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4112344240000 = 2754313164231
BaseRepresentation
bin111011110101111010110…
…100010100111110000000
3112120010200100012102000221
4323311322310110332000
51014334040111140000
612425103532552424
7603051503202403
oct73657264247600
915503610172027
104112344240000
111346043129a07
12564bbb922714
1323aa3bb8a1a9
141030779c9d3a
1571e88cb261a
hex3bd7ad14f80

4112344240000 has 160 divisors (see below), whose sum is σ = 10270193923440. Its totient is φ = 1639672320000.

The previous prime is 4112344239931. The next prime is 4112344240049. The reversal of 4112344240000 is 424432114.

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

It is a super-2 number, since 2×41123442400002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 24957885 + ... + 25122115.

Almost surely, 24112344240000 is an apocalyptic number.

4112344240000 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 4112344240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135096961720).

4112344240000 is an abundant number, since it is smaller than the sum of its proper divisors (6157849683440).

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

4112344240000 is an equidigital number, since it uses as much as digits as its factorization.

4112344240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164578 (or 164551 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4112344240000 its reverse (424432114), we get a palindrome (4112768672114).

The spelling of 4112344240000 in words is "four trillion, one hundred twelve billion, three hundred forty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 313 320 400 500 625 626 640 800 1000 1250 1252 1565 1600 2000 2500 2504 3130 3200 4000 5000 5008 6260 7825 8000 10000 10016 12520 15650 16000 20000 20032 25040 31300 39125 40000 40064 50080 62600 78250 80000 100160 125200 156500 164231 195625 200320 250400 313000 328462 391250 500800 626000 656924 782500 821155 1001600 1252000 1313848 1565000 1642310 2504000 2627696 3130000 3284620 4105775 5008000 5255392 6260000 6569240 8211550 10510784 12520000 13138480 16423100 20528875 21021568 25040000 26276960 32846200 41057750 51404303 52553920 65692400 82115500 102644375 102808606 105107840 131384800 164231000 205288750 205617212 257021515 262769600 328462000 410577500 411234424 514043030 525539200 656924000 821155000 822468848 1028086060 1285107575 1313848000 1642310000 1644937696 2056172120 2570215150 2627696000 3284620000 3289875392 4112344240 5140430300 6425537875 6569240000 6579750784 8224688480 10280860600 12851075750 13138480000 16449376960 20561721200 25702151500 32127689375 32898753920 41123442400 51404303000 64255378750 82246884800 102808606000 128510757500 164493769600 205617212000 257021515000 411234424000 514043030000 822468848000 1028086060000 2056172120000 4112344240000