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14301125200 = 2452198921143
BaseRepresentation
bin11010101000110100…
…11101101001010000
31100220200002102200201
431110122131221100
5213242042001300
610323030424544
71014252362365
oct152432355120
940820072621
1014301125200
11607968103a
122931502154
13146bb11b7b
149994a046c
1558a7b566a
hex35469da50

14301125200 has 120 divisors (see below), whose sum is σ = 36574891200. Its totient is φ = 5358228480.

The previous prime is 14301125177. The next prime is 14301125207. The reversal of 14301125200 is 252110341.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301125207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665829 + ... + 686971.

It is an arithmetic number, because the mean of its divisors is an integer number (304790760).

Almost surely, 214301125200 is an apocalyptic number.

14301125200 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 14301125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18287445600).

14301125200 is an abundant number, since it is smaller than the sum of its proper divisors (22273766000).

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

14301125200 is a wasteful number, since it uses less digits than its factorization.

14301125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21269 (or 21258 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 14301125200 its reverse (252110341), we get a palindrome (14553235541).

The spelling of 14301125200 in words is "fourteen billion, three hundred one million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 89 95 100 152 178 190 200 304 356 380 400 445 475 712 760 890 950 1424 1520 1691 1780 1900 2225 3382 3560 3800 4450 6764 7120 7600 8455 8900 13528 16910 17800 21143 27056 33820 35600 42275 42286 67640 84550 84572 105715 135280 169100 169144 211430 338200 338288 401717 422860 528575 676400 803434 845720 1057150 1606868 1691440 1881727 2008585 2114300 3213736 3763454 4017170 4228600 6427472 7526908 8034340 8457200 9408635 10042925 15053816 16068680 18817270 20085850 30107632 32137360 35752813 37634540 40171700 47043175 71505626 75269080 80343400 94086350 143011252 150538160 160686800 178764065 188172700 286022504 357528130 376345400 572045008 715056260 752690800 893820325 1430112520 1787640650 2860225040 3575281300 7150562600 14301125200