Search a number
-
+
144454860 = 223351183293
BaseRepresentation
bin10001001110000…
…11010011001100
3101001211001211000
420213003103030
5243440023420
622200100300
73402563124
oct1047032314
9331731730
10144454860
11745a5090
1240464690
1323c09c64
1415283c84
15ca36690
hex89c34cc

144454860 has 192 divisors, whose sum is σ = 497871360. Its totient is φ = 34479360.

The previous prime is 144454847. The next prime is 144454873. The reversal of 144454860 is 68454441.

It is a happy number.

144454860 is a `hidden beast` number, since 14 + 44 + 548 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (144454847) and next prime (144454873).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 492874 + ... + 493166.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2144454860 is an apocalyptic number.

144454860 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 144454860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248935680).

144454860 is an abundant number, since it is smaller than the sum of its proper divisors (353416500).

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

144454860 is a wasteful number, since it uses less digits than its factorization.

144454860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 144454860 is about 12018.9375570389. The cubic root of 144454860 is about 524.6995832296.

The spelling of 144454860 in words is "one hundred forty-four million, four hundred fifty-four thousand, eight hundred sixty".