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31324311414 = 2341118197117
BaseRepresentation
bin11101001011000100…
…110000111101110110
32222212001012220010000
4131023010300331312
51003123010431124
622220140412130
72156150153034
oct351304607566
988761186100
1031324311414
1112314836880
1260a2547046
132c52862a16
141732297554
15c3501c6c9
hex74b130f76

31324311414 has 80 divisors (see below), whose sum is σ = 76994373456. Its totient is φ = 9439675200.

The previous prime is 31324311413. The next prime is 31324311493. The reversal of 31324311414 is 41411342313.

31324311414 is a `hidden beast` number, since 3 + 1 + 3 + 243 + 1 + 1 + 414 = 666.

It is a super-2 number, since 2×313243114142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31324311413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273984 + ... + 371100.

Almost surely, 231324311414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31324311414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497186728).

31324311414 is an abundant number, since it is smaller than the sum of its proper divisors (45670062042).

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

31324311414 is a wasteful number, since it uses less digits than its factorization.

31324311414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97323 (or 97314 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 31324311414 its reverse (41411342313), we get a palindrome (72735653727).

The spelling of 31324311414 in words is "thirty-one billion, three hundred twenty-four million, three hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 181 198 297 362 543 594 891 1086 1629 1782 1991 3258 3982 4887 5973 9774 11946 14661 17919 29322 35838 53757 97117 107514 161271 194234 291351 322542 582702 874053 1068287 1748106 2136574 2622159 3204861 5244318 6409722 7866477 9614583 15732954 17578177 19229166 28843749 35156354 52734531 57687498 86531247 105469062 158203593 173062494 193359947 316407186 386719894 474610779 580079841 949221558 1160159682 1423832337 1740239523 2847664674 3480479046 5220718569 10441437138 15662155707 31324311414