Search a number
-
+
434205444088 = 23134788830901
BaseRepresentation
bin1100101000110001010…
…10010100011111111000
31112111202112010222010101
412110120222110133320
524103223043202323
6531245441325144
743241005243543
oct6243052243770
91474675128111
10434205444088
11158166720859
127019a6367b4
1331c3a0670a0
1417030d5d85a
15b464829dad
hex6518a947f8

434205444088 has 32 divisors (see below), whose sum is σ = 895415492160. Its totient is φ = 196138627200.

The previous prime is 434205444073. The next prime is 434205444089. The reversal of 434205444088 is 880444502434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434205444089) 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 7 ways as a sum of consecutive naturals, for example, 44410563 + ... + 44420338.

It is an arithmetic number, because the mean of its divisors is an integer number (27981734130).

Almost surely, 2434205444088 is an apocalyptic number.

It is an amenable number.

434205444088 is an abundant number, since it is smaller than the sum of its proper divisors (461210048072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434205444088 is a wasteful number, since it uses less digits than its factorization.

434205444088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88830967 (or 88830963 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 46.

The spelling of 434205444088 in words is "four hundred thirty-four billion, two hundred five million, four hundred forty-four thousand, eighty-eight".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 1222 2444 4888 88830901 177661802 355323604 710647208 1154801713 2309603426 4175052347 4619206852 8350104694 9238413704 16700209388 33400418776 54275680511 108551361022 217102722044 434205444088