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14190347760 = 2435239247391
BaseRepresentation
bin11010011011100111…
…11000010111110000
31100121221122100121120
431031303320113300
5213030212112020
610304032222240
71011435652161
oct151563702760
940557570546
1014190347760
116022099336
12290039a980
131451b969a4
149888a5768
15580bd2740
hex34dcf85f0

14190347760 has 80 divisors (see below), whose sum is σ = 44174315520. Its totient is φ = 3768244480.

The previous prime is 14190347713. The next prime is 14190347761. The reversal of 14190347760 is 6774309141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14190347761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66336 + ... + 181055.

It is an arithmetic number, because the mean of its divisors is an integer number (552178944).

Almost surely, 214190347760 is an apocalyptic number.

14190347760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14190347760 is an abundant number, since it is smaller than the sum of its proper divisors (29983967760).

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

14190347760 is a wasteful number, since it uses less digits than its factorization.

14190347760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247646 (or 247640 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 14190347760 in words is "fourteen billion, one hundred ninety million, three hundred forty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 9560 11472 14340 19120 28680 57360 247391 494782 742173 989564 1236955 1484346 1979128 2473910 2968692 3710865 3958256 4947820 5937384 7421730 9895640 11874768 14843460 19791280 29686920 59126449 59373840 118252898 177379347 236505796 295632245 354758694 473011592 591264490 709517388 886896735 946023184 1182528980 1419034776 1773793470 2365057960 2838069552 3547586940 4730115920 7095173880 14190347760