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14472607421000 = 2353281317162473
BaseRepresentation
bin1101001010011010101010…
…0111111101001001001000
31220020120022220011110211002
43102212222213331021020
53344104344444433000
650440342444154132
73022416463220531
oct322465247751110
956216286143732
1014472607421000
11467a886653043
121758a7ab38948
1380c9b7c7a5a1
1438069965b688
151a16ebca18d5
hexd29aa9fd248

14472607421000 has 128 divisors (see below), whose sum is σ = 34093843112160. Its totient is φ = 5750209024000.

The previous prime is 14472607420979. The next prime is 14472607421033. The reversal of 14472607421000 is 12470627441.

It is a happy number.

14472607421000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 7957710436 + 14464649710564 = 89206^2 + 3803242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88995764 + ... + 89158236.

Almost surely, 214472607421000 is an apocalyptic number.

14472607421000 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 14472607421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17046921556080).

14472607421000 is an abundant number, since it is smaller than the sum of its proper divisors (19621235691160).

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

14472607421000 is a wasteful number, since it uses less digits than its factorization.

14472607421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163092 (or 163078 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 14472607421000 in words is "fourteen trillion, four hundred seventy-two billion, six hundred seven million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 281 317 500 562 634 1000 1124 1268 1405 1585 2248 2536 2810 3170 5620 6340 7025 7925 11240 12680 14050 15850 28100 31700 35125 39625 56200 63400 70250 79250 89077 140500 158500 162473 178154 281000 317000 324946 356308 445385 649892 712616 812365 890770 1299784 1624730 1781540 2226925 3249460 3563080 4061825 4453850 6498920 8123650 8907700 11134625 16247300 17815400 20309125 22269250 32494600 40618250 44538500 45654913 51503941 81236500 89077000 91309826 103007882 162473000 182619652 206015764 228274565 257519705 365239304 412031528 456549130 515039410 913098260 1030078820 1141372825 1287598525 1826196520 2060157640 2282745650 2575197050 4565491300 5150394100 5706864125 6437992625 9130982600 10300788200 11413728250 12875985250 14472607421 22827456500 25751970500 28945214842 45654913000 51503941000 57890429684 72363037105 115780859368 144726074210 289452148420 361815185525 578904296840 723630371050 1447260742100 1809075927625 2894521484200 3618151855250 7236303710500 14472607421000