Search a number
-
+
21442023415305 = 3254603103517143
BaseRepresentation
bin1001110000000010111000…
…01100000101111000001001
32210220211121110220222121200
410320001130030011320021
510302301230443242210
6113334155104254413
74342064220556503
oct470013414057011
983824543828550
1021442023415305
116917569253219
1224a3736311409
13bc6c8822530c
14541b29a66d73
15272b524680c0
hex13805c305e09

21442023415305 has 24 divisors (see below), whose sum is σ = 37174248616128. Its totient is φ = 11433261299616.

The previous prime is 21442023415261. The next prime is 21442023415313. The reversal of 21442023415305 is 50351432024412.

It is a happy number.

21442023415305 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 0 + 2 + 341 + 5 + 305 = 666.

It is not a de Polignac number, because 21442023415305 - 211 = 21442023413257 is a prime.

It is a super-3 number, since 3×214420234153053 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21442023415305.

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 23 ways as a sum of consecutive naturals, for example, 51551437 + ... + 51965706.

It is an arithmetic number, because the mean of its divisors is an integer number (1548927025672).

Almost surely, 221442023415305 is an apocalyptic number.

It is an amenable number.

21442023415305 is a deficient number, since it is larger than the sum of its proper divisors (15732225200823).

21442023415305 is a wasteful number, since it uses less digits than its factorization.

21442023415305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103521757 (or 103521754 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 21442023415305 its reverse (50351432024412), we get a palindrome (71793455439717).

The spelling of 21442023415305 in words is "twenty-one trillion, four hundred forty-two billion, twenty-three million, four hundred fifteen thousand, three hundred five".

Divisors: 1 3 5 9 15 45 4603 13809 23015 41427 69045 207135 103517143 310551429 517585715 931654287 1552757145 4658271435 476489409229 1429468227687 2382447046145 4288404683061 7147341138435 21442023415305