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6400114710 = 23511214911833
BaseRepresentation
bin1011111010111101…
…00000000000010110
3121112000221111212120
411331132200000112
5101101412132320
62535024400410
7314413035363
oct57536400026
917460844776
106400114710
112794774a00
1212a7476106
137acc4a632
1444a00346a
15276d20440
hex17d7a0016

6400114710 has 96 divisors (see below), whose sum is σ = 16998357600. Its totient is φ = 1540999680.

The previous prime is 6400114663. The next prime is 6400114727. The reversal of 6400114710 is 174110046.

It is a super-3 number, since 3×64001147103 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534954 + ... + 546786.

It is an arithmetic number, because the mean of its divisors is an integer number (177066225).

Almost surely, 26400114710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6400114710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499178800).

6400114710 is an abundant number, since it is smaller than the sum of its proper divisors (10598242890).

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

6400114710 is a wasteful number, since it uses less digits than its factorization.

6400114710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014 (or 12003 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 6400114710 is about 80000.7169342875. The cubic root of 6400114710 is about 1856.6466258092.

Adding to 6400114710 its reverse (174110046), we get a palindrome (6574224756).

The spelling of 6400114710 in words is "six billion, four hundred million, one hundred fourteen thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 149 165 242 298 330 363 447 605 726 745 894 1210 1490 1639 1815 2235 3278 3630 4470 4917 8195 9834 11833 16390 18029 23666 24585 35499 36058 49170 54087 59165 70998 90145 108174 118330 130163 177495 180290 260326 270435 354990 390489 540870 650815 780978 1301630 1431793 1763117 1952445 2863586 3526234 3904890 4295379 5289351 7158965 8590758 8815585 10578702 14317930 17631170 19394287 21476895 26446755 38788574 42953790 52893510 58182861 96971435 116365722 193942870 213337157 290914305 426674314 581828610 640011471 1066685785 1280022942 2133371570 3200057355 6400114710