Search a number
-
+
14425131400 = 2352793892347
BaseRepresentation
bin11010110111100111…
…00000100110001000
31101020022102121012221
431123303200212020
5214020313201100
610343220343424
71020316410451
oct153363404610
941208377187
1014425131400
1161326797a9
122966b44b74
13148b70c414
149abb40128
1559660d01a
hex35bce0988

14425131400 has 96 divisors (see below), whose sum is σ = 34064784000. Its totient is φ = 5679947520.

The previous prime is 14425131377. The next prime is 14425131403. The reversal of 14425131400 is 413152441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14425131403) 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, 6145027 + ... + 6147373.

It is an arithmetic number, because the mean of its divisors is an integer number (354841500).

Almost surely, 214425131400 is an apocalyptic number.

14425131400 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 14425131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17032392000).

14425131400 is an abundant number, since it is smaller than the sum of its proper divisors (19639652600).

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

14425131400 is a wasteful number, since it uses less digits than its factorization.

14425131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14425131400 its reverse (413152441), we get a palindrome (14838283841).

The spelling of 14425131400 in words is "fourteen billion, four hundred twenty-five million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 389 395 632 778 790 1556 1580 1945 1975 2347 3112 3160 3890 3950 4694 7780 7900 9388 9725 11735 15560 15800 18776 19450 23470 30731 38900 46940 58675 61462 77800 93880 117350 122924 153655 185413 234700 245848 307310 370826 469400 614620 741652 768275 912983 927065 1229240 1483304 1536550 1825966 1854130 3073100 3651932 3708260 4564915 4635325 6146200 7303864 7416520 9129830 9270650 18259660 18541300 22824575 36519320 37082600 45649150 72125657 91298300 144251314 182596600 288502628 360628285 577005256 721256570 1442513140 1803141425 2885026280 3606282850 7212565700 14425131400