Search a number
-
+
4314389976 = 2332137164921
BaseRepresentation
bin1000000010010100…
…00101110111011000
3102010200021201102100
410001022011313120
532313440434401
61552040203400
7211625465301
oct40112056730
912120251370
104314389976
1119143a7056
12a04a69560
13539aba2a0
142ccdd17a8
151a3b77b86
hex101285dd8

4314389976 has 96 divisors (see below), whose sum is σ = 12761068320. Its totient is φ = 1308787200.

The previous prime is 4314389951. The next prime is 4314390007. The reversal of 4314389976 is 6799834134.

It is a happy number.

4314389976 is a `hidden beast` number, since 431 + 43 + 89 + 97 + 6 = 666.

It is a super-2 number, since 2×43143899762 = 37227921730018561152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33996 + ... + 98916.

It is an arithmetic number, because the mean of its divisors is an integer number (132927795).

Almost surely, 24314389976 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 4314389976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380534160).

4314389976 is an abundant number, since it is smaller than the sum of its proper divisors (8446678344).

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

4314389976 is a wasteful number, since it uses less digits than its factorization.

4314389976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65017 (or 65010 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 4314389976 is about 65684.0161378703. The cubic root of 4314389976 is about 1627.9452669713.

The spelling of 4314389976 in words is "four billion, three hundred fourteen million, three hundred eighty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 117 142 156 213 234 284 312 426 468 568 639 852 923 936 1278 1704 1846 2556 2769 3692 5112 5538 7384 8307 11076 16614 22152 33228 64921 66456 129842 194763 259684 389526 519368 584289 779052 843973 1168578 1558104 1687946 2337156 2531919 3375892 4609391 4674312 5063838 6751784 7595757 9218782 10127676 13828173 15191514 18437564 20255352 27656346 30383028 36875128 41484519 55312692 59922083 60766056 82969038 110625384 119844166 165938076 179766249 239688332 331876152 359532498 479376664 539298747 719064996 1078597494 1438129992 2157194988 4314389976