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4223026045440 = 293251066717183
BaseRepresentation
bin111101011100111111111…
…101111010001000000000
3112221201100221112200122100
4331130333331322020000
51023142224131423230
612552010440110400
7614050344054666
oct75347775721000
915851327480570
104223026045440
111388a80121594
1258254aa65400
132482ca6c5a67
1410857756cc36
1574cb5b86660
hex3d73ff7a200

4223026045440 has 240 divisors, whose sum is σ = 14627749264128. Its totient is φ = 1125969174528.

The previous prime is 4223026045439. The next prime is 4223026045487. The reversal of 4223026045440 is 445406203224.

4223026045440 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 0 + 2 + 604 + 5 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4223026045395 and 4223026045404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245759089 + ... + 245776271.

Almost surely, 24223026045440 is an apocalyptic number.

4223026045440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223026045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313874632064).

4223026045440 is an abundant number, since it is smaller than the sum of its proper divisors (10404723218688).

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

4223026045440 is a wasteful number, since it uses less digits than its factorization.

4223026045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27879 (or 27860 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 4223026045440 in words is "four trillion, two hundred twenty-three billion, twenty-six million, forty-five thousand, four hundred forty".