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4021444444311 = 327276742435437
BaseRepresentation
bin111010100001010000110…
…001001000000010010111
3112020110001101012100021100
4322201100301020002113
51011341404234204221
612315232010521143
7563353066530660
oct72412061100227
915213041170240
104021444444311
111310537606018
1254b4717361b3
132322b3813538
14dc8d33c6367
156e918949926
hex3a850c48097

4021444444311 has 48 divisors (see below), whose sum is σ = 6643761040384. Its totient is φ = 2296173966912.

The previous prime is 4021444444249. The next prime is 4021444444343. The reversal of 4021444444311 is 1134444441204.

4021444444311 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 4 + 4 + 4 + 431 + 1 = 666.

It is not a de Polignac number, because 4021444444311 - 26 = 4021444444247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021444444111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739641285 + ... + 739646721.

Almost surely, 24021444444311 is an apocalyptic number.

4021444444311 is a deficient number, since it is larger than the sum of its proper divisors (2622316596073).

4021444444311 is a wasteful number, since it uses less digits than its factorization.

4021444444311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12460 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 4021444444311 its reverse (1134444441204), we get a palindrome (5155888885515).

The spelling of 4021444444311 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 2767 4243 5437 8301 12729 16311 19369 24903 29701 38059 38187 48933 58107 89103 114177 174321 267309 342531 11740381 15044179 23069191 35221143 45132537 69207573 82182667 105309253 105663429 135397611 161484337 207622719 246548001 315927759 484453011 739644003 947783277 1453359033 63832451497 191497354491 446827160479 574492063473 1340481481437 4021444444311