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42313233231324 = 223211977731425049
BaseRepresentation
bin10011001111011110100010…
…01111000110110111011100
312112211002211222100200201100
421213233101033012313130
521021230000201400244
6225554233032313100
711625013236063456
oct1147572117066734
9175732758320640
1042313233231324
1112533a3a067770
1248b4708242790
131a7c175450413
14a63d857c92d6
154d59e702ab69
hex267bd13c6ddc

42313233231324 has 144 divisors (see below), whose sum is σ = 118037438719200. Its totient is φ = 12673578885120.

The previous prime is 42313233231301. The next prime is 42313233231361.

42313233231324 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 3 + 2 + 3 + 323 + 1 + 324 = 666.

42313233231324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28979952 + ... + 30405000.

It is an arithmetic number, because the mean of its divisors is an integer number (819704435550).

Almost surely, 242313233231324 is an apocalyptic number.

42313233231324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42313233231324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59018719359600).

42313233231324 is an abundant number, since it is smaller than the sum of its proper divisors (75724205487876).

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

42313233231324 is a wasteful number, since it uses less digits than its factorization.

42313233231324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425940 (or 1425935 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 4231323 and 3231324, that added together give a palindrome (7462647).

The spelling of 42313233231324 in words is "forty-two trillion, three hundred thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 773 873 1067 1164 1546 1746 2134 2319 3092 3201 3492 4268 4638 6402 6957 8503 9276 9603 12804 13914 17006 19206 25509 27828 34012 38412 51018 74981 76527 102036 149962 153054 224943 299924 306108 449886 674829 824791 899772 1349658 1425049 1649582 2474373 2699316 2850098 3299164 4275147 4948746 5700196 7423119 8550294 9897492 12825441 14846238 15675539 17100588 25650882 29692476 31351078 47026617 51301764 62702156 94053234 138229753 141079851 188106468 276459506 282159702 414689259 552919012 564319404 829378518 1101562877 1244067777 1520527283 1658757036 2203125754 2488135554 3041054566 3304688631 4406251508 4561581849 4976271108 6082109132 6609377262 9123163698 9914065893 12117191647 13218754524 13684745547 18246327396 19828131786 24234383294 27369491094 36351574941 39656263572 48468766588 54738982188 72703149882 106851599069 109054724823 145406299764 213703198138 218109449646 320554797207 427406396276 436218899292 641109594414 961664391621 1175367589759 1282219188828 1923328783242 2350735179518 3526102769277 3846657566484 4701470359036 7052205538554 10578308307831 14104411077108 21156616615662 42313233231324