Search a number
-
+
144657500 = 2254134451
BaseRepresentation
bin10001001111101…
…00110001011100
3101002012100210012
420213310301130
5244013020000
622204302352
73404365661
oct1047646134
9332170705
10144657500
1174723359
12405419b8
1323c7b270
14152d7a68
15ca76735
hex89f4c5c

144657500 has 60 divisors (see below), whose sum is σ = 340747176. Its totient is φ = 53400000.

The previous prime is 144657467. The next prime is 144657503. The reversal of 144657500 is 5756441.

144657500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144657503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30275 + ... + 34725.

Almost surely, 2144657500 is an apocalyptic number.

144657500 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 144657500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170373588).

144657500 is an abundant number, since it is smaller than the sum of its proper divisors (196089676).

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

144657500 is a wasteful number, since it uses less digits than its factorization.

144657500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 144657500 is about 12027.3646323706. The cubic root of 144657500 is about 524.9448165732.

The spelling of 144657500 in words is "one hundred forty-four million, six hundred fifty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3250 4451 6500 8125 8902 16250 17804 22255 32500 44510 57863 89020 111275 115726 222550 231452 289315 445100 556375 578630 1112750 1157260 1446575 2225500 2781875 2893150 5563750 5786300 7232875 11127500 14465750 28931500 36164375 72328750 144657500