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316202116342000 = 24537225110033703
BaseRepresentation
bin100011111100101011000101…
…0110100100110000011110000
31112110120121221011021101112011
41013321112022310212003300
5312421123413240421000
63040301125155012304
7123413564133202060
oct10771261264460360
91473517834241464
10316202116342000
119182a623337169
122b56a108b9a094
13107589684cc565
14581239a9373a0
1526852218a32ba
hex11f958ad260f0

316202116342000 has 160 divisors (see below), whose sum is σ = 874190233672704. Its totient is φ = 108363981600000.

The previous prime is 316202116341989. The next prime is 316202116342003. The reversal of 316202116342000 is 243611202613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316202116342003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26497149 + ... + 36530851.

Almost surely, 2316202116342000 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 316202116342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437095116836352).

316202116342000 is an abundant number, since it is smaller than the sum of its proper divisors (557988117330704).

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

316202116342000 is a wasteful number, since it uses less digits than its factorization.

316202116342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035984 (or 10035968 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 316202116342000 its reverse (243611202613), we get a palindrome (316445727544613).

The spelling of 316202116342000 in words is "three hundred sixteen trillion, two hundred two billion, one hundred sixteen million, three hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2251 2800 3500 4502 7000 9004 11255 14000 15757 18008 22510 31514 36016 45020 56275 63028 78785 90040 112550 126056 157570 180080 225100 252112 281375 315140 393925 450200 562750 630280 787850 900400 1125500 1260560 1575700 1969625 2251000 3151400 3939250 4502000 6302800 7878500 10033703 15757000 20067406 31514000 40134812 50168515 70235921 80269624 100337030 140471842 160539248 200674060 250842575 280943684 351179605 401348120 501685150 561887368 702359210 802696240 1003370300 1123774736 1254212875 1404718420 1755898025 2006740600 2508425750 2809436840 3511796050 4013481200 5016851500 5618873680 7023592100 8779490125 10033703000 14047184200 17558980250 20067406000 22585865453 28094368400 35117960500 45171730906 70235921000 90343461812 112929327265 140471842000 158101058171 180686923624 225858654530 316202116342 361373847248 451717309060 564646636325 632404232684 790505290855 903434618120 1129293272650 1264808465368 1581010581710 1806869236240 2258586545300 2529616930736 2823233181625 3162021163420 3952526454275 4517173090600 5646466363250 6324042326840 7905052908550 9034346181200 11292932726500 12648084653680 15810105817100 19762632271375 22585865453000 31620211634200 39525264542750 45171730906000 63240423268400 79050529085500 158101058171000 316202116342000