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4005044150000 = 2455199402517
BaseRepresentation
bin111010010001111111001…
…110111101111011110000
3112011212201102011001220112
4322101333032331323300
51011104312300300000
612303520351400452
7562232504401565
oct72217716757360
915155642131815
104005044150000
111304591014183
12548255223128
1323089bb44a8a
14dbbb921486c
156e2a8c33235
hex3a47f3bdef0

4005044150000 has 120 divisors (see below), whose sum is σ = 9747858909600. Its totient is φ = 1593963360000.

The previous prime is 4005044149999. The next prime is 4005044150021. The reversal of 4005044150000 is 514405004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9748742 + ... + 10151258.

It is an arithmetic number, because the mean of its divisors is an integer number (81232157580).

Almost surely, 24005044150000 is an apocalyptic number.

4005044150000 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 4005044150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873929454800).

4005044150000 is an abundant number, since it is smaller than the sum of its proper divisors (5742814759600).

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

4005044150000 is an equidigital number, since it uses as much as digits as its factorization.

4005044150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402749 (or 402723 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 4005044150000 its reverse (514405004), we get a palindrome (4005558555004).

The spelling of 4005044150000 in words is "four trillion, five billion, forty-four million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 625 796 995 1000 1250 1592 1990 2000 2500 3125 3184 3980 4975 5000 6250 7960 9950 10000 12500 15920 19900 24875 25000 39800 49750 50000 79600 99500 124375 199000 248750 398000 402517 497500 621875 805034 995000 1243750 1610068 1990000 2012585 2487500 3220136 4025170 4975000 6440272 8050340 9950000 10062925 16100680 20125850 32201360 40251700 50314625 80100883 80503400 100629250 160201766 161006800 201258500 251573125 320403532 400504415 402517000 503146250 640807064 801008830 805034000 1006292500 1257865625 1281614128 1602017660 2002522075 2012585000 2515731250 3204035320 4005044150 4025170000 5031462500 6408070640 8010088300 10012610375 10062925000 16020176600 20025220750 20125850000 32040353200 40050441500 50063051875 80100883000 100126103750 160201766000 200252207500 250315259375 400504415000 500630518750 801008830000 1001261037500 2002522075000 4005044150000