Search a number
-
+
4313111424 = 27373915199
BaseRepresentation
bin1000000010001010…
…01101101110000000
3102010120212202120120
410001011031232000
532313124031144
61551552540240
7211611561606
oct40105155600
912116782516
104313111424
1119137034a6
12a04551680
1353976034b
142ccb7b876
151a39c3e19
hex10114db80

4313111424 has 64 divisors (see below), whose sum is σ = 11472960000. Its totient is φ = 1435663872.

The previous prime is 4313111419. The next prime is 4313111477. The reversal of 4313111424 is 4241113134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4313111394 and 4313111403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276177 + ... + 291375.

It is an arithmetic number, because the mean of its divisors is an integer number (179265000).

Almost surely, 24313111424 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 4313111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736480000).

4313111424 is an abundant number, since it is smaller than the sum of its proper divisors (7159848576).

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

4313111424 is a wasteful number, since it uses less digits than its factorization.

4313111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15955 (or 15943 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4313111424 is about 65674.2828205988. The cubic root of 4313111424 is about 1627.7844394206.

Adding to 4313111424 its reverse (4241113134), we get a palindrome (8554224558).

The spelling of 4313111424 in words is "four billion, three hundred thirteen million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 739 1478 2217 2956 4434 5912 8868 11824 15199 17736 23648 30398 35472 45597 47296 60796 70944 91194 94592 121592 141888 182388 243184 283776 364776 486368 729552 972736 1459104 1945472 2918208 5836416 11232061 22464122 33696183 44928244 67392366 89856488 134784732 179712976 269569464 359425952 539138928 718851904 1078277856 1437703808 2156555712 4313111424