Search a number
-
+
144425503008 = 25331723427517
BaseRepresentation
bin1000011010000001101…
…1100100100100100000
3111210210021001201121000
42012200123210210200
54331240412044013
6150203111432000
713301666343303
oct2064033444440
9453707051530
10144425503008
1156283482046
1223ba7985600
13108086b4127
146dc12a4b3a
153b544e6973
hex21a06e4920

144425503008 has 192 divisors, whose sum is σ = 465413195520. Its totient is φ = 43339862016.

The previous prime is 144425502941. The next prime is 144425503009. The reversal of 144425503008 is 800305524441.

It is a happy number.

144425503008 is a `hidden beast` number, since 144 + 4 + 2 + 5 + 503 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1444255030082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144425503009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 124066 + ... + 551582.

It is an arithmetic number, because the mean of its divisors is an integer number (2424027060).

Almost surely, 2144425503008 is an apocalyptic number.

144425503008 is a gapful number since it is divisible by the number (18) 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 144425503008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232706597760).

144425503008 is an abundant number, since it is smaller than the sum of its proper divisors (320987692512).

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

144425503008 is a wasteful number, since it uses less digits than its factorization.

144425503008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427576 (or 427562 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 144425503008 in words is "one hundred forty-four billion, four hundred twenty-five million, five hundred three thousand, eight".