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4045335141321 = 321997523466321
BaseRepresentation
bin111010110111100000110…
…000111001101111001001
3112022201201100202111110100
4322313200300321233021
51012234321244010241
612334222403240013
7565160114231565
oct72674060715711
915281640674410
104045335141321
11131a687253311
1255401a679009
1323462028c846
14ddb1c2cc6a5
15703660499b6
hex3ade0c39bc9

4045335141321 has 48 divisors (see below), whose sum is σ = 6226107509440. Its totient is φ = 2523768606720.

The previous prime is 4045335141257. The next prime is 4045335141329. The reversal of 4045335141321 is 1231415335404.

4045335141321 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 3 + 3 + 514 + 132 + 1 = 666.

It is not a de Polignac number, because 4045335141321 - 26 = 4045335141257 is a prime.

It is a super-3 number, since 3×40453351413213 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4045335141329) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8441841 + ... + 8908161.

Almost surely, 24045335141321 is an apocalyptic number.

It is an amenable number.

4045335141321 is a deficient number, since it is larger than the sum of its proper divisors (2180772368119).

4045335141321 is a wasteful number, since it uses less digits than its factorization.

4045335141321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466966 (or 466963 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 4045335141321 in words is "four trillion, forty-five billion, three hundred thirty-five million, one hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 19 57 97 171 291 523 873 1569 1843 4707 5529 9937 16587 29811 50731 89433 152193 456579 466321 963889 1398963 2891667 4196889 8675001 8860099 26580297 45233137 79740891 135699411 243885883 407098233 731657649 859429603 2194972947 2578288809 4633831777 7734866427 13901495331 23656930651 41704485993 70970791953 212912375859 449481682369 1348445047107 4045335141321