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540315334405 = 57111791190619
BaseRepresentation
bin1111101110011010100…
…11011011011100000101
31220122122111121220020001
413313031103123130011
532323031211200110
61052114544441301
754015342364420
oct7671523333405
91818574556201
10540315334405
11199167a13990
1288872619231
133bc4a639a32
141c2196369b7
15e0c515763a
hex7dcd4db705

540315334405 has 64 divisors (see below), whose sum is σ = 856867921920. Its totient is φ = 316655539200.

The previous prime is 540315334387. The next prime is 540315334411. The reversal of 540315334405 is 504433513045.

It is not a de Polignac number, because 540315334405 - 29 = 540315333893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5917186 + ... + 6007804.

It is an arithmetic number, because the mean of its divisors is an integer number (13388561280).

Almost surely, 2540315334405 is an apocalyptic number.

540315334405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540315334405 is a deficient number, since it is larger than the sum of its proper divisors (316552587515).

540315334405 is a wasteful number, since it uses less digits than its factorization.

540315334405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91570.

The product of its (nonzero) digits is 216000, while the sum is 37.

The spelling of 540315334405 in words is "five hundred forty billion, three hundred fifteen million, three hundred thirty-four thousand, four hundred five".

Divisors: 1 5 7 11 17 35 55 77 85 119 187 385 595 911 935 1309 4555 6377 6545 10021 15487 31885 50105 70147 77435 90619 108409 170357 350735 453095 542045 634333 851785 996809 1192499 1540523 3171665 4984045 5962495 6977663 7702615 10783661 16945753 34888315 53918305 82553909 84728765 118620271 412769545 577877363 593101355 908092999 1403416453 2889386815 4540464995 6356650993 7017082265 9823915171 15437580983 31783254965 49119575855 77187904915 108063066881 540315334405