Search a number
-
+
14414661990 = 234529613651
BaseRepresentation
bin11010110110010111…
…00100100101100110
31101012120201200220000
431123023210211212
5214010123140430
610342204122130
71020131414421
oct153313444546
941176650800
1014414661990
1161277789a3
122963536346
1314894b4cc1
149aa5b69b8
15595740e60
hex35b2e4966

14414661990 has 80 divisors (see below), whose sum is σ = 40096021680. Its totient is φ = 3711355200.

The previous prime is 14414661977. The next prime is 14414661991. The reversal of 14414661990 is 9916641441.

14414661990 is a `hidden beast` number, since 14 + 4 + 14 + 6 + 619 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414661991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 283336 + ... + 330315.

It is an arithmetic number, because the mean of its divisors is an integer number (501200271).

Almost surely, 214414661990 is an apocalyptic number.

14414661990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14414661990 is an abundant number, since it is smaller than the sum of its proper divisors (25681359690).

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

14414661990 is a wasteful number, since it uses less digits than its factorization.

14414661990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613699 (or 613690 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14414661990 in words is "fourteen billion, four hundred fourteen million, six hundred sixty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 23490 613651 1227302 1840953 3068255 3681906 5522859 6136510 9204765 11045718 16568577 17795879 18409530 27614295 33137154 35591758 49705731 53387637 55228590 82842885 88979395 99411462 106775274 160162911 165685770 177958790 248528655 266938185 320325822 480488733 497057310 533876370 800814555 960977466 1441466199 1601629110 2402443665 2882932398 4804887330 7207330995 14414661990