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14311531088 = 2429293105269
BaseRepresentation
bin11010101010000100…
…01010001001010000
31100221101200002212222
431111002022021100
5213302222443323
610324041440212
71014440002301
oct152502121120
940841602788
1014311531088
116084539148
122934aa0068
1314710163ba
1499aa0c7a8
1558b66d9c8
hex35508a250

14311531088 has 40 divisors (see below), whose sum is σ = 28782923400. Its totient is φ = 6885369344.

The previous prime is 14311531081. The next prime is 14311531121. The reversal of 14311531088 is 88013511341.

It can be written as a sum of positive squares in 4 ways, for example, as 2680339984 + 11631191104 = 51772^2 + 107848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311531081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83318 + ... + 188586.

It is an arithmetic number, because the mean of its divisors is an integer number (719573085).

Almost surely, 214311531088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14311531088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391461700).

14311531088 is an abundant number, since it is smaller than the sum of its proper divisors (14471392312).

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

14311531088 is a wasteful number, since it uses less digits than its factorization.

14311531088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105599 (or 105593 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 14311531088 in words is "fourteen billion, three hundred eleven million, five hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 293 464 586 1172 2344 4688 8497 16994 33988 67976 105269 135952 210538 421076 842152 1684304 3052801 6105602 12211204 24422408 30843817 48844816 61687634 123375268 246750536 493501072 894470693 1788941386 3577882772 7155765544 14311531088