Search a number
-
+
423221054344 = 231127911934639
BaseRepresentation
bin1100010100010011111…
…00001100101110001000
31111110102000002011010121
412022021330030232020
523413224042214334
6522231451553024
742401545414624
oct6121174145610
91443360064117
10423221054344
1115353a285200
126a033a5b774
1330ba9446a9a
14166ac194184
15b020320db4
hex6289f0cb88

423221054344 has 96 divisors (see below), whose sum is σ = 884209536000. Its totient is φ = 189737982720.

The previous prime is 423221054339. The next prime is 423221054359. The reversal of 423221054344 is 443450122324.

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 23 ways as a sum of consecutive naturals, for example, 91228777 + ... + 91233415.

It is an arithmetic number, because the mean of its divisors is an integer number (9210516000).

Almost surely, 2423221054344 is an apocalyptic number.

423221054344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423221054344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442104768000).

423221054344 is an abundant number, since it is smaller than the sum of its proper divisors (460988481656).

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

423221054344 is a wasteful number, since it uses less digits than its factorization.

423221054344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 423221054344 its reverse (443450122324), we get a palindrome (866671176668).

The spelling of 423221054344 in words is "four hundred twenty-three billion, two hundred twenty-one million, fifty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 79 88 121 158 242 316 484 632 869 968 1193 1738 2386 3476 4639 4772 6952 9278 9544 9559 13123 18556 19118 26246 37112 38236 51029 52492 76472 94247 102058 104984 144353 188494 204116 288706 366481 376988 408232 561319 577412 732962 753976 1036717 1122638 1154824 1465924 2073434 2245276 2931848 4031291 4146868 4490552 5534327 8062582 8293736 11068654 11403887 16125164 22137308 22807774 32250328 44274616 44344201 45615548 60877597 88688402 91231096 121755194 177376804 243510388 354753608 437211833 487020776 669653567 874423666 1339307134 1748847332 2678614268 3497694664 4809330163 5357228536 9618660326 19237320652 38474641304 52902631793 105805263586 211610527172 423221054344