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14300341540 = 22523311019929
BaseRepresentation
bin11010101000101110…
…11110010100100100
31100220121121121201021
431110113132110210
5213241341412130
610323001540524
71014242616562
oct152427362444
940817547637
1014300341540
116079196291
1229311a4744
13146b8c9274
14999338a32
1558a6ad37a
hex3545de524

14300341540 has 96 divisors (see below), whose sum is σ = 32670812160. Its totient is φ = 5241984000.

The previous prime is 14300341513. The next prime is 14300341541. The reversal of 14300341540 is 4514300341.

14300341540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14300341541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1435296 + ... + 1445224.

It is an arithmetic number, because the mean of its divisors is an integer number (340320960).

Almost surely, 214300341540 is an apocalyptic number.

14300341540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14300341540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16335406080).

14300341540 is an abundant number, since it is smaller than the sum of its proper divisors (18370470620).

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

14300341540 is a wasteful number, since it uses less digits than its factorization.

14300341540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 14300341540 its reverse (4514300341), we get a palindrome (18814641881).

The spelling of 14300341540 in words is "fourteen billion, three hundred million, three hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 101 115 124 155 202 230 310 404 460 505 620 713 1010 1426 2020 2323 2852 3131 3565 4646 6262 7130 9292 9929 11615 12524 14260 15655 19858 23230 31310 39716 46460 49645 62620 72013 99290 144026 198580 228367 288052 307799 360065 456734 615598 720130 913468 1002829 1141835 1231196 1440260 1538995 2005658 2283670 3077990 4011316 4567340 5014145 6155980 7079377 10028290 14158754 20056580 23065067 28317508 31087699 35396885 46130134 62175398 70793770 92260268 115325335 124350796 141587540 155438495 230650670 310876990 461301340 621753980 715017077 1430034154 2860068308 3575085385 7150170770 14300341540