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14300634264 = 2337537122621
BaseRepresentation
bin11010101000110001…
…00101110010011000
31100220122011111020220
431110120211302120
5213241430244024
610323012120040
71014245246160
oct152430456230
940818144226
1014300634264
116079376204
122931306020
13146b99c587
149993b35a0
1558a719e79
hex354625c98

14300634264 has 128 divisors (see below), whose sum is σ = 42218081280. Its totient is φ = 3952166400.

The previous prime is 14300634263. The next prime is 14300634269. The reversal of 14300634264 is 46243600341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300634263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620874 + ... + 643494.

It is an arithmetic number, because the mean of its divisors is an integer number (329828760).

Almost surely, 214300634264 is an apocalyptic number.

14300634264 is a gapful number since it is divisible by the number (14) 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 14300634264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21109040640).

14300634264 is an abundant number, since it is smaller than the sum of its proper divisors (27917447016).

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

14300634264 is a wasteful number, since it uses less digits than its factorization.

14300634264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22761 (or 22757 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 14300634264 in words is "fourteen billion, three hundred million, six hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 71 84 106 142 159 168 212 213 284 318 371 424 426 497 568 636 742 852 994 1113 1272 1484 1491 1704 1988 2226 2968 2982 3763 3976 4452 5964 7526 8904 11289 11928 15052 22578 22621 26341 30104 45156 45242 52682 67863 79023 90312 90484 105364 135726 158046 158347 180968 210728 271452 316092 316694 475041 542904 632184 633388 950082 1198913 1266776 1606091 1900164 2397826 3212182 3596739 3800328 4795652 4818273 6424364 7193478 8392391 9591304 9636546 11242637 12848728 14386956 16784782 19273092 22485274 25177173 28773912 33569564 33727911 38546184 44970548 50354346 67139128 67455822 85122823 89941096 100708692 134911644 170245646 201417384 255368469 269823288 340491292 510736938 595859761 680982584 1021473876 1191719522 1787579283 2042947752 2383439044 3575158566 4766878088 7150317132 14300634264