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4004043140000 = 2554823243259
BaseRepresentation
bin111010010001000011100…
…100011010101110100000
3112011210010122120111100002
4322101003210122232200
51011100240020440000
612303233152315132
7562165631063231
oct72210344325640
915153118514302
104004043140000
111304117a70592
12548015b42aa8
1323076c642c77
14dbb222c3088
156e24ae028d5
hex3a44391aba0

4004043140000 has 120 divisors (see below), whose sum is σ = 9862556346720. Its totient is φ = 1599664608000.

The previous prime is 4004043139991. The next prime is 4004043140003. The reversal of 4004043140000 is 413404004.

It is a super-2 number, since 2×40040431400002 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4004043140003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16338371 + ... + 16581629.

It is an arithmetic number, because the mean of its divisors is an integer number (82187969556).

Almost surely, 24004043140000 is an apocalyptic number.

4004043140000 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 4004043140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931278173360).

4004043140000 is an abundant number, since it is smaller than the sum of its proper divisors (5858513206720).

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

4004043140000 is an equidigital number, since it uses as much as digits as its factorization.

4004043140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244112 (or 244089 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4004043140000 its reverse (413404004), we get a palindrome (4004456544004).

The spelling of 4004043140000 in words is "four trillion, four billion, forty-three million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 823 1000 1250 1646 2000 2500 3292 4000 4115 5000 6584 8230 10000 13168 16460 20000 20575 26336 32920 41150 65840 82300 102875 131680 164600 205750 243259 329200 411500 486518 514375 658400 823000 973036 1028750 1216295 1646000 1946072 2057500 2432590 3292000 3892144 4115000 4865180 6081475 7784288 8230000 9730360 12162950 16460000 19460720 24325900 30407375 38921440 48651800 60814750 97303600 121629500 152036875 194607200 200202157 243259000 304073750 400404314 486518000 608147500 800808628 973036000 1001010785 1216295000 1601617256 2002021570 2432590000 3203234512 4004043140 4865180000 5005053925 6406469024 8008086280 10010107850 16016172560 20020215700 25025269625 32032345120 40040431400 50050539250 80080862800 100101078500 125126348125 160161725600 200202157000 250252696250 400404314000 500505392500 800808628000 1001010785000 2002021570000 4004043140000