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4334021732240 = 245194532962903
BaseRepresentation
bin111111000100010111110…
…100110110011110010000
3120100022212102111210112022
4333010113310312132100
51032002034030412430
613115004434551012
7625060045613264
oct77042764663620
916308772453468
104334021732240
111421059309952
1259bb67138468
1325590927c845
1410daa6a9a0a4
1577b103ac4e5
hex3f117d36790

4334021732240 has 80 divisors (see below), whose sum is σ = 10607350550400. Its totient is φ = 1642303789056.

The previous prime is 4334021732213. The next prime is 4334021732251. The reversal of 4334021732240 is 422371204334.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×43340217322402 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4334021732240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68868629 + ... + 68931531.

It is an arithmetic number, because the mean of its divisors is an integer number (132591881880).

Almost surely, 24334021732240 is an apocalyptic number.

4334021732240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334021732240 is an abundant number, since it is smaller than the sum of its proper divisors (6273328818160).

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

4334021732240 is a wasteful number, since it uses less digits than its factorization.

4334021732240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108264 (or 108258 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

Adding to 4334021732240 its reverse (422371204334), we get a palindrome (4756392936574).

The spelling of 4334021732240 in words is "four trillion, three hundred thirty-four billion, twenty-one million, seven hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 45329 62903 90658 125806 181316 226645 251612 314515 362632 453290 503224 629030 725264 861251 906580 1006448 1195157 1258060 1722502 1813160 2390314 2516120 3445004 3626320 4306255 4780628 5032240 5975785 6890008 8612510 9561256 11951570 13780016 17225020 19122512 23903140 34450040 47806280 68900080 95612560 2851330087 5702660174 11405320348 14256650435 22810640696 28513300870 45621281392 54175271653 57026601740 108350543306 114053203480 216701086612 228106406960 270876358265 433402173224 541752716530 866804346448 1083505433060 2167010866120 4334021732240