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434044234110201 = 311135899117151059
BaseRepresentation
bin110001010110000101100110…
…0011001000001010011111001
32002220211020000221221012022220
41202230023030121001103321
5423342340042413011301
64135045100214434253
7160265442514144251
oct14254131431012371
92086736027835286
10434044234110201
11116333142710a90
124082081b962989
1315826270ac7720
147927bd2996961
15352a747465936
hex18ac2cc6414f9

434044234110201 has 32 divisors (see below), whose sum is σ = 679913022781440. Its totient is φ = 242817818740800.

The previous prime is 434044234110187. The next prime is 434044234110203. The reversal of 434044234110201 is 102011432440434.

It is a happy number.

It is not a de Polignac number, because 434044234110201 - 25 = 434044234110169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (434044234110203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16731610 + ... + 33882668.

It is an arithmetic number, because the mean of its divisors is an integer number (21247281961920).

Almost surely, 2434044234110201 is an apocalyptic number.

It is an amenable number.

434044234110201 is a deficient number, since it is larger than the sum of its proper divisors (245868788671239).

434044234110201 is a wasteful number, since it uses less digits than its factorization.

434044234110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17210077.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 434044234110201 its reverse (102011432440434), we get a palindrome (536055666550635).

The spelling of 434044234110201 in words is "four hundred thirty-four trillion, forty-four billion, two hundred thirty-four million, one hundred ten thousand, two hundred one".

Divisors: 1 3 11 13 33 39 143 429 58991 176973 648901 766883 1946703 2300649 8435713 17151059 25307139 51453177 188661649 222963767 565984947 668891301 2452601437 7357804311 1011758121469 3035274364407 11129339336159 13152855579097 33388018008477 39458566737291 144681411370067 434044234110201