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200231243223144 = 233717939311693817
BaseRepresentation
bin101101100001101111111000…
…001000000001000001101000
3222020221220211121112220222120
4231201233320020001001220
5202221042041231120034
61545504544022151240
760114141603266610
oct5541577010010150
9866856747486876
10200231243223144
1158888658866521
121a55a1a6282520
1387959573bc233
14376335b2d1a40
15182371a364c49
hexb61bf8201068

200231243223144 has 128 divisors (see below), whose sum is σ = 575431981286400. Its totient is φ = 56874818142720.

The previous prime is 200231243223127. The next prime is 200231243223157. The reversal of 200231243223144 is 441322342132002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117366124 + ... + 119059940.

It is an arithmetic number, because the mean of its divisors is an integer number (4495562353800).

Almost surely, 2200231243223144 is an apocalyptic number.

200231243223144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200231243223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287715990643200).

200231243223144 is an abundant number, since it is smaller than the sum of its proper divisors (375200738063256).

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

200231243223144 is a wasteful number, since it uses less digits than its factorization.

200231243223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697943 (or 1697939 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 200231243223144 its reverse (441322342132002), we get a palindrome (641553585355146).

The spelling of 200231243223144 in words is "two hundred trillion, two hundred thirty-one billion, two hundred forty-three million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 537 716 1074 1253 1432 2148 2506 3759 3931 4296 5012 7518 7862 10024 11793 15036 15724 23586 27517 30072 31448 47172 55034 82551 94344 110068 165102 220136 330204 660408 703649 1407298 1693817 2110947 2814596 3387634 4221894 4925543 5081451 5629192 6775268 8443788 9851086 10162902 11856719 13550536 14776629 16887576 19702172 20325804 23713438 29553258 35570157 39404344 40651608 47426876 59106516 71140314 94853752 118213032 142280628 284561256 303193243 606386486 909579729 1212772972 1819159458 2122352701 2425545944 3638318916 4244705402 6367058103 6658394627 7276637832 8489410804 12734116206 13316789254 16978821608 19975183881 25468232412 26633578508 39950367762 46608762389 50936464824 53267157016 79900735524 93217524778 139826287167 159801471048 186435049556 279652574334 372870099112 559305148668 1118610297336 1191852638233 2383705276466 3575557914699 4767410552932 7151115829398 8342968467631 9534821105864 14302231658796 16685936935262 25028905402893 28604463317592 33371873870524 50057810805786 66743747741048 100115621611572 200231243223144