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2314120341 = 3133747149229
BaseRepresentation
bin1000100111101110…
…1010110010010101
312222021102111022210
42021323222302111
514214403322331
61021343344033
7111226461351
oct21173526225
95867374283
102314120341
11a88295955
12546bb2019
132ab57a2a0
1417d4a6461
15d8260446
hex89eeac95

2314120341 has 64 divisors (see below), whose sum is σ = 3523968000. Its totient is φ = 1341121536.

The previous prime is 2314120331. The next prime is 2314120343. The reversal of 2314120341 is 1430214132.

It is not a de Polignac number, because 2314120341 - 219 = 2313596053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314120343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10105215 + ... + 10105443.

It is an arithmetic number, because the mean of its divisors is an integer number (55062000).

Almost surely, 22314120341 is an apocalyptic number.

It is an amenable number.

2314120341 is a deficient number, since it is larger than the sum of its proper divisors (1209847659).

2314120341 is a wasteful number, since it uses less digits than its factorization.

2314120341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2314120341 is about 48105.3047074852. The cubic root of 2314120341 is about 1322.7019077261.

Adding to 2314120341 its reverse (1430214132), we get a palindrome (3744334473).

The spelling of 2314120341 in words is "two billion, three hundred fourteen million, one hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 13 37 39 47 111 141 149 229 447 481 611 687 1443 1739 1833 1937 2977 5217 5513 5811 7003 8473 8931 10763 16539 21009 22607 25419 32289 34121 67821 71669 91039 102363 110149 139919 215007 259111 273117 330447 398231 419757 443573 777333 1194693 1262477 1330719 1603687 3368443 3787431 4811061 5177003 10105329 15531009 16412201 20847931 49236603 59336419 62543793 178009257 771373447 2314120341