Search a number
-
+
204444004234211 = 71943105134013519
BaseRepresentation
bin101110011111000011010100…
…001111111011001111100011
3222210212122201011121211200122
4232133003110033323033203
5203244102310040443321
62002452140131110455
761030410004122650
oct5637032417731743
9883778634554618
10204444004234211
115a162240600825
121ab1a74b44242b
138a0ccaa21cc51
14386b1dd42ac27
1518980cec398ab
hexb9f0d43fb3e3

204444004234211 has 32 divisors (see below), whose sum is σ = 251906850201600. Its totient is φ = 161999583530400.

The previous prime is 204444004234189. The next prime is 204444004234219. The reversal of 204444004234211 is 112432400444402.

It is not a de Polignac number, because 204444004234211 - 26 = 204444004234147 is a prime.

It is a super-3 number, since 3×2044440042342113 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204444004234219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10996091 + ... + 23017428.

It is an arithmetic number, because the mean of its divisors is an integer number (7872089068800).

Almost surely, 2204444004234211 is an apocalyptic number.

204444004234211 is a deficient number, since it is larger than the sum of its proper divisors (47462845967389).

204444004234211 is a wasteful number, since it uses less digits than its factorization.

204444004234211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34014639.

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 204444004234211 its reverse (112432400444402), we get a palindrome (316876404678613).

The spelling of 204444004234211 in words is "two hundred four trillion, four hundred forty-four billion, four million, two hundred thirty-four thousand, two hundred eleven".

Divisors: 1 7 19 43 133 301 817 1051 5719 7357 19969 45193 139783 316351 858667 6010669 34013519 238094633 646256861 1462581317 4523798027 10238069219 27789045023 35748208469 194523315161 250237459283 679215960911 1537172964167 4754511726377 10760210749169 29206286319173 204444004234211