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14365656342 = 2342341271347
BaseRepresentation
bin11010110000100001…
…01000010100010110
31101002011111221210000
431120100220110112
5213410102000332
610333253512130
71015665031002
oct153020502426
941064457700
1014365656342
116102047264
12294b042646
13147c2b738b
149a3c9b702
155912b0b7c
hex358428516

14365656342 has 160 divisors (see below), whose sum is σ = 34635009024. Its totient is φ = 4439318400.

The previous prime is 14365656299. The next prime is 14365656367. The reversal of 14365656342 is 24365656341.

14365656342 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 5 + 6 + 5 + 634 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41399413 + ... + 41399759.

Almost surely, 214365656342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14365656342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317504512).

14365656342 is an abundant number, since it is smaller than the sum of its proper divisors (20269352682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14365656342 is a wasteful number, since it uses less digits than its factorization.

14365656342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

Subtracting 14365656342 from its reverse (24365656341), we obtain a palindrome (9999999999).

The spelling of 14365656342 in words is "fourteen billion, three hundred sixty-five million, six hundred fifty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 81 82 123 138 162 207 246 271 347 369 414 542 621 694 738 813 943 1041 1107 1242 1626 1863 1886 2082 2214 2439 2829 3123 3321 3726 4878 5658 6233 6246 6642 7317 7981 8487 9369 11111 12466 14227 14634 15962 16974 18699 18738 21951 22222 23943 25461 28107 28454 33333 37398 42681 43902 47886 50922 56097 56214 66666 71829 76383 85362 94037 99999 112194 128043 143658 152766 168291 188074 199998 215487 255553 256086 282111 299997 327221 336582 384129 430974 504873 511106 564222 599994 646461 654442 766659 768258 846333 899991 981663 1009746 1152387 1292922 1533318 1692666 1799982 1963326 2162851 2299977 2304774 2538999 2944989 3855517 4325702 4599954 5077998 5889978 6488553 6899931 7616997 7711034 8834967 11566551 12977106 13799862 15233994 17669934 19465659 20699793 23133102 26504901 34699653 38931318 41399586 53009802 58396977 69399306 88676891 104098959 116793954 175190931 177353782 208197918 266030673 312296877 350381862 532061346 624593754 798092019 1596184038 2394276057 4788552114 7182828171 14365656342