Search a number
-
+
14301132000 = 253531191761
BaseRepresentation
bin11010101000110100…
…11111010011100000
31100220200002210000120
431110122133103200
5213242042211000
610323030520240
71014252421251
oct152432372340
940820083016
1014301132000
116079686161
122931506080
13146bb14cac
149994a2b28
1558a7b76a0
hex35469f4e0

14301132000 has 96 divisors (see below), whose sum is σ = 46850547744. Its totient is φ = 3813632000.

The previous prime is 14301131921. The next prime is 14301132011. The reversal of 14301132000 is 23110341.

14301132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583881 + ... + 607880.

It is an arithmetic number, because the mean of its divisors is an integer number (488026539).

Almost surely, 214301132000 is an apocalyptic number.

14301132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14301132000 is an abundant number, since it is smaller than the sum of its proper divisors (32549415744).

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

14301132000 is a wasteful number, since it uses less digits than its factorization.

14301132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191789 (or 1191771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 14301132000 its reverse (23110341), we get a palindrome (14324242341).

The spelling of 14301132000 in words is "fourteen billion, three hundred one million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1191761 2383522 3575283 4767044 5958805 7150566 9534088 11917610 14301132 17876415 19068176 23835220 28602264 29794025 35752830 38136352 47670440 57204528 59588050 71505660 89382075 95340880 114409056 119176100 143011320 148970125 178764150 190681760 238352200 286022640 297940250 357528300 446910375 476704400 572045280 595880500 715056600 893820750 953408800 1191761000 1430113200 1787641500 2383522000 2860226400 3575283000 4767044000 7150566000 14301132000