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14000120221241 = 7211223200358151
BaseRepresentation
bin1100101110111010100000…
…1100010100111000111001
31211120101202110010211022002
43023232220030110320321
53313334221234034431
645435322203510345
72643322013252600
oct313565014247071
954511673124262
1014000120221241
114508465978690
1216a1397b283b5
137a7289b2778b
14365876404a37
151942967493cb
hexcbba8314e39

14000120221241 has 48 divisors (see below), whose sum is σ = 17855272931328. Its totient is φ = 10854655812000.

The previous prime is 14000120221229. The next prime is 14000120221247. The reversal of 14000120221241 is 14212202100041.

14000120221241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14000120221241 - 214 = 14000120204857 is a prime.

It is a super-2 number, since 2×140001202212412 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14000120221247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240725516 + ... + 240783666.

It is an arithmetic number, because the mean of its divisors is an integer number (371984852736).

Almost surely, 214000120221241 is an apocalyptic number.

14000120221241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14000120221241 is a deficient number, since it is larger than the sum of its proper divisors (3855152710087).

14000120221241 is a wasteful number, since it uses less digits than its factorization.

14000120221241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60402 (or 60395 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14000120221241 its reverse (14212202100041), we get a palindrome (28212322321282).

The spelling of 14000120221241 in words is "fourteen trillion, one hundred twenty million, two hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 7 11 49 77 223 539 1561 2003 2453 10927 14021 17171 22033 58151 98147 120197 154231 407057 446669 639661 1079617 2849399 3126683 4477627 4913359 12967673 21886781 31343389 34393513 90773711 116476453 142644403 240754591 635415977 815335171 998510821 1281240983 5707346197 6989575747 8968686881 25974249019 62780808167 181819743133 285716739209 1272738201931 2000017174463 14000120221241