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14014120120 = 23571113350003
BaseRepresentation
bin11010000110100111…
…01000000010111000
31100011200001001201221
431003103220002320
5212200103320440
610234335121424
71004166025030
oct150323500270
940150031657
1014014120120
115a41672960
122871373274
131424513b90
1496d3108c0
155704c1d4a
hex3434e80b8

14014120120 has 128 divisors (see below), whose sum is σ = 42336483840. Its totient is φ = 4032023040.

The previous prime is 14014120117. The next prime is 14014120147. The reversal of 14014120120 is 2102141041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14014120094 and 14014120103.

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, 134962 + ... + 215041.

It is an arithmetic number, because the mean of its divisors is an integer number (330753780).

Almost surely, 214014120120 is an apocalyptic number.

14014120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14014120120 is an abundant number, since it is smaller than the sum of its proper divisors (28322363720).

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

14014120120 is a wasteful number, since it uses less digits than its factorization.

14014120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350045 (or 350041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14014120120 its reverse (2102141041), we get a palindrome (16116261161).

The spelling of 14014120120 in words is "fourteen billion, fourteen million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 350003 700006 1400012 1750015 2450021 2800024 3500030 3850033 4550039 4900042 7000060 7700066 9100078 9800084 12250105 14000120 15400132 18200156 19250165 19600168 22750195 24500210 26950231 30800264 31850273 36400312 38500330 45500390 49000420 50050429 53900462 63700546 77000660 91000780 98000840 100100858 107800924 127401092 134751155 154001320 159251365 182001560 200201716 215601848 250252145 254802184 269502310 318502730 350353003 400403432 500504290 539004620 637005460 700706006 1001008580 1078009240 1274010920 1401412012 1751765015 2002017160 2802824024 3503530030 7007060060 14014120120