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14441342640 = 243583724967
BaseRepresentation
bin11010111001100010…
…10110011010110000
31101021102221012212020
431130301112122300
5214033440431030
610345000031440
71020604246524
oct153461263260
941242835766
1014441342640
11614084151a
122970462580
131491b9717a
149add5dd84
15597c61510
hex35cc566b0

14441342640 has 80 divisors (see below), whose sum is σ = 45307600128. Its totient is φ = 3804621568.

The previous prime is 14441342627. The next prime is 14441342651. The reversal of 14441342640 is 4624314441.

14441342640 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 (80).

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, 342564 + ... + 382403.

Almost surely, 214441342640 is an apocalyptic number.

14441342640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441342640 is an abundant number, since it is smaller than the sum of its proper divisors (30866257488).

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

14441342640 is a wasteful number, since it uses less digits than its factorization.

14441342640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725066 (or 725060 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 14441342640 in words is "fourteen billion, four hundred forty-one million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 9960 19920 724967 1449934 2174901 2899868 3624835 4349802 5799736 7249670 8699604 10874505 11599472 14499340 17399208 21749010 28998680 34798416 43498020 57997360 60172261 86996040 120344522 173992080 180516783 240689044 300861305 361033566 481378088 601722610 722067132 902583915 962756176 1203445220 1444134264 1805167830 2406890440 2888268528 3610335660 4813780880 7220671320 14441342640