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2144235441231 = 3313173131137273
BaseRepresentation
bin11111001100111110011…
…001000100110001001111
321120222122110021102211000
4133030332121010301033
5240112343233104411
64321014223031343
7310626103345362
oct37147631046117
97528573242730
102144235441231
11757402008684
122a769813b553
1312727b7608c0
1475ad27dc0d9
153ab9a97e956
hex1f33e644c4f

2144235441231 has 128 divisors (see below), whose sum is σ = 3751207649280. Its totient is φ = 1197951897600.

The previous prime is 2144235441203. The next prime is 2144235441239. The reversal of 2144235441231 is 1321445324412.

2144235441231 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 235 + 4 + 412 + 3 + 1 = 666.

It is not a de Polignac number, because 2144235441231 - 29 = 2144235440719 is a prime.

It is a super-2 number, since 2×21442354412312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144235441239) 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 127 ways as a sum of consecutive naturals, for example, 57509211 + ... + 57546483.

It is an arithmetic number, because the mean of its divisors is an integer number (29306309760).

Almost surely, 22144235441231 is an apocalyptic number.

2144235441231 is a deficient number, since it is larger than the sum of its proper divisors (1606972208049).

2144235441231 is a wasteful number, since it uses less digits than its factorization.

2144235441231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37654 (or 37648 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 2144235441231 in words is "two trillion, one hundred forty-four billion, two hundred thirty-five million, four hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 13 17 27 31 39 51 93 117 153 221 279 311 351 403 459 527 663 837 933 1209 1581 1989 2799 3627 4043 4743 5287 5967 6851 8397 9641 10881 12129 14229 15861 20553 28923 36387 37273 47583 61659 68731 86769 109161 111819 125333 142749 163897 184977 206193 260307 335457 375999 484549 491691 618579 633641 1006371 1127997 1155463 1453647 1475073 1855737 1900923 2130661 3383991 3466389 4360941 4425219 5702769 6391983 8237333 10399167 11591903 13082823 15021019 17108307 19175949 19642871 24711999 31197501 34775709 45063057 57527847 58928613 74135997 104327127 135189171 150694739 176785839 197062351 222407991 255357323 312981381 359348993 405567513 452084217 530357517 591187053 766071969 1078046979 1356252651 1773561159 2298215907 2561810563 3234140937 4068757953 4671536909 5320683477 6108932881 6894647721 7685431689 9702422811 14014610727 18326798643 23056295067 42043832181 54980395929 69168885201 79416127453 126131496543 164941187787 238248382359 714745147077 2144235441231