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14203004200 = 2352711283843
BaseRepresentation
bin11010011101001000…
…01010010100101000
31100122211110100222121
431032210022110220
5213041432113300
610305203401024
71011651354340
oct151644122450
940584410877
1014203004200
116029253300
122904683174
1314546a86c8
1498a43bd20
15581d8281a
hex34e90a528

14203004200 has 144 divisors (see below), whose sum is σ = 41482657440. Its totient is φ = 4426857600.

The previous prime is 14203004197. The next prime is 14203004201. The reversal of 14203004200 is 240030241.

It is not an unprimeable number, because it can be changed into a prime (14203004201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127479 + ... + 211321.

It is an arithmetic number, because the mean of its divisors is an integer number (288074010).

Almost surely, 214203004200 is an apocalyptic number.

14203004200 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 14203004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20741328720).

14203004200 is an abundant number, since it is smaller than the sum of its proper divisors (27279653240).

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

14203004200 is a wasteful number, since it uses less digits than its factorization.

14203004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83888 (or 83868 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14203004200 its reverse (240030241), we get a palindrome (14443034441).

The spelling of 14203004200 in words is "fourteen billion, two hundred three million, four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 121 140 154 175 200 220 242 275 280 308 350 385 440 484 550 605 616 700 770 847 968 1100 1210 1400 1540 1694 1925 2200 2420 3025 3080 3388 3850 4235 4840 6050 6776 7700 8470 12100 15400 16940 21175 24200 33880 42350 83843 84700 167686 169400 335372 419215 586901 670744 838430 922273 1173802 1676860 1844546 2096075 2347604 2934505 3353720 3689092 4192150 4611365 4695208 5869010 6455911 7378184 8384300 9222730 10145003 11738020 12911822 14672525 16768600 18445460 20290006 23056825 23476040 25823644 29345050 32279555 36890920 40580012 46113650 50725015 51647288 58690100 64559110 71015021 81160024 92227300 101450030 117380200 129118220 142030042 161397775 184454600 202900060 253625075 258236440 284060084 322795550 355075105 405800120 507250150 568120168 645591100 710150210 1014500300 1291182200 1420300420 1775375525 2029000600 2840600840 3550751050 7101502100 14203004200