses less digits than its factorization.

42422240440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425568570 (or 3425568559 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 42422240440224 its reverse (42204404222424), we get a palindrome (84626644662648).

The spelling of 42422240440224 in words is "forty-two trillion, four hundred twenty-two billion, two hundred forty million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 3425568511 6851137022 10276705533 13702274044 20553411066 27404548088 30830116599 41106822132 54809096176 61660233198 82213644264 109618192352 123320466396 147299445973 164427288528 246640932792 294598891946 328854577056 441898337919 493281865584 589197783892 883796675838 986563731168 1178395567784 1325695013757 1767593351676 2356791135568 2651390027514 3535186703352 4713582271136 5302780055028 7070373406704 10605560110056 14140746813408 21211120220112 42422240440224