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14236130643126 = 2373173887168863
BaseRepresentation
bin1100111100101001101110…
…0000101000110010110110
31212101221221102101110222120
43033022123200220302312
53331221043421040001
650135553234140410
72666345405611410
oct317123340506266
955357842343876
1014236130643126
114599566681827
12171b083421706
137c35cc7b63a2
14373064c939b0
1519a4ab2dd236
hexcf29b828cb6

14236130643126 has 128 divisors (see below), whose sum is σ = 34088113668096. Its totient is φ = 3877936093440.

The previous prime is 14236130643113. The next prime is 14236130643151. The reversal of 14236130643126 is 62134603163241.

14236130643126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84221371 + ... + 84390233.

It is an arithmetic number, because the mean of its divisors is an integer number (266313388032).

Almost surely, 214236130643126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14236130643126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044056834048).

14236130643126 is an abundant number, since it is smaller than the sum of its proper divisors (19851983024970).

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

14236130643126 is a wasteful number, since it uses less digits than its factorization.

14236130643126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169866.

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 14236130643126 in words is "fourteen trillion, two hundred thirty-six billion, one hundred thirty million, six hundred forty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 73 93 146 186 217 219 434 438 511 651 887 1022 1302 1533 1774 2263 2661 3066 4526 5322 6209 6789 12418 13578 15841 18627 27497 31682 37254 47523 54994 64751 82491 95046 129502 164982 168863 192479 194253 337726 384958 388506 453257 506589 577437 906514 1013178 1154874 1182041 1359771 2007281 2364082 2719542 3546123 4014562 5234753 6021843 7092246 10469506 12043686 12326999 14050967 15704259 24653998 28101934 31408518 36643271 36980997 42152901 73286542 73961994 84305802 86288993 109929813 149781481 172577986 219859626 258866979 299562962 382136969 449344443 517733958 764273938 898688886 1048470367 1146410907 2096940734 2292821814 2674958783 3145411101 4643225911 5349917566 6290822202 8024876349 9286451822 10934048113 13929677733 16049752698 21868096226 27859355466 32502581377 32802144339 65005162754 65604288678 76538336791 97507744131 153076673582 195015488262 229615010373 338955491503 459230020746 677910983006 1016866474509 2033732949018 2372688440521 4745376881042 7118065321563 14236130643126