Search a number
-
+
14299745070 = 23513414791867
BaseRepresentation
bin11010101000101010…
…01100101100101110
31100220120111022111210
431110111030230232
5213241213320240
610322541055250
71014234553602
oct152425145456
940816438453
1014299745070
116078919136
122930b57526
13146b74a920
14999221502
1558a5e1780
hex35454cb2e

14299745070 has 128 divisors (see below), whose sum is σ = 37960151040. Its totient is φ = 3425080320.

The previous prime is 14299745027. The next prime is 14299745101. The reversal of 14299745070 is 7054799241.

14299745070 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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7658277 + ... + 7660143.

It is an arithmetic number, because the mean of its divisors is an integer number (296563680).

Almost surely, 214299745070 is an apocalyptic number.

14299745070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14299745070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18980075520).

14299745070 is an abundant number, since it is smaller than the sum of its proper divisors (23660405970).

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

14299745070 is a wasteful number, since it uses less digits than its factorization.

14299745070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410.

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 14299745070 in words is "fourteen billion, two hundred ninety-nine million, seven hundred forty-five thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 479 533 615 958 1066 1230 1437 1599 1867 2395 2665 2874 3198 3734 4790 5330 5601 6227 7185 7995 9335 11202 12454 14370 15990 18670 18681 19639 24271 28005 31135 37362 39278 48542 56010 58917 62270 72813 76547 93405 98195 117834 121355 145626 153094 186810 196390 229641 242710 255307 294585 364065 382735 459282 510614 589170 728130 765470 765921 894293 995111 1148205 1276535 1531842 1788586 1990222 2296410 2553070 2682879 2985333 3829605 4471465 4975555 5365758 5970666 7659210 8942930 9951110 11625809 13414395 14926665 23251618 26828790 29853330 34877427 36666013 58129045 69754854 73332026 109998039 116258090 174387135 183330065 219996078 348774270 366660130 476658169 549990195 953316338 1099980390 1429974507 2383290845 2859949014 4766581690 7149872535 14299745070