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4314306307365 = 3351071635713209
BaseRepresentation
bin111110110010000000101…
…100011110010100100101
3120021102222102110102222000
4332302000230132110211
51031141144403313430
613101544232555513
7623461350353415
oct76620054362445
916242872412860
104314306307365
11141376148938a
12598184552b99
13253ab6831b72
1410cb564d0645
1577359604e60
hex3ec80b1e525

4314306307365 has 128 divisors (see below), whose sum is σ = 7805125785600. Its totient is φ = 2260802327040.

The previous prime is 4314306307357. The next prime is 4314306307379. The reversal of 4314306307365 is 5637036034134.

4314306307365 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 3 + 0 + 630 + 7 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 4314306307365 - 23 = 4314306307357 is a prime.

It is a super-2 number, since 2×43143063073652 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4314306307365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1344437881 + ... + 1344441089.

It is an arithmetic number, because the mean of its divisors is an integer number (60977545200).

Almost surely, 24314306307365 is an apocalyptic number.

4314306307365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4314306307365 is a deficient number, since it is larger than the sum of its proper divisors (3490819478235).

4314306307365 is a wasteful number, since it uses less digits than its factorization.

4314306307365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 4314306307365 in words is "four trillion, three hundred fourteen billion, three hundred six million, three hundred seven thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 107 135 163 321 489 535 571 815 963 1467 1605 1713 2445 2855 2889 3209 4401 4815 5139 7335 8565 9627 14445 15417 16045 17441 22005 25695 28881 48135 52323 61097 77085 86643 87205 93073 144405 156969 183291 261615 279219 305485 343363 433215 465365 470907 523067 549873 784845 837657 916455 1030089 1396095 1569201 1649619 1716815 1832339 2354535 2512971 2615335 2749365 3090267 4188285 4707603 5150445 5497017 7846005 8248095 9161695 9270801 9958811 12564855 14122809 15451335 16491051 23538015 27485085 29876433 46354005 49473153 49794055 55968169 70614045 82455255 89629299 149382165 167904507 196060273 247365765 268887897 279840845 298671257 448146495 503713521 588180819 839522535 896013771 980301365 1344439485 1493356285 1511140563 1764542457 2518567605 2688041313 2940904095 4480068855 5293627371 7555702815 8064123939 8822712285 13440206565 26468136855 31957824499 40320619695 95873473497 159789122495 287620420491 479367367485 862861261473 1438102102455 4314306307365