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14302195740 = 22325761718397
BaseRepresentation
bin11010101000111101…
…00011000000011100
31100220202002211012100
431110132203000130
5213242330230430
610323105405100
71014264441450
oct152436430034
940822084170
1014302195740
11607a242388
122931939790
13146c0c8221
1499969c660
1558a927960
hex3547a301c

14302195740 has 144 divisors (see below), whose sum is σ = 49664002752. Its totient is φ = 3263597568.

The previous prime is 14302195703. The next prime is 14302195757. The reversal of 14302195740 is 4759120341.

14302195740 is a `hidden beast` number, since 1 + 430 + 219 + 5 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14302195695 and 14302195704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768222 + ... + 786618.

It is an arithmetic number, because the mean of its divisors is an integer number (344888908).

Almost surely, 214302195740 is an apocalyptic number.

14302195740 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 14302195740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24832001376).

14302195740 is an abundant number, since it is smaller than the sum of its proper divisors (35361807012).

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

14302195740 is a wasteful number, since it uses less digits than its factorization.

14302195740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19036 (or 19031 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 14302195740 in words is "fourteen billion, three hundred two million, one hundred ninety-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 617 630 1234 1260 1851 2468 3085 3702 4319 5553 6170 7404 8638 9255 11106 12340 12957 17276 18397 18510 21595 22212 25914 27765 36794 37020 38871 43190 51828 55191 55530 64785 73588 77742 86380 91985 110382 111060 128779 129570 155484 165573 183970 194355 220764 257558 259140 275955 331146 367940 386337 388710 515116 551910 643895 662292 772674 777420 827865 1103820 1159011 1287790 1545348 1655730 1931685 2318022 2575580 3311460 3863370 4636044 5795055 7726740 11350949 11590110 22701898 23180220 34052847 45403796 56754745 68105694 79456643 102158541 113509490 136211388 158913286 170264235 204317082 227018980 238369929 317826572 340528470 397283215 408634164 476739858 510792705 681056940 715109787 794566430 953479716 1021585410 1191849645 1430219574 1589132860 2043170820 2383699290 2860439148 3575548935 4767398580 7151097870 14302195740