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4404234215440 = 245291898376817
BaseRepresentation
bin100000000010111000011…
…0100001110000000010000
3120121001002122200111120001
41000011300310032000100
51034124332424343230
613211135520055344
7633124013101423
oct100056064160020
916531078614501
104404234215440
11144890943a774
125b16a1164554
1325c4187323a7
141132479c39ba
157986e4910ca
hex40170d0e010

4404234215440 has 40 divisors (see below), whose sum is σ = 10592942644440. Its totient is φ = 1700945627136.

The previous prime is 4404234215377. The next prime is 4404234215441. The reversal of 4404234215440 is 445124324044.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 760579340544 + 3643654874896 = 872112^2 + 1908836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4404234215440.

It is not an unprimeable number, because it can be changed into a prime (4404234215441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949186089 + ... + 949190728.

It is an arithmetic number, because the mean of its divisors is an integer number (264823566111).

Almost surely, 24404234215440 is an apocalyptic number.

4404234215440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404234215440 is an abundant number, since it is smaller than the sum of its proper divisors (6188708429000).

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

4404234215440 is a wasteful number, since it uses less digits than its factorization.

4404234215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898376859 (or 1898376853 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 4404234215440 its reverse (445124324044), we get a palindrome (4849358539484).

The spelling of 4404234215440 in words is "four trillion, four hundred four billion, two hundred thirty-four million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 1898376817 3796753634 7593507268 9491884085 15187014536 18983768170 30374029072 37967536340 55052927693 75935072680 110105855386 151870145360 220211710772 275264638465 440423421544 550529276930 880846843088 1101058553860 2202117107720 4404234215440