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14471299320 = 23354110632767
BaseRepresentation
bin11010111101000111…
…01000000011111000
31101100112022011200220
431132203220003320
5214114123034240
610351550100040
71021420005012
oct153643500370
941315264626
1014471299320
116156742405
12297a4aa620
13149815550a
149b3d1b1b2
1559a6cc5d0
hex35e8e80f8

14471299320 has 128 divisors (see below), whose sum is σ = 44530698240. Its totient is φ = 3759989760.

The previous prime is 14471299319. The next prime is 14471299333. The reversal of 14471299320 is 2399217441.

It is a happy number.

14471299320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 5228577 + ... + 5231343.

It is an arithmetic number, because the mean of its divisors is an integer number (347896080).

Almost surely, 214471299320 is an apocalyptic number.

14471299320 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 14471299320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22265349120).

14471299320 is an abundant number, since it is smaller than the sum of its proper divisors (30059398920).

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

14471299320 is a wasteful number, since it uses less digits than its factorization.

14471299320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 14471299320 in words is "fourteen billion, four hundred seventy-one million, two hundred ninety-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1063 1230 1640 2126 2460 2767 3189 4252 4920 5315 5534 6378 8301 8504 10630 11068 12756 13835 15945 16602 21260 22136 25512 27670 31890 33204 41505 42520 43583 55340 63780 66408 83010 87166 110680 113447 127560 130749 166020 174332 217915 226894 261498 332040 340341 348664 435830 453788 522996 567235 653745 680682 871660 907576 1045992 1134470 1307490 1361364 1701705 1743320 2268940 2614980 2722728 2941321 3403410 4537880 5229960 5882642 6806820 8823963 11765284 13613640 14706605 17647926 23530568 29413210 35295852 44119815 58826420 70591704 88239630 117652840 120594161 176479260 241188322 352958520 361782483 482376644 602970805 723564966 964753288 1205941610 1447129932 1808912415 2411883220 2894259864 3617824830 4823766440 7235649660 14471299320