Search a number
-
+
4127447214 = 23211229101647
BaseRepresentation
bin1111011000000011…
…1101100010101110
3101122122112001011100
43312000331202232
531423111302324
61521321303530
7204165502542
oct36600754256
911578461140
104127447214
111828922200
12972334ba6
1350a155277
142b224ba22
1519254c4c9
hexf603d8ae

4127447214 has 144 divisors (see below), whose sum is σ = 10285198560. Its totient is φ = 1193808000.

The previous prime is 4127447213. The next prime is 4127447279.

4127447214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127447213) 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 71 ways as a sum of consecutive naturals, for example, 6379039 + ... + 6379685.

It is an arithmetic number, because the mean of its divisors is an integer number (71424990).

Almost surely, 24127447214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127447214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142599280).

4127447214 is an abundant number, since it is smaller than the sum of its proper divisors (6157751346).

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

4127447214 is a wasteful number, since it uses less digits than its factorization.

4127447214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 4127447214 is about 64245.2116036674. The cubic root of 4127447214 is about 1604.0842547413.

It can be divided in two parts, 41274 and 47214, that added together give a palindrome (88488).

The spelling of 4127447214 in words is "four billion, one hundred twenty-seven million, four hundred forty-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 101 121 174 198 202 242 261 303 319 363 522 606 638 647 726 909 957 1089 1111 1294 1818 1914 1941 2178 2222 2871 2929 3333 3509 3882 5742 5823 5858 6666 7018 7117 8787 9999 10527 11646 12221 14234 17574 18763 19998 21054 21351 24442 26361 31581 32219 36663 37526 42702 52722 56289 63162 64053 64438 65347 73326 78287 96657 109989 112578 128106 130694 156574 168867 193314 196041 206393 219978 234861 289971 337734 354409 392082 412786 469722 579942 588123 619179 704583 708818 718817 1063227 1176246 1238358 1409166 1437634 1857537 1895063 2126454 2156451 2270323 3189681 3715074 3790126 4312902 4540646 5685189 6379362 6469353 6810969 7906987 11370378 12938706 13621938 15813974 17055567 20432907 20845693 23720961 34111134 40865814 41691386 47441922 62537079 71162883 125074158 142325766 187611237 229302623 375222474 458605246 687907869 1375815738 2063723607 4127447214