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4224344420032 = 261183242329837
BaseRepresentation
bin111101011110001110100…
…011000110111011000000
3112221211202211022001120221
4331132032203012323000
51023202424132420112
612552345333312424
7614125123054462
oct75361643067300
915854684261527
104224344420032
111389597329970
12582858495714
1324847a895379
141086606b4132
1574d417a5e07
hex3d78e8c6ec0

4224344420032 has 112 divisors (see below), whose sum is σ = 9259053172992. Its totient is φ = 1896175662080.

The previous prime is 4224344420027. The next prime is 4224344420069. The reversal of 4224344420032 is 2300244434224.

It is a self number, because there is not a number n which added to its sum of digits gives 4224344420032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141565818 + ... + 141595654.

It is an arithmetic number, because the mean of its divisors is an integer number (82670117616).

Almost surely, 24224344420032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224344420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629526586496).

4224344420032 is an abundant number, since it is smaller than the sum of its proper divisors (5034708752960).

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

4224344420032 is a wasteful number, since it uses less digits than its factorization.

4224344420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32366 (or 32356 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 4224344420032 its reverse (2300244434224), we get a palindrome (6524588854256).

The spelling of 4224344420032 in words is "four trillion, two hundred twenty-four billion, three hundred forty-four million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 166 176 332 352 664 704 913 1328 1826 2423 2656 3652 4846 5312 7304 9692 14608 19384 26653 29216 29837 38768 53306 58432 59674 77536 106612 119348 155072 201109 213224 238696 328207 402218 426448 477392 656414 804436 852896 954784 1312828 1608872 1705792 1909568 2212199 2476471 2625656 3217744 4424398 4952942 5251312 6435488 8848796 9905884 10502624 12870976 17697592 19811768 21005248 27241181 35395184 39623536 54482362 70790368 72295051 79247072 108964724 141580736 144590102 158494144 217929448 289180204 435858896 578360408 795245561 871717792 1156720816 1590491122 1743435584 2313441632 3180982244 4626883264 6000489233 6361964488 12000978466 12723928976 24001956932 25447857952 48003913864 50895715904 66005381563 96007827728 132010763126 192015655456 264021526252 384031310912 528043052504 1056086105008 2112172210016 4224344420032