Search a number
-
+
400224351423221 = 13298821120349513
BaseRepresentation
bin101101100000000000111111…
…0010011000000101011110101
31221111002002000012001021100222
41123000001332103000223311
5404424233432431020341
63535112310120344125
7150205153345362323
oct13300017623005365
91844062005037328
10400224351423221
11106584215607556
1238a7a1b1615045
1314241cc08ca1a0
1470b8d678c2d13
153140b4935e44b
hex16c007e4c0af5

400224351423221 has 16 divisors (see below), whose sum is σ = 445923833253360. Its totient is φ = 356658185802240.

The previous prime is 400224351423209. The next prime is 400224351423289. The reversal of 400224351423221 is 122324153422004.

It can be written as a sum of positive squares in 8 ways, for example, as 14796716222500 + 385427635200721 = 3846650^2 + 19632311^2 .

It is a cyclic number.

It is not a de Polignac number, because 400224351423221 - 226 = 400224284314357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400224351423521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56849240 + ... + 63500273.

It is an arithmetic number, because the mean of its divisors is an integer number (27870239578335).

Almost surely, 2400224351423221 is an apocalyptic number.

It is an amenable number.

400224351423221 is a deficient number, since it is larger than the sum of its proper divisors (45699481830139).

400224351423221 is a wasteful number, since it uses less digits than its factorization.

400224351423221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120358376.

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 400224351423221 in words is "four hundred trillion, two hundred twenty-four billion, three hundred fifty-one million, four hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 13 29 377 8821 114673 255809 3325517 120349513 1564543669 3490135877 45371766401 1061603054173 13800839704249 30786488571017 400224351423221