Search a number
-
+
4321113104000 = 27537113507397
BaseRepresentation
bin111110111000010110011…
…010010101111010000000
3120022002112210122112120002
4332320112122111322000
51031244114423312000
613105031510135132
7624122132233520
oct76702632257200
916262483575502
104321113104000
111416634772450
125995640514a8
1325462cac0294
1410d200517680
1577606ea88d5
hex3ee16695e80

4321113104000 has 256 divisors, whose sum is σ = 13394332074240. Its totient is φ = 1346840064000.

The previous prime is 4321113103997. The next prime is 4321113104057. The reversal of 4321113104000 is 4013111234.

4321113104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×43211131040003 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521699 + ... + 2985698.

It is an arithmetic number, because the mean of its divisors is an integer number (52321609665).

Almost surely, 24321113104000 is an apocalyptic number.

4321113104000 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 4321113104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697166037120).

4321113104000 is an abundant number, since it is smaller than the sum of its proper divisors (9073218970240).

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

4321113104000 is a wasteful number, since it uses less digits than its factorization.

4321113104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507444 (or 3507422 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 4321113104000 its reverse (4013111234), we get a palindrome (4325126215234).

The spelling of 4321113104000 in words is "four trillion, three hundred twenty-one billion, one hundred thirteen million, one hundred four thousand".