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40514535405 = 32517299371949
BaseRepresentation
bin100101101110110110…
…101011111111101101
310212120112020122101100
4211232312223333231
51130433210113110
630340115033313
72632662604011
oct455666537755
9125515218340
1040514535405
1116200443113
127a2829b839
133a88856696
141d64a68541
1510c1c71bc0
hex96edabfed

40514535405 has 96 divisors (see below), whose sum is σ = 77041692000. Its totient is φ = 19604422656.

The previous prime is 40514535403. The next prime is 40514535461. The reversal of 40514535405 is 50453541504.

40514535405 is a `hidden beast` number, since 40 + 514 + 53 + 54 + 0 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6630193476 + 33884341929 = 81426^2 + 184077^2 .

It is not a de Polignac number, because 40514535405 - 21 = 40514535403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40514535405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40514535403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20786371 + ... + 20788319.

It is an arithmetic number, because the mean of its divisors is an integer number (802517625).

Almost surely, 240514535405 is an apocalyptic number.

40514535405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40514535405 is a deficient number, since it is larger than the sum of its proper divisors (36527156595).

40514535405 is a wasteful number, since it uses less digits than its factorization.

40514535405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 40514535405 in words is "forty billion, five hundred fourteen million, five hundred thirty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 435 493 765 937 1305 1479 1949 2465 2811 4437 4685 5847 7395 8433 9745 14055 15929 17541 22185 27173 29235 33133 42165 47787 56521 79645 81519 87705 99399 135865 143361 165665 169563 238935 244557 282605 298197 407595 461941 496995 508689 716805 847815 960857 1222785 1385823 1490985 1826213 2309705 2543445 2882571 4157469 4804285 5478639 6929115 8647713 9131065 14412855 16435917 20787345 27393195 31045621 43238565 52960177 82179585 93136863 155228105 158880531 264800885 279410589 465684315 476641593 794402655 900323009 1397052945 2383207965 2700969027 4501615045 8102907081 13504845135 40514535405