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5414315040 = 2532517221173
BaseRepresentation
bin1010000101011011…
…11110010000100000
3111222022222200221200
411002231332100200
542042031040130
62253131321200
7251112630021
oct50255762040
914868880850
105414315040
112329270032
1210712b0200
13683942b14
14395110c48
1521a4e6760
hex142b7e420

5414315040 has 144 divisors (see below), whose sum is σ = 19563282648. Its totient is φ = 1358880768.

The previous prime is 5414315021. The next prime is 5414315047. The reversal of 5414315040 is 405134145.

It is a happy number.

5414315040 is a `hidden beast` number, since 541 + 4 + 31 + 50 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3209449104 + 2204865936 = 56652^2 + 46956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5414314995 and 5414315013.

It is not an unprimeable number, because it can be changed into a prime (5414315047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86107 + ... + 135066.

Almost surely, 25414315040 is an apocalyptic number.

It is an amenable number.

5414315040 is an abundant number, since it is smaller than the sum of its proper divisors (14148967608).

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

5414315040 is a wasteful number, since it uses less digits than its factorization.

5414315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221211 (or 221200 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5414315040 is about 73582.0293278189. The cubic root of 5414315040 is about 1755.9595502675.

Adding to 5414315040 its reverse (405134145), we get a palindrome (5819449185).

The spelling of 5414315040 in words is "five billion, four hundred fourteen million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 221173 442346 663519 884692 1105865 1327038 1769384 1990557 2211730 2654076 3317595 3538768 3759941 3981114 4423460 5308152 6635190 7077536 7519882 7962228 8846920 9952785 10616304 11279823 13270380 15039764 15924456 17693840 18799705 19905570 21232608 22559646 26540760 30079528 31848912 33839469 35387680 37599410 39811140 45119292 53081520 56399115 60159056 63697824 67678938 75198820 79622280 90238584 106163040 112798230 120318112 135357876 150397640 159244560 169197345 180477168 225596460 270715752 300795280 318489120 338394690 360954336 451192920 541431504 601590560 676789380 902385840 1082863008 1353578760 1804771680 2707157520 5414315040