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31314230340 = 22354792911953
BaseRepresentation
bin11101001010011110…
…010011110001000100
32222211100020201110220
4131022132103301010
51003112420332330
622215140344340
72155665365121
oct351236236104
988740221426
1031314230340
111230a080808
12609b0a50b0
132c507432a3
141730bd1748
15c341ca710
hex74a793c44

31314230340 has 96 divisors (see below), whose sum is σ = 89649262080. Its totient is φ = 8163311616.

The previous prime is 31314230329. The next prime is 31314230357. The reversal of 31314230340 is 4303241313.

It is a self number, because there is not a number n which added to its sum of digits gives 31314230340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2613804 + ... + 2625756.

It is an arithmetic number, because the mean of its divisors is an integer number (933846480).

Almost surely, 231314230340 is an apocalyptic number.

31314230340 is a gapful number since it is divisible by the number (30) 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 31314230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44824631040).

31314230340 is an abundant number, since it is smaller than the sum of its proper divisors (58335031740).

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

31314230340 is a wasteful number, since it uses less digits than its factorization.

31314230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12941 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31314230340 its reverse (4303241313), we get a palindrome (35617471653).

The spelling of 31314230340 in words is "thirty-one billion, three hundred fourteen million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 929 940 1410 1858 2787 2820 3716 4645 5574 9290 11148 11953 13935 18580 23906 27870 35859 43663 47812 55740 59765 71718 87326 119530 130989 143436 174652 179295 218315 239060 261978 358590 436630 523956 561791 654945 717180 873260 1123582 1309890 1685373 2247164 2619780 2808955 3370746 5617910 6741492 8426865 11104337 11235820 16853730 22208674 33313011 33707460 44417348 55521685 66626022 111043370 133252044 166565055 222086740 333130110 521903839 666260220 1043807678 1565711517 2087615356 2609519195 3131423034 5219038390 6262846068 7828557585 10438076780 15657115170 31314230340