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4335220023345 = 3251272293312527
BaseRepresentation
bin111111000101011111001…
…111111110000000110001
3120100102221221022021220100
4333011133033332000301
51032012012311221340
613115323402303013
7625131536123331
oct77053717760061
916312857267810
104335220023345
111421613758782
125a02404b7a69
13255a6a5c6233
1410db7bca30c1
1577b806ab830
hex3f15f3fe031

4335220023345 has 48 divisors (see below), whose sum is σ = 7606624296960. Its totient is φ = 2283893926272.

The previous prime is 4335220023331. The next prime is 4335220023359. The reversal of 4335220023345 is 5433200225334.

It is a happy number.

4335220023345 is a `hidden beast` number, since 43 + 3 + 52 + 200 + 23 + 345 = 666.

It is an interprime number because it is at equal distance from previous prime (4335220023331) and next prime (4335220023359).

It is not a de Polignac number, because 4335220023345 - 25 = 4335220023313 is a prime.

It is a super-3 number, since 3×43352200233453 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347529 + ... + 2964998.

It is an arithmetic number, because the mean of its divisors is an integer number (158471339520).

Almost surely, 24335220023345 is an apocalyptic number.

4335220023345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4335220023345 is a deficient number, since it is larger than the sum of its proper divisors (3271404273615).

4335220023345 is a wasteful number, since it uses less digits than its factorization.

4335220023345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312894 (or 3312891 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 4335220023345 its reverse (5433200225334), we get a palindrome (9768420248679).

The spelling of 4335220023345 in words is "four trillion, three hundred thirty-five billion, two hundred twenty million, twenty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 127 229 381 635 687 1143 1145 1905 2061 3435 5715 10305 29083 87249 145415 261747 436245 1308735 3312527 9937581 16562635 29812743 49687905 149063715 420690929 758568683 1262072787 2103454645 2275706049 3786218361 3792843415 6310363935 6827118147 11378530245 18931091805 34135590735 96338222741 289014668223 481691113705 867044004669 1445073341115 4335220023345