Search a number
-
+
4134445458 = 231113171372069
BaseRepresentation
bin1111011001101110…
…1010000110010010
3101200010200120221120
43312123222012102
531431404223313
61522131303110
7204312130563
oct36633520622
911603616846
104134445458
111831872080
1297474aa96
1350b735740
142b315016a
15192e80d23
hexf66ea192

4134445458 has 128 divisors (see below), whose sum is σ = 10366030080. Its totient is φ = 1079992320.

The previous prime is 4134445451. The next prime is 4134445459. The reversal of 4134445458 is 8545444314.

It is not an unprimeable number, because it can be changed into a prime (4134445451) by changing a digit.

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, 1997248 + ... + 1999316.

It is an arithmetic number, because the mean of its divisors is an integer number (80984610).

Almost surely, 24134445458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134445458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183015040).

4134445458 is an abundant number, since it is smaller than the sum of its proper divisors (6231584622).

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

4134445458 is a wasteful number, since it uses less digits than its factorization.

4134445458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252.

The product of its digits is 614400, while the sum is 42.

The square root of 4134445458 is about 64299.6536382584. The cubic root of 4134445458 is about 1604.9903381567.

The spelling of 4134445458 in words is "four billion, one hundred thirty-four million, four hundred forty-five thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 137 143 187 221 274 286 374 411 429 442 561 663 822 858 1122 1326 1507 1781 2069 2329 2431 3014 3562 4138 4521 4658 4862 5343 6207 6987 7293 9042 10686 12414 13974 14586 19591 22759 25619 26897 30277 35173 39182 45518 51238 53794 58773 60554 68277 70346 76857 80691 90831 105519 117546 136554 153714 161382 181662 211038 283453 295867 333047 386903 457249 566906 591734 666094 773806 850359 887601 914498 999141 1160709 1371747 1700718 1775202 1998282 2321418 2743494 3117983 3684889 4818701 5029739 6235966 7369778 9353949 9637402 10059478 11054667 14456103 15089217 18707898 22109334 28912206 30178434 40533779 53005711 62643113 81067558 106011422 121601337 125286226 159017133 187929339 243202674 318034266 375858678 689074243 1378148486 2067222729 4134445458