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14213096040676 = 2213283217472
BaseRepresentation
bin1100111011010011111010…
…0010100110100011100100
31212022202111002201102202111
43032310332202212203210
53330331410041300201
650121223422450404
72664601524664141
oct316647642464344
955282432642674
1014213096040676
11458a8161a8aa5
121716715133a04
137c139b500400
14371cbb9593c8
15199aade45b51
hexced3e8a68e4

14213096040676 has 81 divisors (see below), whose sum is σ = 27277418725641. Its totient is φ = 6477145949664.

The previous prime is 14213096040641. The next prime is 14213096040679. The reversal of 14213096040676 is 67604069031241.

The square root of 14213096040676 is 3770026.

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

It can be written as a sum of positive squares in only one way, i.e., 2102529000100 + 12110567040576 = 1450010^2 + 3480024^2 .

It is a super-2 number, since 2×142130960406762 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14213096040679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8135715235 + ... + 8135716981.

Almost surely, 214213096040676 is an apocalyptic number.

14213096040676 is the 3770026-th square number.

It is an amenable number.

14213096040676 is a deficient number, since it is larger than the sum of its proper divisors (13064322684965).

14213096040676 is an frugal number, since it uses more digits than its factorization.

14213096040676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 14213096040676 by its sum of digits (49), we get a square (696441705993124 = 263901822).

The spelling of 14213096040676 in words is "fourteen trillion, two hundred thirteen billion, ninety-six million, forty thousand, six hundred seventy-six".

Divisors: 1 2 4 13 26 52 83 166 169 332 338 676 1079 1747 2158 3494 4316 6889 6988 13778 14027 22711 27556 28054 45422 56108 89557 90844 145001 179114 290002 295243 358228 580004 590486 1164241 1180972 1885013 2328482 3052009 3770026 4656964 6104018 7540052 12035083 12208036 24070166 24505169 39676117 48140332 49010338 79352234 98020676 156456079 158704468 253316747 312912158 506633494 515789521 625824316 1013266988 1031579042 2033929027 2063158084 3293117711 4067858054 6586235422 8135716108 13172470844 21025290001 42050580002 42810530243 84101160004 85621060486 171242120972 273328770013 546657540026 1093315080052 3553274010169 7106548020338 14213096040676