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14375284198460 = 22518122769174407
BaseRepresentation
bin1101000100110000000110…
…1101010100110000111100
31212220021010021100111221022
43101030001231110300330
53341011040223322320
650323525301523312
73012402641405123
oct321140155246074
955807107314838
1014375284198460
114642584192519
121742039713538
13803777bb3443
14379aa5d06aba
1519de02a61325
hexd1301b54c3c

14375284198460 has 48 divisors (see below), whose sum is σ = 30356389103040. Its totient is φ = 5718061163520.

The previous prime is 14375284198381. The next prime is 14375284198481. The reversal of 14375284198460 is 6489148257341.

It is a junction number, because it is equal to n+sod(n) for n = 14375284198393 and 14375284198402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82336577 + ... + 82510983.

It is an arithmetic number, because the mean of its divisors is an integer number (632424772980).

It is a 1-persistent number, because it is pandigital, but 2⋅14375284198460 = 28750568396920 is not.

Almost surely, 214375284198460 is an apocalyptic number.

14375284198460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14375284198460 is an abundant number, since it is smaller than the sum of its proper divisors (15981104904580).

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

14375284198460 is a wasteful number, since it uses less digits than its factorization.

14375284198460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197366 (or 197364 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 62.

The spelling of 14375284198460 in words is "fourteen trillion, three hundred seventy-five billion, two hundred eighty-four million, one hundred ninety-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 22769 45538 91076 113845 174407 227690 348814 455380 697628 872035 1744070 3488140 4121189 8242378 16484756 20605945 31567667 41211890 63135334 82423780 126270668 157838335 315676670 631353340 3971072983 7942145966 15884291932 19855364915 39710729830 79421459660 718764209923 1437528419846 2875056839692 3593821049615 7187642099230 14375284198460