Search a number
-
+
144011510000 = 2454231036079
BaseRepresentation
bin1000011000011111000…
…0010100000011110000
3111202201102001200221122
42012013300110003300
54324413421310000
6150054042241412
713255511431511
oct2060760240360
9452642050848
10144011510000
1156090819a66
1223ab11b6268
13107709b3657
146d822daa08
153b2cebc085
hex2187c140f0

144011510000 has 200 divisors, whose sum is σ = 367418388480. Its totient is φ = 54556128000.

The previous prime is 144011509991. The next prime is 144011510033. The reversal of 144011510000 is 15110441.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23686961 + ... + 23693039.

Almost surely, 2144011510000 is an apocalyptic number.

144011510000 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 144011510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183709194240).

144011510000 is an abundant number, since it is smaller than the sum of its proper divisors (223406878480).

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

144011510000 is a wasteful number, since it uses less digits than its factorization.

144011510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 144011510000 its reverse (15110441), we get a palindrome (144026620441).

The spelling of 144011510000 in words is "one hundred forty-four billion, eleven million, five hundred ten thousand".