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4444310013400 = 235253117418351
BaseRepresentation
bin100000010101100010110…
…0001010000010111011000
3120201212112121100222022101
41000223011201100113120
51040303421330412100
613241404323333144
7636043100544505
oct100530541202730
916655477328271
104444310013400
111463904159954
125b94065211b4
132631344034ca
1411516a2824ac
157a91794b86a
hex40ac58505d8

4444310013400 has 48 divisors (see below), whose sum is σ = 10333240014240. Its totient is φ = 1777686288000.

The previous prime is 4444310013359. The next prime is 4444310013469. The reversal of 4444310013400 is 43100134444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10414225 + ... + 10832575.

It is an arithmetic number, because the mean of its divisors is an integer number (215275833630).

Almost surely, 24444310013400 is an apocalyptic number.

4444310013400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444310013400 is an abundant number, since it is smaller than the sum of its proper divisors (5888930000840).

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

4444310013400 is a wasteful number, since it uses less digits than its factorization.

4444310013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471484 (or 471475 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4444310013400 its reverse (43100134444), we get a palindrome (4487410147844).

The spelling of 4444310013400 in words is "four trillion, four hundred forty-four billion, three hundred ten million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 53117 106234 212468 265585 418351 424936 531170 836702 1062340 1327925 1673404 2091755 2124680 2655850 3346808 4183510 5311700 8367020 10458775 10623400 16734040 20917550 41835100 83670200 22221550067 44443100134 88886200268 111107750335 177772400536 222215500670 444431001340 555538751675 888862002680 1111077503350 2222155006700 4444310013400