Search a number
-
+
5711346424440 = 2332579200820901
BaseRepresentation
bin101001100011100011011…
…0001100101101001111000
3202012222222112220121101100
41103013012301211221320
51222033314141040230
620051431211051400
71126426326414246
oct123070661455170
922188875817340
105711346424440
111902194186838
12782a92440b60
1332576815c407
1415a605977796
159d872997660
hex531c6c65a78

5711346424440 has 96 divisors (see below), whose sum is σ = 18796836427200. Its totient is φ = 1503746899200.

The previous prime is 5711346424429. The next prime is 5711346424481. The reversal of 5711346424440 is 444246431175.

5711346424440 is a `hidden beast` number, since 5 + 71 + 134 + 6 + 4 + 2 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100382011 + ... + 100438890.

It is an arithmetic number, because the mean of its divisors is an integer number (195800379450).

Almost surely, 25711346424440 is an apocalyptic number.

It is an amenable number.

5711346424440 is an abundant number, since it is smaller than the sum of its proper divisors (13085490002760).

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

5711346424440 is a wasteful number, since it uses less digits than its factorization.

5711346424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200820997 (or 200820990 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 5711346424440 in words is "five trillion, seven hundred eleven billion, three hundred forty-six million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 14220 28440 200820901 401641802 602462703 803283604 1004104505 1204925406 1606567208 1807388109 2008209010 2409850812 3012313515 3614776218 4016418020 4819701624 6024627030 7229552436 8032836040 9036940545 12049254060 14459104872 15864851179 18073881090 24098508120 31729702358 36147762180 47594553537 63459404716 72295524360 79324255895 95189107074 126918809432 142783660611 158648511790 190378214148 237972767685 285567321222 317297023580 380756428296 475945535370 571134642444 634594047160 713918303055 951891070740 1142269284888 1427836606110 1903782141480 2855673212220 5711346424440