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4332140145441 = 3223173162774353
BaseRepresentation
bin111111000010100111101…
…011001010101100100001
3120100011000021222021200100
4333002213223022230201
51031434210334123231
613114054022013013
7624662320443423
oct77024753125441
916304007867610
104332140145441
11142028319a939
1259b720b77169
132556994c5084
1410d968c26813
1577a500da1e6
hex3f0a7acab21

4332140145441 has 48 divisors (see below), whose sum is σ = 6571470761856. Its totient is φ = 2744830775808.

The previous prime is 4332140145439. The next prime is 4332140145451. The reversal of 4332140145441 is 1445410412334.

It is a happy number.

4332140145441 is a `hidden beast` number, since 4 + 3 + 32 + 1 + 40 + 145 + 441 = 666.

It is not a de Polignac number, because 4332140145441 - 21 = 4332140145439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4332140145396 and 4332140145405.

It is not an unprimeable number, because it can be changed into a prime (4332140145451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58227321 + ... + 58301673.

It is an arithmetic number, because the mean of its divisors is an integer number (136905640872).

Almost surely, 24332140145441 is an apocalyptic number.

It is an amenable number.

4332140145441 is a deficient number, since it is larger than the sum of its proper divisors (2239330616415).

4332140145441 is a wasteful number, since it uses less digits than its factorization.

4332140145441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76182 (or 76179 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4332140145441 its reverse (1445410412334), we get a palindrome (5777550557775).

The spelling of 4332140145441 in words is "four trillion, three hundred thirty-two billion, one hundred forty million, one hundred forty-five thousand, four hundred forty-one".

Divisors: 1 3 9 23 69 173 207 519 1557 1627 3979 4881 11937 14643 35811 37421 74353 112263 223059 281471 336789 669177 844413 1710119 2533239 5130357 6473833 12863069 15391071 19421499 38589207 58264497 115767621 120972331 295850587 362916993 887551761 1088750979 2662655283 2782363613 8347090839 20928213263 25041272517 62784639789 188353919367 481348905049 1444046715147 4332140145441