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4217311344 = 243439672113
BaseRepresentation
bin1111101101011111…
…0001000001110000
3101212220121121120110
43323113301001300
532114112430334
61534251341320
7206336361231
oct37327610160
911786547513
104217311344
111874620484
12998451840
1352295a3cc
142c0161088
1519a39dae9
hexfb5f1070

4217311344 has 80 divisors (see below), whose sum is σ = 11164896512. Its totient is φ = 1371009024.

The previous prime is 4217311339. The next prime is 4217311367. The reversal of 4217311344 is 4431137124.

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 15 ways as a sum of consecutive naturals, for example, 1994832 + ... + 1996944.

Almost surely, 24217311344 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 4217311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582448256).

4217311344 is an abundant number, since it is smaller than the sum of its proper divisors (6947585168).

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

4217311344 is a wasteful number, since it uses less digits than its factorization.

4217311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3128 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 4217311344 is about 64940.8295604545. The cubic root of 4217311344 is about 1615.6423231367.

Adding to 4217311344 its reverse (4431137124), we get a palindrome (8648448468).

The spelling of 4217311344 in words is "four billion, two hundred seventeen million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 967 1032 1934 2064 2113 2901 3868 4226 5802 6339 7736 8452 11604 12678 15472 16904 23208 25356 33808 41581 46416 50712 83162 90859 101424 124743 166324 181718 249486 272577 332648 363436 498972 545154 665296 726872 997944 1090308 1453744 1995888 2043271 2180616 4086542 4361232 6129813 8173084 12259626 16346168 24519252 32692336 49038504 87860653 98077008 175721306 263581959 351442612 527163918 702885224 1054327836 1405770448 2108655672 4217311344