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233140041332 = 221113146218753
BaseRepresentation
bin1101100100100000111…
…0101011011001110100
3211021202221010012210122
43121020032223121310
512304432322310312
6255034132111112
722562266440212
oct3311016533164
9737687105718
10233140041332
118a968525810
1239226165498
1318ca60bb8a3
14b3d9587cb2
1560e7aa5b72
hex36483ab674

233140041332 has 48 divisors (see below), whose sum is σ = 448631434944. Its totient is φ = 105129024000.

The previous prime is 233140041331. The next prime is 233140041353.

233140041332 is nontrivially palindromic in base 10.

233140041332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233140041331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26631068 + ... + 26639820.

It is an arithmetic number, because the mean of its divisors is an integer number (9346488228).

Almost surely, 2233140041332 is an apocalyptic number.

233140041332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233140041332 is a deficient number, since it is larger than the sum of its proper divisors (215491393612).

233140041332 is a wasteful number, since it uses less digits than its factorization.

233140041332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13520 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2331400 and 41332, that added together give a palindrome (2372732).

The spelling of 233140041332 in words is "two hundred thirty-three billion, one hundred forty million, forty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 44 131 262 524 1441 2882 4621 5764 8753 9242 17506 18484 35012 50831 96283 101662 192566 203324 385132 605351 1146643 1210702 2293286 2421404 4586572 6658861 12613073 13317722 25226146 26635444 40447613 50452292 80895226 161790452 444923743 889847486 1779694972 5298637303 10597274606 21194549212 58285010333 116570020666 233140041332