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14346013042350 = 23252114761663499
BaseRepresentation
bin1101000011000011000100…
…0000101110011010101110
31212210110120022111201102100
43100300301000232122232
53340021113314323400
650302244543235530
73010315401602433
oct320606100563256
955713508451370
1014346013042350
1146311233a9710
12173842a8a8ba6
13800a91819422
143784ca5c3b8a
1519d28ce06100
hexd0c3102e6ae

14346013042350 has 144 divisors (see below), whose sum is σ = 42941474784000. Its totient is φ = 3403825089600.

The previous prime is 14346013042337. The next prime is 14346013042367. The reversal of 14346013042350 is 5324031064341.

14346013042350 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 601 + 3 + 0 + 42 + 3 + 5 + 0 = 666.

It is a super-2 number, since 2×143460130423502 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30599100 + ... + 31064399.

It is an arithmetic number, because the mean of its divisors is an integer number (298204686000).

Almost surely, 214346013042350 is an apocalyptic number.

14346013042350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14346013042350 is an abundant number, since it is smaller than the sum of its proper divisors (28595461741650).

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

14346013042350 is a wasteful number, since it uses less digits than its factorization.

14346013042350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61663575 (or 61663567 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 14346013042350 in words is "fourteen trillion, three hundred forty-six billion, thirteen million, forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 47 50 55 66 75 90 94 99 110 141 150 165 198 225 235 275 282 330 423 450 470 495 517 550 705 825 846 990 1034 1175 1410 1551 1650 2115 2350 2475 2585 3102 3525 4230 4653 4950 5170 7050 7755 9306 10575 12925 15510 21150 23265 25850 38775 46530 77550 116325 232650 61663499 123326998 184990497 308317495 369980994 554971491 616634990 678298489 924952485 1109942982 1356596978 1541587475 1849904970 2034895467 2774857455 2898184453 3083174950 3391492445 4069790934 4624762425 5549714910 5796368906 6104686401 6782984890 8694553359 9249524850 10174477335 12209372802 13874287275 14490922265 16957462225 17389106718 20348954670 26083660077 27748574550 28981844530 30523432005 31880028983 33914924450 43472766795 50872386675 52167320154 61046864010 63760057966 72454611325 86945533590 95640086949 101744773350 130418300385 144909222650 152617160025 159400144915 191280173898 217363833975 260836600770 286920260847 305234320050 318800289830 434727667950 478200434745 573840521694 652091501925 797000724575 956400869490 1304183003850 1434601304235 1594001449150 2391002173725 2869202608470 4782004347450 7173006521175 14346013042350