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31341144114 = 2327321412371
BaseRepresentation
bin11101001100000100…
…111110100000110010
32222220012220002020100
4131030010332200302
51003141313102424
622221541253230
72156443221000
oct351404764062
988805802210
1031341144114
11123232934a5
1260a8104216
132c561a75b7
1417345d9a70
15c36744dc9
hex74c13e832

31341144114 has 96 divisors (see below), whose sum is σ = 79260854400. Its totient is φ = 8946655200.

The previous prime is 31341144071. The next prime is 31341144137. The reversal of 31341144114 is 41144114313.

31341144114 is a `hidden beast` number, since 3 + 134 + 114 + 411 + 4 = 666.

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, 13217349 + ... + 13219719.

It is an arithmetic number, because the mean of its divisors is an integer number (825633900).

Almost surely, 231341144114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31341144114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39630427200).

31341144114 is an abundant number, since it is smaller than the sum of its proper divisors (47919710286).

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

31341144114 is a wasteful number, since it uses less digits than its factorization.

31341144114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4524 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 31341144114 its reverse (41144114313), we get a palindrome (72485258427).

The spelling of 31341144114 in words is "thirty-one billion, three hundred forty-one million, one hundred forty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 2141 2371 3087 4282 4742 6174 6423 7113 12846 14226 14987 16597 19269 21339 29974 33194 38538 42678 44961 49791 89922 99582 104909 116179 134883 149373 209818 232358 269766 298746 314727 348537 629454 697074 734363 813253 944181 1045611 1468726 1626506 1888362 2091222 2203089 2439759 4406178 4879518 5076311 6609267 7319277 10152622 13218534 14638554 15228933 30457866 35534177 45686799 71068354 91373598 106602531 213205062 248739239 319807593 497478478 639615186 746217717 1492435434 1741174673 2238653151 3482349346 4477306302 5223524019 10447048038 15670572057 31341144114