Search a number
-
+
144970144 = 25113711131
BaseRepresentation
bin10001010010000…
…01000110100000
3101002210020122121
420221001012200
5244103021034
622215114024
73410140324
oct1051010640
9332706577
10144970144
1174917240
1240672914
132405a667
1415379984
15cad91b4
hex8a411a0

144970144 has 48 divisors (see below), whose sum is σ = 319800096. Its totient is φ = 64108800.

The previous prime is 144970141. The next prime is 144970151. The reversal of 144970144 is 441079441.

144970144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144970141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7459 + ... + 18589.

It is an arithmetic number, because the mean of its divisors is an integer number (6662502).

Almost surely, 2144970144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144970144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159900048).

144970144 is an abundant number, since it is smaller than the sum of its proper divisors (174829952).

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

144970144 is a wasteful number, since it uses less digits than its factorization.

144970144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 144970144 is about 12040.3548120477. The cubic root of 144970144 is about 525.3227270456.

The spelling of 144970144 in words is "one hundred forty-four million, nine hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 3256 6512 11131 13024 22262 44524 89048 122441 178096 244882 356192 411847 489764 823694 979528 1647388 1959056 3294776 3918112 4530317 6589552 9060634 13179104 18121268 36242536 72485072 144970144