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14345760590 = 2571725771229
BaseRepresentation
bin11010101110001001…
…01110111101001110
31101000210002010221022
431113010232331032
5213340003314330
610331303234142
71015333644620
oct152704567516
941023063838
1014345760590
1160a1898297
122944448952
13147813c545
149a139cc10
1558e680ae5
hex35712ef4e

14345760590 has 96 divisors (see below), whose sum is σ = 31429235520. Its totient is φ = 4617437184.

The previous prime is 14345760553. The next prime is 14345760623. The reversal of 14345760590 is 9506754341.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11672096 + ... + 11673324.

It is an arithmetic number, because the mean of its divisors is an integer number (327387870).

Almost surely, 214345760590 is an apocalyptic number.

14345760590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14345760590 is an abundant number, since it is smaller than the sum of its proper divisors (17083474930).

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

14345760590 is a wasteful number, since it uses less digits than its factorization.

14345760590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 14345760590 in words is "fourteen billion, three hundred forty-five million, seven hundred sixty thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 289 577 578 595 1154 1190 1229 1445 2023 2458 2885 2890 4039 4046 5770 6145 8078 8603 9809 10115 12290 17206 19618 20195 20230 20893 40390 41786 43015 49045 68663 86030 98090 104465 137326 146251 166753 208930 292502 333506 343315 355181 686630 709133 710362 731255 833765 1167271 1418266 1462510 1667530 1775905 2334542 2486267 3545665 3551810 4963931 4972534 5836355 7091330 9927862 11672710 12055261 12431335 24110522 24819655 24862670 49639310 60276305 84386827 120552610 168773654 204939437 409878874 421934135 843868270 1024697185 1434576059 2049394370 2869152118 7172880295 14345760590