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4043130320000 = 2754308916361
BaseRepresentation
bin111010110101011101010…
…110001011010010000000
3112022112000200222222012102
4322311131112023102000
51012220312330220000
612333215522245532
7565051352452232
oct72653526132200
915275020888172
104043130320000
111319755730432
125537041b68a8
1323435b560845
14dd98d558252
15702876c93d5
hex3ad5d58b480

4043130320000 has 160 divisors (see below), whose sum is σ = 10068993999900. Its totient is φ = 1616629760000.

The previous prime is 4043130319961. The next prime is 4043130320023. The reversal of 4043130320000 is 230313404.

It can be written as a sum of positive squares in 10 ways, for example, as 37144081984 + 4005986238016 = 192728^2 + 2001496^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 247111820 + ... + 247128180.

Almost surely, 24043130320000 is an apocalyptic number.

4043130320000 is a gapful number since it is divisible by the number (40) 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 4043130320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034496999950).

4043130320000 is an abundant number, since it is smaller than the sum of its proper divisors (6025863679900).

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

4043130320000 is an equidigital number, since it uses as much as digits as its factorization.

4043130320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19484 (or 19457 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 4043130320000 its reverse (230313404), we get a palindrome (4043360633404).

The spelling of 4043130320000 in words is "four trillion, forty-three billion, one hundred thirty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3089 3200 4000 5000 6178 8000 10000 12356 15445 16000 16361 20000 24712 30890 32722 40000 49424 61780 65444 77225 80000 81805 98848 123560 130888 154450 163610 197696 247120 261776 308900 327220 386125 395392 409025 494240 523552 617800 654440 772250 818050 988480 1047104 1235600 1308880 1544500 1636100 1930625 1976960 2045125 2094208 2471200 2617760 3089000 3272200 3861250 4090250 4942400 5235520 6178000 6544400 7722500 8180500 9884800 10225625 10471040 12356000 13088800 15445000 16361000 20451250 24712000 26177600 30890000 32722000 40902500 49424000 50539129 52355200 61780000 65444000 81805000 101078258 123560000 130888000 163610000 202156516 247120000 252695645 261776000 327220000 404313032 505391290 654440000 808626064 1010782580 1263478225 1308880000 1617252128 2021565160 2526956450 3234504256 4043130320 5053912900 6317391125 6469008512 8086260640 10107825800 12634782250 16172521280 20215651600 25269564500 31586955625 32345042560 40431303200 50539129000 63173911250 80862606400 101078258000 126347822500 161725212800 202156516000 252695645000 404313032000 505391290000 808626064000 1010782580000 2021565160000 4043130320000