Search a number
-
+
4013349201 = 3470392
BaseRepresentation
bin1110111100110110…
…1101100101010001
3101100200211021010000
43233031231211101
531204404133301
61502124000213
7201311622351
oct35715554521
911320737100
104013349201
11177a481724
12940090069
134bc616854
142a102ab61
15187510786
hexef36d951

4013349201 has 15 divisors (see below), whose sum is σ = 5996101881. Its totient is φ = 2675186028.

The previous prime is 4013349199. The next prime is 4013349203. The reversal of 4013349201 is 1029433104.

The square root of 4013349201 is 63351.

It is a perfect power (a square), and thus also a powerful number.

4013349201 is a `hidden beast` number, since 40 + 133 + 492 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4013349199) and next prime (4013349203).

It is not a de Polignac number, because 4013349201 - 21 = 4013349199 is a prime.

It is a super-2 number, since 2×40133492012 = 32213943618334676802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4013349203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 566640 + ... + 573678.

Almost surely, 24013349201 is an apocalyptic number.

4013349201 is the 63351-st square number.

4013349201 is the 31676-th centered octagonal number.

It is an amenable number.

4013349201 is a deficient number, since it is larger than the sum of its proper divisors (1982752680).

4013349201 is an frugal number, since it uses more digits than its factorization.

4013349201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14090 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 4013349201 is about 1589.1649691565.

The spelling of 4013349201 in words is "four billion, thirteen million, three hundred forty-nine thousand, two hundred one".

Divisors: 1 3 9 27 81 7039 21117 63351 190053 570159 49547521 148642563 445927689 1337783067 4013349201