Search a number
-
+
412320340300 = 2252111035476653
BaseRepresentation
bin1100000000000000011…
…01010001100101001100
31110102021022110111121211
412000000031101211030
523223413001342200
6513230051504204
741534453031331
oct6000015214514
91412238414554
10412320340300
111499560a0420
1267ab12b8064
132cb5cc72c2b
1415d5656a988
15aad3344aba
hex600035194c

412320340300 has 144 divisors (see below), whose sum is σ = 987501295872. Its totient is φ = 148185273600.

The previous prime is 412320340283. The next prime is 412320340343. The reversal of 412320340300 is 3043023214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 61971774 + ... + 61978426.

It is an arithmetic number, because the mean of its divisors is an integer number (6857647888).

Almost surely, 2412320340300 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 412320340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493750647936).

412320340300 is an abundant number, since it is smaller than the sum of its proper divisors (575180955572).

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

412320340300 is a wasteful number, since it uses less digits than its factorization.

412320340300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 412320340300 its reverse (3043023214), we get a palindrome (415363363514).

The spelling of 412320340300 in words is "four hundred twelve billion, three hundred twenty million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 547 550 1030 1094 1100 1133 2060 2188 2266 2575 2735 4532 5150 5470 5665 6017 6653 10300 10940 11330 12034 13306 13675 22660 24068 26612 27350 28325 30085 33265 54700 56341 56650 60170 66530 73183 112682 113300 120340 133060 146366 150425 166325 225364 281705 292732 300850 332650 365915 563410 601700 619751 665300 685259 731830 1126820 1239502 1370518 1408525 1463660 1829575 2479004 2741036 2817050 3098755 3426295 3639191 3659150 5634100 6197510 6852590 7278382 7318300 7537849 12395020 13705180 14556764 15075698 15493775 17131475 18195955 30151396 30987550 34262950 36391910 37689245 40031101 61975100 68525900 72783820 75378490 80062202 90979775 150756980 160124404 181959550 188446225 200155505 363919100 374836673 376892450 400311010 749673346 753784900 800622020 1000777525 1499346692 1874183365 2001555050 3748366730 4003110100 4123203403 7496733460 8246406806 9370916825 16492813612 18741833650 20616017015 37483667300 41232034030 82464068060 103080085075 206160170150 412320340300