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434140440405321 = 31353009320999723
BaseRepresentation
bin110001010110110010011001…
…0101110111010010101001001
32002221011102100202001100211110
41202231210302232322111021
5423400424110220432241
64135201210501320533
7160305416554152546
oct14255446256722511
92087142322040743
10434140440405321
1111636aa216554a1
12408373ab106149
1315832363665180
14792c71bc43bcd
15352cec85c9816
hex18ad932bba549

434140440405321 has 16 divisors (see below), whose sum is σ = 623382350867136. Its totient is φ = 267162831226176.

The previous prime is 434140440405319. The next prime is 434140440405401. The reversal of 434140440405321 is 123504044041434.

It is not a de Polignac number, because 434140440405321 - 21 = 434140440405319 is a prime.

It is a super-2 number, since 2×4341404404053212 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 434140440405321.

It is not an unprimeable number, because it can be changed into a prime (434140440405521) 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, 10173766 + ... + 31173488.

It is an arithmetic number, because the mean of its divisors is an integer number (38961396929196).

Almost surely, 2434140440405321 is an apocalyptic number.

It is an amenable number.

434140440405321 is a deficient number, since it is larger than the sum of its proper divisors (189241910461815).

434140440405321 is a wasteful number, since it uses less digits than its factorization.

434140440405321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21529832.

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 434140440405321 its reverse (123504044041434), we get a palindrome (557644484446755).

The spelling of 434140440405321 in words is "four hundred thirty-four trillion, one hundred forty billion, four hundred forty million, four hundred five thousand, three hundred twenty-one".

Divisors: 1 3 13 39 530093 1590279 6891209 20673627 20999723 62999169 272996399 818989197 11131806164239 33395418492717 144713480135107 434140440405321