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14147009352 = 23327186115083
BaseRepresentation
bin11010010110011101…
…00011101101001000
31100111221002112111100
431023032203231020
5212433113244402
610255443301400
71010401411140
oct151316435510
940457075440
1014147009352
115aaa688573
1228a997a860
131445c01768
14982c23920
1557bec171c
hex34b3a3b48

14147009352 has 96 divisors (see below), whose sum is σ = 43814796480. Its totient is φ = 4039562880.

The previous prime is 14147009339. The next prime is 14147009423. The reversal of 14147009352 is 25390074141.

14147009352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 930403 + ... + 945485.

It is an arithmetic number, because the mean of its divisors is an integer number (456404130).

Almost surely, 214147009352 is an apocalyptic number.

14147009352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14147009352 is an abundant number, since it is smaller than the sum of its proper divisors (29667787128).

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

14147009352 is a wasteful number, since it uses less digits than its factorization.

14147009352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16963 (or 16956 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 14147009352 in words is "fourteen billion, one hundred forty-seven million, nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1861 3722 5583 7444 11166 13027 14888 15083 16749 22332 26054 30166 33498 39081 44664 45249 52108 60332 66996 78162 90498 104216 105581 117243 120664 133992 135747 156324 180996 211162 234486 271494 312648 316743 361992 422324 468972 542988 633486 844648 937944 950229 1085976 1266972 1900458 2533944 3800916 7601832 28069463 56138926 84208389 112277852 168416778 196486241 224555704 252625167 336833556 392972482 505250334 589458723 673667112 785944964 1010500668 1178917446 1571889928 1768376169 2021001336 2357834892 3536752338 4715669784 7073504676 14147009352