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434433230030201 = 41137595312992201
BaseRepresentation
bin110001011000111010101111…
…0010110101100010101111001
32002222012102002202101101101012
41202301311132112230111321
5423420223223341431301
64135543512023203305
7160335523300000343
oct14261653626542571
92088172082341335
10434433230030201
11116473109779196
12408840a18a6535
1315853b5471030c
14793c975506293
153535912c65ebb
hex18b1d5e5ac579

434433230030201 has 16 divisors (see below), whose sum is σ = 448352887823568. Its totient is φ = 420672884736000.

The previous prime is 434433230030197. The next prime is 434433230030213. The reversal of 434433230030201 is 102030032334434.

It can be written as a sum of positive squares in 8 ways, for example, as 256225681716601 + 178207548313600 = 16007051^2 + 13349440^2 .

It is a cyclic number.

It is not a de Polignac number, because 434433230030201 - 22 = 434433230030197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434433230035201) 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, 26941901 + ... + 39934101.

It is an arithmetic number, because the mean of its divisors is an integer number (28022055488973).

Almost surely, 2434433230030201 is an apocalyptic number.

434433230030201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

434433230030201 is a deficient number, since it is larger than the sum of its proper divisors (13919657793367).

434433230030201 is a wasteful number, since it uses less digits than its factorization.

434433230030201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998332.

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 434433230030201 its reverse (102030032334434), we get a palindrome (536463262364635).

The spelling of 434433230030201 in words is "four hundred thirty-four trillion, four hundred thirty-three billion, two hundred thirty million, thirty thousand, two hundred one".

Divisors: 1 41 137 5617 5953 244073 815561 12992201 33438001 532680241 1779931537 72977193017 77342572553 3171045474673 10595932439761 434433230030201