Search a number
-
+
144577104 = 2437430289
BaseRepresentation
bin10001001111000…
…01001001010000
3101002001021111120
420213201021100
5244002431404
622202442240
73403612410
oct1047411120
9332037446
10144577104
1174678a11
1240503380
1323c507a9
14152b6640
15ca5c9d9
hex89e1250

144577104 has 40 divisors (see below), whose sum is σ = 426847680. Its totient is φ = 41307648.

The previous prime is 144577079. The next prime is 144577109. The reversal of 144577104 is 401775441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144577109) 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, 214809 + ... + 215480.

It is an arithmetic number, because the mean of its divisors is an integer number (10671192).

Almost surely, 2144577104 is an apocalyptic number.

144577104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144577104 is an abundant number, since it is smaller than the sum of its proper divisors (282270576).

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

144577104 is a wasteful number, since it uses less digits than its factorization.

144577104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430307 (or 430301 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 144577104 is about 12024.0219560678. The cubic root of 144577104 is about 524.8475493861.

The spelling of 144577104 in words is "one hundred forty-four million, five hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 430289 860578 1290867 1721156 2581734 3012023 3442312 5163468 6024046 6884624 9036069 10326936 12048092 18072138 20653872 24096184 36144276 48192368 72288552 144577104