Search a number
-
+
20127125442414 = 2319718329959907
BaseRepresentation
bin1001001001110001101100…
…01010011000111101101110
32122021010121222102002120210
410210320312022120331232
510114230323103124124
6110450135045323250
74145064634322604
oct444706612307556
978233558362523
1020127125442414
11645a958665541
122310931706526
13b2cc97785203
144d822da55874
1524d845683a29
hex124e36298f6e

20127125442414 has 64 divisors (see below), whose sum is σ = 43487405660160. Its totient is φ = 6190914975840.

The previous prime is 20127125442371. The next prime is 20127125442419. The reversal of 20127125442414 is 41424452172102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20127125442419) 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 31 ways as a sum of consecutive naturals, for example, 14308152 + ... + 15651755.

It is an arithmetic number, because the mean of its divisors is an integer number (679490713440).

Almost surely, 220127125442414 is an apocalyptic number.

20127125442414 is an abundant number, since it is smaller than the sum of its proper divisors (23360280217746).

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

20127125442414 is a wasteful number, since it uses less digits than its factorization.

20127125442414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29960085.

The product of its (nonzero) digits is 143360, while the sum is 39.

The spelling of 20127125442414 in words is "twenty trillion, one hundred twenty-seven billion, one hundred twenty-five million, four hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 19 38 57 71 83 114 142 166 213 249 426 498 1349 1577 2698 3154 4047 4731 5893 8094 9462 11786 17679 35358 111967 223934 335901 671802 29959907 59919814 89879721 179759442 569238233 1138476466 1707714699 2127153397 2486672281 3415429398 4254306794 4973344562 6381460191 7460016843 12762920382 14920033686 40415914543 47246773339 80831829086 94493546678 121247743629 141740320017 176553731951 242495487258 283480640034 353107463902 529661195853 1059322391706 3354520907069 6709041814138 10063562721207 20127125442414