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14131230450 = 23521713034253
BaseRepresentation
bin11010010100100100…
…10111011011110010
31100110211101212220120
431022102113123302
5212420043333300
610254121151110
71010120322411
oct151222273362
940424355816
1014131230450
115aa1790657
1228a462b496
13144286872c
14980ab7478
1557a9063a0
hex34a4976f2

14131230450 has 96 divisors (see below), whose sum is σ = 37144158336. Its totient is φ = 3543106560.

The previous prime is 14131230367. The next prime is 14131230457. The reversal of 14131230450 is 5403213141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14131230450.

It is not an unprimeable number, because it can be changed into a prime (14131230457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3320524 + ... + 3324776.

It is an arithmetic number, because the mean of its divisors is an integer number (386918316).

Almost surely, 214131230450 is an apocalyptic number.

14131230450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14131230450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18572079168).

14131230450 is an abundant number, since it is smaller than the sum of its proper divisors (23012927886).

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

14131230450 is a wasteful number, since it uses less digits than its factorization.

14131230450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 14131230450 its reverse (5403213141), we get a palindrome (19534443591).

The spelling of 14131230450 in words is "fourteen billion, one hundred thirty-one million, two hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 1303 2550 2606 3909 4253 6515 7818 8506 12759 13030 19545 21265 22151 25518 32575 39090 42530 44302 63795 65150 66453 72301 97725 106325 110755 127590 132906 144602 195450 212650 216903 221510 318975 332265 361505 433806 553775 637950 664530 723010 1084515 1107550 1661325 1807525 2169030 3322650 3615050 5422575 5541659 10845150 11083318 16624977 27708295 33249954 55416590 83124885 94208203 138541475 166249770 188416406 277082950 282624609 415624425 471041015 565249218 831248850 942082030 1413123045 2355205075 2826246090 4710410150 7065615225 14131230450