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14212421440110 = 23252233251217823
BaseRepresentation
bin1100111011010001011001…
…0101001101001001101110
31212022200202002100011202100
43032310112111031021232
53330324014342040420
650121032443435530
72664546023660505
oct316642625151156
955280662304670
1014212421440110
11458a4aa427673
121716567225ba6
137c12c1814c8a
14371c5611383c
15199a6eade190
hexced1654d26e

14212421440110 has 96 divisors (see below), whose sum is σ = 37129588973568. Its totient is φ = 3771805752000.

The previous prime is 14212421440079. The next prime is 14212421440153. The reversal of 14212421440110 is 1104412421241.

14212421440110 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 242 + 1 + 4 + 401 + 10 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 65138659 + ... + 65356481.

It is an arithmetic number, because the mean of its divisors is an integer number (386766551808).

Almost surely, 214212421440110 is an apocalyptic number.

14212421440110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14212421440110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564794486784).

14212421440110 is an abundant number, since it is smaller than the sum of its proper divisors (22917167533458).

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

14212421440110 is a wasteful number, since it uses less digits than its factorization.

14212421440110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221310 (or 221307 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14212421440110 its reverse (1104412421241), we get a palindrome (15316833861351).

The spelling of 14212421440110 in words is "fourteen trillion, two hundred twelve billion, four hundred twenty-one million, four hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 3251 3345 4014 6502 6690 9753 10035 16255 19506 20070 29259 32510 48765 58518 97530 146295 217823 292590 435646 653469 724973 1089115 1306938 1449946 1960407 2174919 2178230 3267345 3624865 3920814 4349838 6524757 6534690 7249730 9802035 10874595 13049514 19604070 21749190 32623785 48574529 65247570 97149058 145723587 242872645 291447174 437170761 485745290 708142573 728617935 874341522 1416285146 1457235870 2124427719 2185853805 3540712865 4248855438 4371707610 6373283157 7081425730 10622138595 12746566314 21244277190 31866415785 63732831570 157915793779 315831587558 473747381337 789578968895 947494762674 1421242144011 1579157937790 2368736906685 2842484288022 4737473813370 7106210720055 14212421440110