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14943129300 = 223252111509407
BaseRepresentation
bin11011110101010111…
…00000111011010100
31102120102010121202100
431322223200323110
5221100420114200
610510443042100
71036206334431
oct157253407324
942512117670
1014943129300
116379009240
122a90510330
131541b26558
14a1a85cb88
155c6d2dd00
hex37aae0ed4

14943129300 has 108 divisors (see below), whose sum is σ = 51096479616. Its totient is φ = 3622574400.

The previous prime is 14943129293. The next prime is 14943129301. The reversal of 14943129300 is 392134941.

It is a super-2 number, since 2×149431293002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14943129301) 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 35 ways as a sum of consecutive naturals, for example, 744804 + ... + 764603.

It is an arithmetic number, because the mean of its divisors is an integer number (473115552).

Almost surely, 214943129300 is an apocalyptic number.

14943129300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14943129300 is an abundant number, since it is smaller than the sum of its proper divisors (36153350316).

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

14943129300 is a wasteful number, since it uses less digits than its factorization.

14943129300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509438 (or 1509428 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 14943129300 in words is "fourteen billion, nine hundred forty-three million, one hundred twenty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1509407 3018814 4528221 6037628 7547035 9056442 13584663 15094070 16603477 18112884 22641105 27169326 30188140 33206954 37735175 45282210 49810431 54338652 66413908 67923315 75470350 83017385 90564420 99620862 113205525 135846630 149431293 150940700 166034770 199241724 226411050 249052155 271693260 298862586 332069540 339616575 415086925 452822100 498104310 597725172 679233150 747156465 830173850 996208620 1245260775 1358466300 1494312930 1660347700 2490521550 2988625860 3735782325 4981043100 7471564650 14943129300