Search a number
-
+
144487590000 = 243541317193137
BaseRepresentation
bin1000011010010000100…
…0011010100001110000
3111210221120220001221020
42012210020122201300
54331402310340000
6150213210255440
713303352152035
oct2064410324160
9453846801836
10144487590000
1156305528a06
1224004727580
1310818511cb0
146dc962738c
153b59bacba0
hex21a421a870

144487590000 has 1600 divisors, whose sum is σ = 593522012160. Its totient is φ = 29859840000.

The previous prime is 144487589959. The next prime is 144487590043. The reversal of 144487590000 is 95784441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3905069982 + ... + 3905070018.

Almost surely, 2144487590000 is an apocalyptic number.

144487590000 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 144487590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296761006080).

144487590000 is an abundant number, since it is smaller than the sum of its proper divisors (449034422160).

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

144487590000 is a wasteful number, since it uses less digits than its factorization.

144487590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 144487590000 in words is "one hundred forty-four billion, four hundred eighty-seven million, five hundred ninety thousand".