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4021444344034 = 21353101257112429
BaseRepresentation
bin111010100001010000110…
…000101111100011100010
3112020110001101000020201101
4322201100300233203202
51011341404223002114
612315232004425014
7563353065632425
oct72412060574342
915213041006641
104021444344034
111310537547747
1254b4716a816a
132322b37a99c0
14dc8d339b9bc
156e918929d74
hex3a850c2f8e2

4021444344034 has 64 divisors (see below), whose sum is σ = 6710349471840. Its totient is φ = 1795969843200.

The previous prime is 4021444344011. The next prime is 4021444344041. The reversal of 4021444344034 is 4304434441204.

It can be written as a sum of positive squares in 16 ways, for example, as 3046787705025 + 974656639009 = 1745505^2 + 987247^2 .

It is a super-2 number, since 2×40214443440342 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4021444343984 and 4021444344002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35712532 + ... + 35824960.

Almost surely, 24021444344034 is an apocalyptic number.

4021444344034 is a deficient number, since it is larger than the sum of its proper divisors (2688905127806).

4021444344034 is a wasteful number, since it uses less digits than its factorization.

4021444344034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112855.

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 4021444344034 its reverse (4304434441204), we get a palindrome (8325878785238).

The spelling of 4021444344034 in words is "four trillion, twenty-one billion, four hundred forty-four million, three hundred forty-four thousand, thirty-four".

Divisors: 1 2 13 26 53 101 106 202 257 514 689 1313 1378 2626 3341 5353 6682 10706 13621 25957 27242 51914 69589 112429 139178 177073 224858 337441 354146 674882 1375721 1461577 2751442 2923154 5958737 11355329 11917474 17884373 22710658 28894253 35768746 57788506 77463581 147619277 154927162 295238554 375625289 601832437 751250578 1203664874 1531395409 2918319553 3062790818 5836639106 7823821681 15647643362 19908140317 37938154189 39816280634 75876308378 154670936309 309341872618 2010722172017 4021444344034