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540312715107 = 34114191447283
BaseRepresentation
bin1111101110011010010…
…01011011111101100011
31220122122022200211020000
413313031021123331203
532323030023340412
61052114412351043
754015311205114
oct7671511337543
91818568624200
10540312715107
11199166494a80
1288871775483
133bc49c30759
141c21915420b
15e0c4cdb4dc
hex7dcd25bf63

540312715107 has 40 divisors (see below), whose sum is σ = 882611674560. Its totient is φ = 326680493040.

The previous prime is 540312715093. The next prime is 540312715121. The reversal of 540312715107 is 701517213045.

540312715107 is a `hidden beast` number, since 5 + 40 + 31 + 2 + 71 + 510 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (540312715093) and next prime (540312715121).

It is not a de Polignac number, because 540312715107 - 26 = 540312715043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540312715177) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 350313 + ... + 1096970.

It is an arithmetic number, because the mean of its divisors is an integer number (22065291864).

Almost surely, 2540312715107 is an apocalyptic number.

540312715107 is a deficient number, since it is larger than the sum of its proper divisors (342298959453).

540312715107 is a wasteful number, since it uses less digits than its factorization.

540312715107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447725 (or 1447716 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 540312715107 in words is "five hundred forty billion, three hundred twelve million, seven hundred fifteen thousand, one hundred seven".

Divisors: 1 3 9 11 27 33 81 99 297 419 891 1257 3771 4609 11313 13827 33939 41481 124443 373329 1447283 4341849 13025547 15920113 39076641 47760339 117229923 143281017 429843051 606411577 1289529153 1819234731 5457704193 6670527347 16373112579 20011582041 49119337737 60034746123 180104238369 540312715107