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316041400016000 = 275319752587501
BaseRepresentation
bin100011111011100000001111…
…1011000011101110010000000
31112110000021002120011002222122
41013313000133120131302000
5312411010241401003000
63040055225334223412
7123366144341026631
oct10767003730356200
91473007076132878
10316041400016000
119177845014374a
122b542b354b4b68
1310746764a284c9
1458086b1c39888
152680e670bb085
hex11f701f61dc80

316041400016000 has 64 divisors (see below), whose sum is σ = 785757930829560. Its totient is φ = 126416560000000.

The previous prime is 316041400015961. The next prime is 316041400016033. The reversal of 316041400016000 is 610004140613.

It can be written as a sum of positive squares in 4 ways, for example, as 175369844881984 + 140671555134016 = 13242728^2 + 11860504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9876277751 + ... + 9876309750.

Almost surely, 2316041400016000 is an apocalyptic number.

It is an amenable number.

316041400016000 is an abundant number, since it is smaller than the sum of its proper divisors (469716530813560).

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

316041400016000 is an equidigital number, since it uses as much as digits as its factorization.

316041400016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19752587530 (or 19752587508 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 316041400016000 its reverse (610004140613), we get a palindrome (316651404156613).

The spelling of 316041400016000 in words is "three hundred sixteen trillion, forty-one billion, four hundred million, sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 19752587501 39505175002 79010350004 98762937505 158020700008 197525875010 316041400016 395051750020 493814687525 632082800032 790103500040 987629375050 1264165600064 1580207000080 1975258750100 2469073437625 2528331200128 3160414000160 3950517500200 4938146875250 6320828000320 7901035000400 9876293750500 12641656000640 15802070000800 19752587501000 31604140001600 39505175002000 63208280003200 79010350004000 158020700008000 316041400016000