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4049317740321 = 347122921532699
BaseRepresentation
bin111010111011001110001…
…001010011111100100001
3112100002222220201111020000
4322323032021103330201
51012321000320142241
612340121512210213
7565360603612440
oct72731611237441
915302886644200
104049317740321
111321340331947
12554950399969
13234b063caab9
14dddb91d2d57
15704ea9d3eb6
hex3aece253f21

4049317740321 has 80 divisors (see below), whose sum is σ = 6924524112000. Its totient is φ = 2310083027712.

The previous prime is 4049317740313. The next prime is 4049317740331. The reversal of 4049317740321 is 1230477139404.

4049317740321 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 317 + 7 + 4 + 0 + 321 = 666.

It is not a de Polignac number, because 4049317740321 - 23 = 4049317740313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4049317740331) 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 79 ways as a sum of consecutive naturals, for example, 1500301630 + ... + 1500304328.

It is an arithmetic number, because the mean of its divisors is an integer number (86556551400).

Almost surely, 24049317740321 is an apocalyptic number.

It is an amenable number.

4049317740321 is a deficient number, since it is larger than the sum of its proper divisors (2875206371679).

4049317740321 is a wasteful number, since it uses less digits than its factorization.

4049317740321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 4049317740321 in words is "four trillion, forty-nine billion, three hundred seventeen million, seven hundred forty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 1229 2153 2699 3687 6459 8097 8603 11061 15071 18893 19377 24291 25809 33183 45213 56679 58131 72873 77427 99549 135639 170037 174393 218619 232281 406917 510111 696843 1220751 1530333 2646037 3317071 5810947 7938111 9951213 17432841 18522259 23219497 23814333 29853639 40676629 52298523 55566777 69658491 71442999 89560917 122029887 156895569 166700331 208975473 214328997 268682751 366089661 470686707 500100993 626926419 1098268983 1500302979 1880779257 3294806949 7141653863 21424961589 49991577041 64274884767 149974731123 192824654301 449924193369 578473962903 1349772580107 4049317740321