Search a number
-
+
13999008000 = 28353145823
BaseRepresentation
bin11010000100110011…
…11110100100000000
31100010121121021210210
431002121332210000
5212132221224000
610233035154120
71003623414255
oct150231764400
940117537723
1013999008000
115a340909aa
1228682a5940
1314213524b3
1496b2d942c
1556ded9350
hex34267e900

13999008000 has 144 divisors (see below), whose sum is σ = 46498023936. Its totient is φ = 3733043200.

The previous prime is 13999007999. The next prime is 13999008011. The reversal of 13999008000 is 80099931.

It is a self number, because there is not a number n which added to its sum of digits gives 13999008000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23089 + ... + 168911.

It is an arithmetic number, because the mean of its divisors is an integer number (322902944).

Almost surely, 213999008000 is an apocalyptic number.

13999008000 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 13999008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23249011968).

13999008000 is an abundant number, since it is smaller than the sum of its proper divisors (32499015936).

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

13999008000 is an equidigital number, since it uses as much as digits as its factorization.

13999008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145857 (or 145833 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 13999008000 in words is "thirteen billion, nine hundred ninety-nine million, eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 145823 291646 437469 583292 729115 874938 1166584 1458230 1749876 2187345 2333168 2916460 3499752 3645575 4374690 4666336 5832920 6999504 7291150 8749380 9332672 10936725 11665840 13999008 14582300 17498760 18227875 18665344 21873450 23331680 27998016 29164600 34997520 36455750 37330688 43746900 46663360 54683625 55996032 58329200 69995040 72911500 87493800 93326720 109367250 111992064 116658400 139990080 145823000 174987600 186653440 218734500 233316800 279980160 291646000 349975200 437469000 466633600 559960320 583292000 699950400 874938000 933267200 1166584000 1399900800 1749876000 2333168000 2799801600 3499752000 4666336000 6999504000 13999008000