Search a number
-
+
1721340720000 = 27345411193141
BaseRepresentation
bin11001000011000111111…
…001101111001110000000
320002120002012020201120000
4121003013321233032000
5211200301211020000
63354434545320000
7235235266464066
oct31030771571600
96076065221500
101721340720000
1160401aa63370
12239735636000
13c6424b04845
145d455b14036
152eb99120000
hex190c7e6f380

1721340720000 has 3200 divisors, whose sum is σ = 7772971852800. Its totient is φ = 373248000000.

The previous prime is 1721340719951. The next prime is 1721340720013. The reversal of 1721340720000 is 270431271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 41983919980 + ... + 41983920020.

It is an arithmetic number, because the mean of its divisors is an integer number (2429053704).

Almost surely, 21721340720000 is an apocalyptic number.

1721340720000 is a gapful number since it is divisible by the number (10) 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 1721340720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886485926400).

1721340720000 is an abundant number, since it is smaller than the sum of its proper divisors (6051631132800).

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

1721340720000 is a wasteful number, since it uses less digits than its factorization.

1721340720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 1721340720000 in words is "one trillion, seven hundred twenty-one billion, three hundred forty million, seven hundred twenty thousand".