Search a number
-
+
1340205054021 = 331711331818123
BaseRepresentation
bin10011100000001010011…
…100100011100001000101
311202010022012020210222000
4103200022130203201011
5133424214443212041
62503403125255513
7165553346666331
oct23401234434105
94663265223860
101340205054021
114774178a5369
121978a7b64599
13994c47b3532
1448c1b0927c1
1524cdd913bb6
hex1380a723845

1340205054021 has 64 divisors (see below), whose sum is σ = 2121814621440. Its totient is φ = 833106677760.

The previous prime is 1340205053951. The next prime is 1340205054031. The reversal of 1340205054021 is 1204505020431.

1340205054021 is a `hidden beast` number, since 1 + 34 + 0 + 20 + 50 + 540 + 21 = 666.

It is not a de Polignac number, because 1340205054021 - 219 = 1340204529733 is a prime.

It is a super-2 number, since 2×13402050540212 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340205054031) 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, 164984866 + ... + 164992988.

It is an arithmetic number, because the mean of its divisors is an integer number (33153353460).

Almost surely, 21340205054021 is an apocalyptic number.

It is an amenable number.

1340205054021 is a deficient number, since it is larger than the sum of its proper divisors (781609567419).

1340205054021 is a wasteful number, since it uses less digits than its factorization.

1340205054021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11443 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1340205054021 in words is "one trillion, three hundred forty billion, two hundred five million, fifty-four thousand, twenty-one".

Divisors: 1 3 9 17 27 51 113 153 339 459 1017 1921 3051 3181 5763 8123 9543 17289 24369 28629 51867 54077 73107 85887 138091 162231 219321 359453 414273 486693 917899 1078359 1242819 1460079 2753697 3235077 3728457 6110701 8261091 9705231 15604283 18332103 24783273 25839263 46812849 54996309 77517789 140438547 164988927 232553367 421315641 439267471 697660101 1317802413 2919836719 3953407239 8759510157 11860221717 26278530471 49637224223 78835591413 148911672669 446735018007 1340205054021