Search a number
-
+
23304133140332 = 221117891210928909
BaseRepresentation
bin1010100110001111010101…
…00100111101111101101100
310001111212001002220002111112
411103013222210331331230
511023303331040442312
6121321434310211152
74623445100225222
oct523075244757554
9101455032802445
1023304133140332
117475255690570
1227445b7053ab8
13100075500bbb5
145a7cd7186b12
152a62d9a5cd22
hex1531ea93df6c

23304133140332 has 96 divisors (see below), whose sum is σ = 47641621608000. Its totient is φ = 9856508682240.

The previous prime is 23304133140331. The next prime is 23304133140367.

23304133140332 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23304133140331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806105894 + ... + 806134802.

It is an arithmetic number, because the mean of its divisors is an integer number (496266891750).

Almost surely, 223304133140332 is an apocalyptic number.

23304133140332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23304133140332 is an abundant number, since it is smaller than the sum of its proper divisors (24337488467668).

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

23304133140332 is a wasteful number, since it uses less digits than its factorization.

23304133140332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41139 (or 41137 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 2330413 and 3140332, that added together give a palindrome (5470745).

The spelling of 23304133140332 in words is "twenty-three trillion, three hundred four billion, one hundred thirty-three million, one hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 89 178 187 356 374 748 979 1513 1958 3026 3916 6052 12109 16643 24218 28909 33286 48436 57818 66572 115636 133199 205853 266398 317999 411706 491453 532796 635998 823412 982906 1077701 1271996 1965812 2155402 2264383 2572901 4310804 4528766 5145802 5405983 9057532 10291604 10811966 11854711 18320917 21623932 23709422 28301911 36641834 43739317 47418844 56603822 73283668 87478634 113207644 174957268 201530087 350059081 403060174 481132487 700118162 806120348 962264974 1400236324 1924529948 3850649891 5951004377 7701299782 11902008754 15402599564 23804017508 31155258209 62310516418 65461048147 124621032836 130922096294 261844192588 342707840299 529639389553 685415680598 1059278779106 1370831361196 2118557558212 5826033285083 11652066570166 23304133140332