Search a number
-
+
2340963893411 = 11131943472631621
BaseRepresentation
bin100010000100001100010…
…100100100000010100011
322021210102210120021101122
4202010030110210002203
5301323243224042121
64551231324322455
7331062160531163
oct42041424440243
98253383507348
102340963893411
118228850a8550
123198400a342b
1313c9a1050060
14814361cc5a3
1540d61ac15ab
hex2210c5240a3

2340963893411 has 128 divisors (see below), whose sum is σ = 3038700994560. Its totient is φ = 1771239052800.

The previous prime is 2340963893377. The next prime is 2340963893417. The reversal of 2340963893411 is 1143983690432.

It is a cyclic number.

2340963893411 is an astonishing number since 2340963893411 = 893411 + ... + 2340963.

It is not a de Polignac number, because 2340963893411 - 218 = 2340963631267 is a prime.

It is a super-2 number, since 2×23409638934112 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2340963893417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1444147181 + ... + 1444148801.

It is an arithmetic number, because the mean of its divisors is an integer number (23739851520).

Almost surely, 22340963893411 is an apocalyptic number.

2340963893411 is a deficient number, since it is larger than the sum of its proper divisors (697737101149).

2340963893411 is a wasteful number, since it uses less digits than its factorization.

2340963893411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017.

The product of its (nonzero) digits is 3359232, while the sum is 53.

The spelling of 2340963893411 in words is "two trillion, three hundred forty billion, nine hundred sixty-three million, eight hundred ninety-three thousand, four hundred eleven".

Divisors: 1 11 13 19 43 47 143 209 247 263 473 517 559 611 817 893 1621 2021 2717 2893 3419 4997 6149 6721 8987 9823 10621 11309 11609 12361 17831 21073 22231 26273 30799 37609 38399 54967 64961 69703 76187 116831 124399 127699 135971 147017 160693 214871 231803 234859 289003 338789 400387 422389 426323 499187 531523 714571 766733 838057 906139 990431 1324357 1447553 1617187 1767623 2363581 2583449 2793323 3053167 3276041 4404257 4689553 5491057 5542199 5846753 6909799 8100137 9967529 10098937 10894741 14567927 15923083 17216641 18331889 18818189 20037181 30726553 33584837 36036451 42588533 60964189 62244779 76007789 89101507 105301781 111088307 131286181 189383051 201650779 207000079 220408991 238314557 260483353 348305891 380706439 468473863 684692569 809182127 861598783 1158319591 1444147991 2621460127 2865316883 3831364801 4187770829 4527976583 4949183707 8901003397 9477586613 11200784179 16370376877 49807742413 54441020777 123208625969 180074145647 212814899401 2340963893411