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4021444310004 = 2233113385054133
BaseRepresentation
bin111010100001010000110…
…000100111001111110100
3112020110001100221112001000
4322201100300213033310
51011341404220410004
612315232004003300
7563353065431262
oct72412060471764
915213040845030
104021444310004
111310537524120
1254b471690530
132322b3797374
14dc8d338d432
156e91891ec39
hex3a850c273f4

4021444310004 has 48 divisors (see below), whose sum is σ = 11373781890240. Its totient is φ = 1218619487520.

The previous prime is 4021444309979. The next prime is 4021444310027. The reversal of 4021444310004 is 4000134441204.

4021444310004 is a `hidden beast` number, since 4 + 0 + 214 + 443 + 1 + 0 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4021444310004.

It is a congruent number.

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, 1692525879 + ... + 1692528254.

It is an arithmetic number, because the mean of its divisors is an integer number (236953789380).

Almost surely, 24021444310004 is an apocalyptic number.

4021444310004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4021444310004 is an abundant number, since it is smaller than the sum of its proper divisors (7352337580236).

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

4021444310004 is a wasteful number, since it uses less digits than its factorization.

4021444310004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385054157 (or 3385054149 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4021444310004 its reverse (4000134441204), we get a palindrome (8021578751208).

The spelling of 4021444310004 in words is "four trillion, twenty-one billion, four hundred forty-four million, three hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3385054133 6770108266 10155162399 13540216532 20310324798 30465487197 37235595463 40620649596 60930974394 74471190926 91396461591 111706786389 121861948788 148942381852 182792923182 223413572778 335120359167 365585846364 446827145556 670240718334 1005361077501 1340481436668 2010722155002 4021444310004