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14353143400 = 235219310463
BaseRepresentation
bin11010101111000001…
…11001011001101000
31101001021222020020201
431113200321121220
5213343401042100
610332125401544
71015453464061
oct152740713150
941037866221
1014353143400
1160a5a80092
122946a092b4
131479825a7b
149a2361568
1559013d36a
hex357839668

14353143400 has 96 divisors (see below), whose sum is σ = 35228102400. Its totient is φ = 5438566080.

The previous prime is 14353143383. The next prime is 14353143433. The reversal of 14353143400 is 434135341.

14353143400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1366569 + ... + 1377031.

It is an arithmetic number, because the mean of its divisors is an integer number (366959400).

Almost surely, 214353143400 is an apocalyptic number.

14353143400 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 14353143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17614051200).

14353143400 is an abundant number, since it is smaller than the sum of its proper divisors (20874959000).

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

14353143400 is a wasteful number, since it uses less digits than its factorization.

14353143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 14353143400 its reverse (434135341), we get a palindrome (14787278741).

The spelling of 14353143400 in words is "fourteen billion, three hundred fifty-three million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 950 1444 1805 1900 2888 3610 3800 6859 7220 9025 10463 13718 14440 18050 20926 27436 34295 36100 41852 52315 54872 68590 72200 83704 104630 137180 171475 198797 209260 261575 274360 342950 397594 418520 523150 685900 795188 993985 1046300 1371800 1590376 1987970 2092600 3777143 3975940 4969925 7554286 7951880 9939850 15108572 18885715 19879700 30217144 37771430 39759400 71765717 75542860 94428575 143531434 151085720 188857150 287062868 358828585 377714300 574125736 717657170 755428600 1435314340 1794142925 2870628680 3588285850 7176571700 14353143400