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14115717500 = 225419436911
BaseRepresentation
bin11010010010101110…
…01100000101111100
31100102202012202010212
431021113030011330
5212402110430000
610252404451552
71006541422223
oct151127140574
940382182125
1014115717500
115a93a55535
12289b3a9bb8
13143c596781
1497c9d9cba
1557938ec35
hex3495cc17c

14115717500 has 120 divisors (see below), whose sum is σ = 33253355520. Its totient is φ = 5223960000.

The previous prime is 14115717493. The next prime is 14115717509. The reversal of 14115717500 is 571751141.

14115717500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115717509) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2039045 + ... + 2045955.

It is an arithmetic number, because the mean of its divisors is an integer number (277111296).

Almost surely, 214115717500 is an apocalyptic number.

14115717500 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 14115717500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626677760).

14115717500 is an abundant number, since it is smaller than the sum of its proper divisors (19137638020).

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

14115717500 is a wasteful number, since it uses less digits than its factorization.

14115717500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 32.

The spelling of 14115717500 in words is "fourteen billion, one hundred fifteen million, seven hundred seventeen thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 125 172 190 215 250 380 430 475 500 625 817 860 950 1075 1250 1634 1900 2150 2375 2500 3268 4085 4300 4750 5375 6911 8170 9500 10750 11875 13822 16340 20425 21500 23750 26875 27644 34555 40850 47500 53750 69110 81700 102125 107500 131309 138220 172775 204250 262618 297173 345550 408500 510625 525236 594346 656545 691100 863875 1021250 1188692 1313090 1485865 1727750 2042500 2626180 2971730 3282725 3455500 4319375 5646287 5943460 6565450 7429325 8638750 11292574 13130900 14858650 16413625 17277500 22585148 28231435 29717300 32827250 37146625 56462870 65654500 74293250 82068125 112925740 141157175 148586500 164136250 185733125 282314350 328272500 371466250 564628700 705785875 742932500 1411571750 2823143500 3528929375 7057858750 14115717500