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14218416080 = 2451127159621
BaseRepresentation
bin11010011110111101…
…11100111111010000
31100200220110101002222
431033132330333100
5213104403303310
610310514000212
71012226354051
oct151736747720
940626411088
1014218416080
116036a1a4a0
122909876068
13145794366b
1498c4d0728
155833c9055
hex34f7bcfd0

14218416080 has 80 divisors (see below), whose sum is σ = 36196754688. Its totient is φ = 5151168000.

The previous prime is 14218416067. The next prime is 14218416103. The reversal of 14218416080 is 8061481241.

It is a happy number.

It is a Cunningham number, because it is equal to 1192412-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14218416080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208670 + ... + 268290.

Almost surely, 214218416080 is an apocalyptic number.

14218416080 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 14218416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098377344).

14218416080 is an abundant number, since it is smaller than the sum of its proper divisors (21978338608).

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

14218416080 is a wasteful number, since it uses less digits than its factorization.

14218416080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59916 (or 59910 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 14218416080 in words is "fourteen billion, two hundred eighteen million, four hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 271 440 542 880 1084 1355 2168 2710 2981 4336 5420 5962 10840 11924 14905 21680 23848 29810 47696 59620 59621 119240 119242 238480 238484 298105 476968 596210 655831 953936 1192420 1311662 2384840 2623324 3279155 4769680 5246648 6558310 10493296 13116620 16157291 26233240 32314582 52466480 64629164 80786455 129258328 161572910 177730201 258516656 323145820 355460402 646291640 710920804 888651005 1292583280 1421841608 1777302010 2843683216 3554604020 7109208040 14218416080