Search a number
-
+
4021444344033 = 3217947177715619
BaseRepresentation
bin111010100001010000110…
…000101111100011100001
3112020110001101000020201100
4322201100300233203201
51011341404223002113
612315232004425013
7563353065632424
oct72412060574341
915213041006640
104021444344033
111310537547746
1254b4716a8169
132322b37a99bc
14dc8d339b9bb
156e918929d73
hex3a850c2f8e1

4021444344033 has 48 divisors (see below), whose sum is σ = 6160798163520. Its totient is φ = 2519014975488.

The previous prime is 4021444344011. The next prime is 4021444344041. The reversal of 4021444344033 is 3304434441204.

4021444344033 is a `hidden beast` number, since 4 + 0 + 2 + 144 + 43 + 440 + 33 = 666.

It is not a de Polignac number, because 4021444344033 - 212 = 4021444339937 is a prime.

It is a super-2 number, since 2×40214443440332 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4021444340033) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 257463498 + ... + 257479116.

It is an arithmetic number, because the mean of its divisors is an integer number (128349961740).

Almost surely, 24021444344033 is an apocalyptic number.

It is an amenable number.

4021444344033 is a deficient number, since it is larger than the sum of its proper divisors (2139353819487).

4021444344033 is a wasteful number, since it uses less digits than its factorization.

4021444344033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18366 (or 18363 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4021444344033 its reverse (3304434441204), we get a palindrome (7325878785237).

The spelling of 4021444344033 in words is "four trillion, twenty-one billion, four hundred forty-four million, three hundred forty-four thousand, thirty-three".

Divisors: 1 3 9 17 51 153 947 1777 2841 5331 8523 15619 15993 16099 30209 46857 48297 90627 140571 144891 265523 271881 796569 1682819 2389707 5048457 14791193 15145371 27754963 28607923 44373579 83264889 85823769 133120737 249794667 251450281 257471307 471834371 754350843 1415503113 2263052529 4246509339 26283949961 78851849883 236555549649 446827149337 1340481448011 4021444344033