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14041234200114 = 232111311033752369
BaseRepresentation
bin1100110001010011101011…
…0001101101011000110010
31211201022212202100100112100
43030110322301231120302
53320022421423400424
645510242015041230
72646305605310322
oct314247261553062
954638782310470
1014041234200114
114523943719520
1216a9350b10216
137ab10c913624
1436785690d282
151953a0e28dc9
hexcc53ac6d632

14041234200114 has 96 divisors (see below), whose sum is σ = 33445591882560. Its totient is φ = 4221950054400.

The previous prime is 14041234200107. The next prime is 14041234200131. The reversal of 14041234200114 is 41100243214041.

14041234200114 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 123 + 420 + 0 + 114 = 666.

14041234200114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140412342001142 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268094922 + ... + 268147290.

It is an arithmetic number, because the mean of its divisors is an integer number (348391582110).

Almost surely, 214041234200114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14041234200114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722795941280).

14041234200114 is an abundant number, since it is smaller than the sum of its proper divisors (19404357682446).

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

14041234200114 is a wasteful number, since it uses less digits than its factorization.

14041234200114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62856 (or 62853 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14041234200114 its reverse (41100243214041), we get a palindrome (55141477414155).

The spelling of 14041234200114 in words is "fourteen trillion, forty-one billion, two hundred thirty-four million, two hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 2358 2882 4323 8646 10337 12969 20674 25938 31011 52369 62022 93033 104738 113707 157107 186066 227414 314214 341121 471321 576059 682242 942642 1023363 1152118 1354147 1728177 2046726 2708294 3456354 4062441 5184531 6860339 8124882 10369062 12187323 13720678 14895617 20581017 24374646 29791234 41162034 44686851 61743051 75463729 89373702 123486102 134060553 150927458 226391187 268121106 452782374 541338353 679173561 1082676706 1358347122 1624015059 3248030118 4872045177 5954721883 9744090354 11909443766 17864165649 35728331298 53592496947 70915324243 107184993894 141830648486 212745972729 425491945458 638237918187 780068566673 1276475836374 1560137133346 2340205700019 4680411400038 7020617100057 14041234200114