Search a number
-
+
4021444243311 = 311313922332491
BaseRepresentation
bin111010100001010000110…
…000010110111101101111
3112020110001100211010112220
4322201100300112331233
51011341404211241221
612315232002330423
7563353065032655
oct72412060267557
915213040733486
104021444243311
111310537489000
1254b471659a13
132322b3772bc1
14dc8d3372dd5
156e91890a0c6
hex3a850c16f6f

4021444243311 has 64 divisors (see below), whose sum is σ = 5966966046720. Its totient is φ = 2408780008800.

The previous prime is 4021444243307. The next prime is 4021444243367. The reversal of 4021444243311 is 1133424441204.

It is a happy number.

It is not a de Polignac number, because 4021444243311 - 22 = 4021444243307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021444243301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123754776 + ... + 123787266.

It is an arithmetic number, because the mean of its divisors is an integer number (93233844480).

Almost surely, 24021444243311 is an apocalyptic number.

4021444243311 is a deficient number, since it is larger than the sum of its proper divisors (1945521803409).

4021444243311 is a wasteful number, since it uses less digits than its factorization.

4021444243311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32889 (or 32867 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4021444243311 its reverse (1133424441204), we get a palindrome (5154868684515).

The spelling of 4021444243311 in words is "four trillion, twenty-one billion, four hundred forty-four million, two hundred forty-three thousand, three hundred eleven".

Divisors: 1 3 11 33 121 139 223 363 417 669 1331 1529 2453 3993 4587 7359 16819 26983 30997 32491 50457 80949 92991 97473 185009 296813 340967 357401 555027 890439 1022901 1072203 3750637 3931411 4516249 7245493 11251911 11794233 13548747 21736479 41257007 43245521 49678739 79700423 123771021 129736563 149036217 239101269 546466129 876704653 1007123527 1639398387 2630113959 3021370581 6011127419 9643751183 11078358797 18033382257 28931253549 33235076391 121861946767 365585840301 1340481414437 4021444243311