Search a number
-
+
144141403200000 = 2935537811607
BaseRepresentation
bin100000110001100010001001…
…001000101001101000000000
3200220100210011020000001210220
4200301202021020221220000
5122343103043204400000
61230321351350223040
742234605225462463
oct4061421110515000
9626323136001726
10144141403200000
1141a23031390978
12141bb6a0354a80
1362576259ca27b
1427846a43612da
15119e6ae4911a0
hex831889229a00

144141403200000 has 480 divisors, whose sum is σ = 492944221300608. Its totient is φ = 37398804480000.

The previous prime is 144141403199977. The next prime is 144141403200059. The reversal of 144141403200000 is 2304141441.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177194197 + ... + 178005803.

Almost surely, 2144141403200000 is an apocalyptic number.

144141403200000 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 144141403200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246472110650304).

144141403200000 is an abundant number, since it is smaller than the sum of its proper divisors (348802818100608).

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

144141403200000 is an frugal number, since it uses more digits than its factorization.

144141403200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811690 (or 811654 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144141403200000 its reverse (2304141441), we get a palindrome (144143707341441).

The spelling of 144141403200000 in words is "one hundred forty-four trillion, one hundred forty-one billion, four hundred three million, two hundred thousand".