Search a number
-
+
14214114402420 = 22355871182134141
BaseRepresentation
bin1100111011010111101100…
…1111010110000001110100
31212022212010001221120110010
43032311323033112001310
53330341001241334140
650121512441500220
72664636001631622
oct316657317260164
955285101846403
1014214114402420
114590199023279
12171695a1a1670
137c150149911a
14371d76cc6512
15199b1d552880
hexced7b3d6074

14214114402420 has 96 divisors (see below), whose sum is σ = 39871862303616. Its totient is φ = 3783542284800.

The previous prime is 14214114402377. The next prime is 14214114402461. The reversal of 14214114402420 is 2420441141241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416318550 + ... + 416352690.

It is an arithmetic number, because the mean of its divisors is an integer number (415331898996).

Almost surely, 214214114402420 is an apocalyptic number.

14214114402420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214114402420 is an abundant number, since it is smaller than the sum of its proper divisors (25657747901196).

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

14214114402420 is a wasteful number, since it uses less digits than its factorization.

14214114402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46561 (or 46559 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 14214114402420 its reverse (2420441141241), we get a palindrome (16634555543661).

The spelling of 14214114402420 in words is "fourteen trillion, two hundred fourteen billion, one hundred fourteen million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 587 1174 1761 2348 2935 3522 5870 7044 8805 11740 11821 17610 23642 34141 35220 35463 47284 59105 68282 70926 102423 118210 136564 141852 170705 177315 204846 236420 341410 354630 409692 512115 682820 709260 1024230 2048460 6938927 13877854 20040767 20816781 27755708 34694635 40081534 41633562 60122301 69389270 80163068 83267124 100203835 104083905 120244602 138778540 200407670 208167810 240489204 300611505 400815340 403580761 416335620 601223010 807161522 1202446020 1210742283 1614323044 2017903805 2421484566 4035807610 4842969132 6053711415 8071615220 12107422830 24214845660 236901906707 473803813414 710705720121 947607626828 1184509533535 1421411440242 2369019067070 2842822880484 3553528600605 4738038134140 7107057201210 14214114402420