Search a number
-
+
5340404331405 = 3351113276633221
BaseRepresentation
bin100110110110110100011…
…1001110011001110001101
3200220112111221220212002000
41031231220321303032031
51144444122002101110
615205203050422513
71060555124560203
oct115555071631615
920815457825060
105340404331405
111779942025a90
1272300a731a39
132c97a0972380
14146696a67073
1593db21341c0
hex4db68e7338d

5340404331405 has 64 divisors (see below), whose sum is σ = 11153851511040. Its totient is φ = 2390111020800.

The previous prime is 5340404331349. The next prime is 5340404331497. The reversal of 5340404331405 is 5041334040435.

5340404331405 is a `hidden beast` number, since 5 + 3 + 40 + 40 + 433 + 140 + 5 = 666.

It is not a de Polignac number, because 5340404331405 - 219 = 5340403807117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5340404331405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138297306 + ... + 138335915.

It is an arithmetic number, because the mean of its divisors is an integer number (174278929860).

Almost surely, 25340404331405 is an apocalyptic number.

5340404331405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5340404331405 is an abundant number, since it is smaller than the sum of its proper divisors (5813447179635).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5340404331405 is a wasteful number, since it uses less digits than its factorization.

5340404331405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276633259 (or 276633253 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 5340404331405 in words is "five trillion, three hundred forty billion, four hundred four million, three hundred thirty-one thousand, four hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 715 1287 1485 1755 2145 3861 6435 19305 276633221 829899663 1383166105 2489698989 3042965431 3596231873 4149498315 7469096967 9128896293 10788695619 12448494945 15214827155 17981159365 27386688879 32366086857 37345484835 39558550603 45644481465 53943478095 82160066637 97098260571 118675651809 136933444395 161830434285 197792753015 356026955427 410800333185 485491302855 593378259045 1068080866281 1780134777135 5340404331405