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14019962216976 = 24341040092
BaseRepresentation
bin1100110000000100011011…
…0111100010001000010000
31211122021222021100122110000
43030001012313202020100
53314200340311420401
645452403130410000
72644623506401632
oct314010667421020
954567867318400
1014019962216976
114515918198771
1216a51b4b90900
137a90cc860161
143667d971aa52
15194a586a4186
hexcc046de2210

14019962216976 has 75 divisors (see below), whose sum is σ = 40578228317341. Its totient is φ = 4673275807104.

The previous prime is 14019962216969. The next prime is 14019962216977. The reversal of 14019962216976 is 67961226991041.

The square root of 14019962216976 is 3744324.

It is a perfect power (a square), and thus also a powerful number.

14019962216976 is a `hidden beast` number, since 1 + 401 + 9 + 9 + 6 + 2 + 216 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 747055976976 + 13272906240000 = 864324^2 + 3643200^2 .

It is a super-3 number, since 3×140199622169763 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14019962216977) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 134743660 + ... + 134847668.

Almost surely, 214019962216976 is an apocalyptic number.

14019962216976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14019962216976 is the 3744324-th square number.

It is an amenable number.

14019962216976 is an abundant number, since it is smaller than the sum of its proper divisors (26558266100365).

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

14019962216976 is an frugal number, since it uses more digits than its factorization.

14019962216976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208038 (or 104014 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 14019962216976 in words is "fourteen trillion, nineteen billion, nine hundred sixty-two million, two hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 104009 208018 312027 416036 624054 832072 936081 1248108 1664144 1872162 2496216 2808243 3744324 4992432 5616486 7488648 8424729 11232972 14977296 16849458 22465944 33698916 44931888 67397832 134795664 10817872081 21635744162 32453616243 43271488324 64907232486 86542976648 97360848729 129814464972 173085953296 194721697458 259628929944 292082546187 389443394916 519257859888 584165092374 778886789832 876247638561 1168330184748 1557773579664 1752495277122 2336660369496 3504990554244 4673320738992 7009981108488 14019962216976