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14230241133042 = 231117263142333889
BaseRepresentation
bin1100111100010011110001…
…1101111100000111110010
31212101101201222020100222110
43033010330131330013302
53331122013212224132
650133141005350150
72666046432605154
oct317047435740762
955341658210873
1014230241133042
114597014157720
121719abab68356
137c2ba159498c
14372a66a06ad4
1519a26422d1cc
hexcf13c77c1f2

14230241133042 has 128 divisors (see below), whose sum is σ = 33023300935680. Its totient is φ = 4040143626240.

The previous prime is 14230241132999. The next prime is 14230241133047. The reversal of 14230241133042 is 24033114203241.

It is not an unprimeable number, because it can be changed into a prime (14230241133047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419890434 + ... + 419924322.

It is an arithmetic number, because the mean of its divisors is an integer number (257994538560).

Almost surely, 214230241133042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14230241133042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511650467840).

14230241133042 is an abundant number, since it is smaller than the sum of its proper divisors (18793059802638).

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

14230241133042 is a wasteful number, since it uses less digits than its factorization.

14230241133042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35608.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14230241133042 its reverse (24033114203241), we get a palindrome (38263355336283).

The spelling of 14230241133042 in words is "fourteen trillion, two hundred thirty billion, two hundred forty-one million, one hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 263 374 526 561 789 1122 1423 1578 2846 2893 4269 4471 5786 8538 8679 8942 13413 15653 17358 24191 26826 31306 33889 46959 48382 49181 67778 72573 93918 98362 101667 145146 147543 203334 266101 295086 372779 374249 532202 576113 745558 748498 798303 1118337 1122747 1152226 1596606 1728339 2236674 2245494 3456678 4116739 6337243 6362233 8233478 8912807 12350217 12674486 12724466 17825614 19011729 19086699 24700434 26738421 38023458 38173398 48224047 53476842 69984563 96448094 98040877 139969126 144672141 151517719 196081754 209953689 289344282 294122631 303035438 419907378 454553157 530464517 588245262 819808799 909106314 1060929034 1591393551 1639617598 1666694909 2459426397 3182787102 3333389818 4918852794 5000084727 9017896789 10000169454 12682924361 18035793578 25365848722 27053690367 38048773083 54107380734 76097546166 139512167971 215609714137 279024335942 418536503913 431219428274 646829142411 837073007826 1293658284822 2371706855507 4743413711014 7115120566521 14230241133042