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4223100013440 = 2735721119397541
BaseRepresentation
bin111101011101000100011…
…000000100101110000000
3112221201120002201122122220
4331131010120010232000
51023142402100412230
612552022041331040
7614052232556100
oct75350430045600
915851502648586
104223100013440
111389008952870
1258256b796a80
1324830cb236c9
14108583305200
1574cbc3e7d10
hex3d744604b80

4223100013440 has 1536 divisors, whose sum is σ = 18060088665600. Its totient is φ = 827714764800.

The previous prime is 4223100013439. The next prime is 4223100013441. The reversal of 4223100013440 is 443100013224.

It is an interprime number because it is at equal distance from previous prime (4223100013439) and next prime (4223100013441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4223100013440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223100013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7806099570 + ... + 7806100110.

It is an arithmetic number, because the mean of its divisors is an integer number (11757870225).

Almost surely, 24223100013440 is an apocalyptic number.

4223100013440 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 4223100013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9030044332800).

4223100013440 is an abundant number, since it is smaller than the sum of its proper divisors (13836988652160).

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

4223100013440 is a wasteful number, since it uses less digits than its factorization.

4223100013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4223100013440 its reverse (443100013224), we get a palindrome (4666200026664).

The spelling of 4223100013440 in words is "four trillion, two hundred twenty-three billion, one hundred million, thirteen thousand, four hundred forty".