Search a number
-
+
230440410312411 = 313318232281101533
BaseRepresentation
bin110100011001010110010110…
…110011000110111011011011
31010012220212222102000202100210
4310121112112303012323123
5220201013430014444121
62134034510230102203
766352525121630655
oct6431262663067333
91105825872022323
10230440410312411
1167475258063602
1221a18a8b1aa963
139b7758c101110
1440c953802b6d5
151b9943d297876
hexd19596cc6edb

230440410312411 has 64 divisors (see below), whose sum is σ = 342130941845504. Its totient is φ = 137006793446400.

The previous prime is 230440410312401. The next prime is 230440410312523. The reversal of 230440410312411 is 114213014044032.

It is a happy number.

It is not a de Polignac number, because 230440410312411 - 27 = 230440410312283 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230440410312401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2269560201 + ... + 2269661733.

It is an arithmetic number, because the mean of its divisors is an integer number (5345795966336).

Almost surely, 2230440410312411 is an apocalyptic number.

230440410312411 is a deficient number, since it is larger than the sum of its proper divisors (111690531533093).

230440410312411 is a wasteful number, since it uses less digits than its factorization.

230440410312411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104684.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 230440410312411 its reverse (114213014044032), we get a palindrome (344653424356443).

The spelling of 230440410312411 in words is "two hundred thirty trillion, four hundred forty billion, four hundred ten million, three hundred twelve thousand, four hundred eleven".

Divisors: 1 3 13 31 39 93 403 823 1209 2281 2469 6843 10699 25513 29653 32097 70711 76539 88959 101533 212133 304599 331669 919243 995007 1319929 1877263 2757729 3147523 3959787 5631789 9442569 24404419 40917799 58195153 73213257 83561659 122753397 174585459 231596773 250684977 694790319 756536989 1086301567 2269610967 2590411429 3010758049 3258904701 7179499963 7771234287 9032274147 21538499889 33675348577 93333499519 101026045731 190604144179 280000498557 571812432537 2477853874327 5908728469549 7433561622981 17726185408647 76813470104137 230440410312411