Search a number
-
+
4013445144321 = 322930415056621
BaseRepresentation
bin111010011001110011111…
…110001101111100000001
3112012200101220002210121100
4322121303332031330001
51011224013424104241
612311430134045013
7562650624564444
oct72316376157401
915180356083540
104013445144321
111308102176598
125499ba7a9769
1323160a486c32
14dc374c6165b
156e5eb53b9b6
hex3a673f8df01

4013445144321 has 24 divisors (see below), whose sum is σ = 5999075208360. Its totient is φ = 2582516966400.

The previous prime is 4013445144301. The next prime is 4013445144343. The reversal of 4013445144321 is 1234415443104.

It is a happy number.

4013445144321 is a `hidden beast` number, since 4 + 0 + 134 + 4 + 514 + 4 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2595678654321 + 1417766490000 = 1611111^2 + 1190700^2 .

It is not a de Polignac number, because 4013445144321 - 26 = 4013445144257 is a prime.

It is a super-2 number, since 2×40134451443212 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013445144301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1734610 + ... + 3322011.

It is an arithmetic number, because the mean of its divisors is an integer number (249961467015).

Almost surely, 24013445144321 is an apocalyptic number.

It is an amenable number.

4013445144321 is a deficient number, since it is larger than the sum of its proper divisors (1985630064039).

4013445144321 is a wasteful number, since it uses less digits than its factorization.

4013445144321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059697 (or 5059694 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4013445144321 in words is "four trillion, thirteen billion, four hundred forty-five million, one hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 29 87 261 3041 9123 27369 88189 264567 793701 5056621 15169863 45509589 146642009 439926027 1319778081 15377184461 46131553383 138394660149 445938349369 1337815048107 4013445144321