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714133563741 = 3213219142717317
BaseRepresentation
bin10100110010001011010…
…11010110100101011101
32112021022012021211022200
422121011223112211131
543200021143014431
61304022440402113
7102410616064503
oct12310553264535
92467265254280
10714133563741
11255953863294
12b64a1a76339
135245b641700
14267c8428673
1513899cbeee6
hexa645ad695d

714133563741 has 72 divisors (see below), whose sum is σ = 1176658348320. Its totient is φ = 416021194368.

The previous prime is 714133563683. The next prime is 714133563743. The reversal of 714133563741 is 147365331417.

714133563741 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 3 + 3 + 5 + 637 + 4 + 1 = 666.

It is not a de Polignac number, because 714133563741 - 29 = 714133563229 is a prime.

It is a super-2 number, since 2×7141335637412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714133563743) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41230215 + ... + 41247531.

It is an arithmetic number, because the mean of its divisors is an integer number (16342477060).

Almost surely, 2714133563741 is an apocalyptic number.

It is an amenable number.

714133563741 is a deficient number, since it is larger than the sum of its proper divisors (462524784579).

714133563741 is a wasteful number, since it uses less digits than its factorization.

714133563741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18795 (or 18779 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 714133563741 in words is "seven hundred fourteen billion, one hundred thirty-three million, five hundred sixty-three thousand, seven hundred forty-one".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 507 741 1427 1521 2223 3211 4281 9633 12843 17317 18551 27113 28899 51951 55653 81339 155853 166959 225121 241163 244017 329023 352469 675363 723489 987069 1057407 2026089 2170467 2926573 2961207 3172221 4277299 4582097 8779719 12831897 13746291 24711359 26339157 38495691 41238873 55604887 74134077 166814661 222402231 321247667 469515821 500443983 963743001 1408547463 2891229003 4176219671 4225642389 6103705673 12528659013 18311117019 37585977039 54933351057 79348173749 238044521247 714133563741