Search a number
-
+
14734007316 = 22327895471201
BaseRepresentation
bin11011011100011011…
…10001110000010100
31102000211122010022200
431232031301300110
5220133401213231
610434012524500
71031056665360
oct155615616024
942024563280
1014734007316
116280a65856
122a32480730
13150a6c7232
149dab842a0
155b37c1be6
hex36e371c14

14734007316 has 144 divisors (see below), whose sum is σ = 43157761920. Its totient is φ = 4151347200.

The previous prime is 14734007303. The next prime is 14734007347. The reversal of 14734007316 is 61370043741.

14734007316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 12267516 + ... + 12268716.

It is an arithmetic number, because the mean of its divisors is an integer number (299706680).

Almost surely, 214734007316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14734007316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21578880960).

14734007316 is an abundant number, since it is smaller than the sum of its proper divisors (28423754604).

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

14734007316 is a wasteful number, since it uses less digits than its factorization.

14734007316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 14734007316 in words is "fourteen billion, seven hundred thirty-four million, seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 534 547 623 801 1068 1094 1201 1246 1602 1641 1869 2188 2402 2492 3204 3282 3603 3738 3829 4804 4923 5607 6564 7206 7476 7658 8407 9846 10809 11214 11487 14412 15316 16814 19692 21618 22428 22974 25221 33628 34461 43236 45948 48683 50442 68922 75663 97366 100884 106889 137844 146049 151326 194732 213778 292098 302652 320667 340781 427556 438147 584196 641334 656947 681562 748223 876294 962001 1022343 1282668 1313894 1363124 1496446 1752588 1924002 1970841 2044686 2244669 2627788 2992892 3067029 3848004 3941682 4089372 4489338 4598629 5912523 6134058 6734007 7883364 8978676 9197258 11825046 12268116 13468014 13795887 18394516 23650092 26936028 27591774 41387661 55183548 58468283 82775322 116936566 165550644 175404849 233873132 350809698 409277981 526214547 701619396 818555962 1052429094 1227833943 1637111924 2104858188 2455667886 3683501829 4911335772 7367003658 14734007316