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1442210014014 = 23711231131201103
BaseRepresentation
bin10100111111001010011…
…010100110001100111110
312002212121002120200021020
4110333022122212030332
5142112121230422024
63022313033445010
7206124210565260
oct24771232461476
95085532520236
101442210014014
11506701a555a0
121b3615270766
13a5ccc7b5b23
144db364ddb30
15277adb90979
hex14fca6a633e

1442210014014 has 128 divisors (see below), whose sum is σ = 3785726066688. Its totient is φ = 355141839360.

The previous prime is 1442210014001. The next prime is 1442210014039. The reversal of 1442210014014 is 4104100122441.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 600187 + ... + 1801289.

It is an arithmetic number, because the mean of its divisors is an integer number (29575984896).

Almost surely, 21442210014014 is an apocalyptic number.

1442210014014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442210014014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892863033344).

1442210014014 is an abundant number, since it is smaller than the sum of its proper divisors (2343516052674).

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

1442210014014 is a wasteful number, since it uses less digits than its factorization.

1442210014014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201262.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1442210014014 its reverse (4104100122441), we get a palindrome (5546310136455).

The spelling of 1442210014014 in words is "one trillion, four hundred forty-two billion, two hundred ten million, fourteen thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 113 138 154 161 226 231 253 322 339 462 483 506 678 759 791 966 1243 1518 1582 1771 2373 2486 2599 3542 3729 4746 5198 5313 7458 7797 8701 10626 15594 17402 18193 26103 28589 36386 52206 54579 57178 85767 109158 171534 200123 400246 600369 1200738 1201103 2402206 3603309 7206618 8407721 13212133 16815442 25223163 26424266 27625369 39636399 50446326 55250738 79272798 82876107 92484931 135724639 165752214 184969862 193377583 271449278 277454793 303879059 386755166 407173917 554909586 580132749 607758118 814347834 911637177 950072473 1160265498 1492971029 1823274354 1900144946 2127153413 2850217419 2985942058 3121666697 4254306826 4478913087 5700434838 6243333394 6381460239 8957826174 9365000091 10450797203 12762920478 18730000182 20901594406 21851666879 31352391609 34338333667 43703333758 62704783218 65555000637 68676667334 103015001001 131110001274 206030002002 240368335669 480736671338 721105007007 1442210014014