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14202415035344 = 2419221673113453
BaseRepresentation
bin1100111010101100000111…
…1001110011001111010000
31212021201220201112010221102
43032223001321303033100
53330143021222112334
650112255511443532
72664043040641664
oct316530171631720
955251821463842
1014202415035344
114586235038668
1217146340865a8
137c03886c4503
143715871a48a4
151996863b867e
hexceac1e733d0

14202415035344 has 60 divisors (see below), whose sum is σ = 29043272574756. Its totient is φ = 6727090051584.

The previous prime is 14202415035301. The next prime is 14202415035349. The reversal of 14202415035344 is 44353051420241.

It can be written as a sum of positive squares in 2 ways, for example, as 10457462440000 + 3744952595344 = 3233800^2 + 1935188^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 14202415035298 and 14202415035307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14202415035349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 125126522 + ... + 125239974.

Almost surely, 214202415035344 is an apocalyptic number.

It is an amenable number.

14202415035344 is an abundant number, since it is smaller than the sum of its proper divisors (14840857539412).

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

14202415035344 is a wasteful number, since it uses less digits than its factorization.

14202415035344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135172 (or 135147 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 14202415035344 its reverse (44353051420241), we get a palindrome (58555466455585).

The spelling of 14202415035344 in words is "fourteen trillion, two hundred two billion, four hundred fifteen million, thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 21673 43346 86692 113453 173384 226906 346768 411787 453812 823574 907624 1647148 1815248 2155607 3294296 4311214 6588592 7823953 8622428 15647906 17244856 31295812 34489712 40956533 62591624 81913066 125183248 163826132 327652264 655304528 2458866869 4917733738 9835467476 19670934952 39341869904 46718470511 93436941022 186873882044 373747764088 747495528176 887650939709 1775301879418 3550603758836 7101207517672 14202415035344