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14212442134110 = 23511202939175419
BaseRepresentation
bin1100111011010001011110…
…0100001001011001011110
31212022200210112021112120210
43032310113210021121132
53330324040141242420
650121034503153250
72664546364610043
oct316642744113136
955280715245523
1014212442134110
11458a510081350
121716572145826
137c12c5bac24c
14371c58b7d1ca
15199a7182a9e0
hexced1790965e

14212442134110 has 128 divisors (see below), whose sum is σ = 37245473395200. Its totient is φ = 3442227909120.

The previous prime is 14212442134091. The next prime is 14212442134117. The reversal of 14212442134110 is 1143124421241.

It is a super-2 number, since 2×142124421341102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14212442134117) 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 63 ways as a sum of consecutive naturals, for example, 2622702981 + ... + 2622708399.

It is an arithmetic number, because the mean of its divisors is an integer number (290980260900).

Almost surely, 214212442134110 is an apocalyptic number.

14212442134110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14212442134110 is an abundant number, since it is smaller than the sum of its proper divisors (23033031261090).

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

14212442134110 is a wasteful number, since it uses less digits than its factorization.

14212442134110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11386.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 14212442134110 its reverse (1143124421241), we get a palindrome (15355566555351).

The spelling of 14212442134110 in words is "fourteen trillion, two hundred twelve billion, four hundred forty-two million, one hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2029 3917 4058 5419 6087 7834 10145 10838 11751 12174 16257 19585 20290 22319 23502 27095 30435 32514 39170 43087 44638 54190 58755 59609 60870 66957 81285 86174 111595 117510 119218 129261 133914 162570 178827 215435 223190 258522 298045 334785 357654 430870 596090 646305 669570 894135 1292610 1788270 7947593 10995151 15895186 21226223 21990302 23842779 32985453 39737965 42452446 47685558 54975755 63678669 65970906 79475930 87423523 106131115 109951510 119213895 120946661 127357338 164927265 174847046 212262230 233488453 238427790 241893322 262270569 318393345 329854530 362839983 437117615 466976906 524541138 604733305 636786690 700465359 725679966 874235230 1167442265 1209466610 1311352845 1400930718 1814199915 2334884530 2622705690 3502326795 3628399830 7004653590 43068006467 86136012934 129204019401 215340032335 258408038802 430680064670 473748071137 646020097005 947496142274 1292040194010 1421244213411 2368740355685 2842488426822 4737480711370 7106221067055 14212442134110