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20133414340 = 2251377436209
BaseRepresentation
bin10010110000000010…
…111000010111000100
31220222010120102022121
4102300002320113010
5312213123224330
613125452535324
71311632124664
oct226002702704
956863512277
1020133414340
1185a1873206
123a9a781544
131b8b21a530
14d8dcd41a4
157cc82117a
hex4b00b85c4

20133414340 has 24 divisors (see below), whose sum is σ = 45532491480. Its totient is φ = 7433875968.

The previous prime is 20133414319. The next prime is 20133414341. The reversal of 20133414340 is 4341433102.

It can be written as a sum of positive squares in 4 ways, for example, as 2418869124 + 17714545216 = 49182^2 + 133096^2 .

It is a super-2 number, since 2×201334143402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20133414341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38717845 + ... + 38718364.

It is an arithmetic number, because the mean of its divisors is an integer number (1897187145).

Almost surely, 220133414340 is an apocalyptic number.

20133414340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133414340 is an abundant number, since it is smaller than the sum of its proper divisors (25399077140).

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

20133414340 is a wasteful number, since it uses less digits than its factorization.

20133414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77436231 (or 77436229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 20133414340 its reverse (4341433102), we get a palindrome (24474847442).

The spelling of 20133414340 in words is "twenty billion, one hundred thirty-three million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 77436209 154872418 309744836 387181045 774362090 1006670717 1548724180 2013341434 4026682868 5033353585 10066707170 20133414340