Search a number
-
+
4224203344000 = 2753318516539
BaseRepresentation
bin111101011110000110001…
…000111100100010000000
3112221211101222211122122201
4331132012020330202000
51023202132024002000
612552323333442544
7614121460663213
oct75360610744200
915854358748581
104224203344000
111389524732402
125828191a0454
1324845759c323
14108649a6d77a
1574d341da96a
hex3d78623c880

4224203344000 has 128 divisors (see below), whose sum is σ = 10841214758400. Its totient is φ = 1635175296000.

The previous prime is 4224203343979. The next prime is 4224203344001. The reversal of 4224203344000 is 4433024224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4224203344000.

It is not an unprimeable number, because it can be changed into a prime (4224203344001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762270 + ... + 4754269.

It is an arithmetic number, because the mean of its divisors is an integer number (84696990300).

Almost surely, 24224203344000 is an apocalyptic number.

4224203344000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224203344000 is an abundant number, since it is smaller than the sum of its proper divisors (6617011414400).

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

4224203344000 is an equidigital number, since it uses as much as digits as its factorization.

4224203344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516599 (or 8516577 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4224203344000 its reverse (4433024224), we get a palindrome (4228636368224).

The spelling of 4224203344000 in words is "four trillion, two hundred twenty-four billion, two hundred three million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 310 320 400 496 500 620 640 775 800 992 1000 1240 1550 1600 1984 2000 2480 3100 3200 3875 3968 4000 4960 6200 7750 8000 9920 12400 15500 16000 19840 24800 31000 49600 62000 99200 124000 248000 496000 8516539 17033078 34066156 42582695 68132312 85165390 136264624 170330780 212913475 264012709 272529248 340661560 425826950 528025418 545058496 681323120 851653900 1056050836 1064567375 1090116992 1320063545 1362646240 1703307800 2112101672 2129134750 2640127090 2725292480 3406615600 4224203344 4258269500 5280254180 5450584960 6600317725 6813231200 8448406688 8516539000 10560508360 13200635450 13626462400 16896813376 17033078000 21121016720 26401270900 27252924800 33001588625 33793626752 34066156000 42242033440 52802541800 66003177250 68132312000 84484066880 105605083600 132006354500 136264624000 168968133760 211210167200 264012709000 422420334400 528025418000 844840668800 1056050836000 2112101672000 4224203344000