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144456150 = 23521277583
BaseRepresentation
bin10001001110000…
…11100111010110
3101001211010120210
420213003213112
5243440044100
622200110250
73402566646
oct1047034726
9331733523
10144456150
11745a6053
1240465386
1323c0a717
1415284526
15ca36c50
hex89c39d6

144456150 has 48 divisors (see below), whose sum is σ = 361119744. Its totient is φ = 38213280.

The previous prime is 144456139. The next prime is 144456203. The reversal of 144456150 is 51654441.

144456150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15259 + ... + 22841.

It is an arithmetic number, because the mean of its divisors is an integer number (7523328).

Almost surely, 2144456150 is an apocalyptic number.

144456150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144456150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180559872).

144456150 is an abundant number, since it is smaller than the sum of its proper divisors (216663594).

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

144456150 is a wasteful number, since it uses less digits than its factorization.

144456150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 144456150 is about 12018.9912222283. The cubic root of 144456150 is about 524.7011451026.

The spelling of 144456150 in words is "one hundred forty-four million, four hundred fifty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 127 150 254 381 635 762 1270 1905 3175 3810 6350 7583 9525 15166 19050 22749 37915 45498 75830 113745 189575 227490 379150 568725 963041 1137450 1926082 2889123 4815205 5778246 9630410 14445615 24076025 28891230 48152050 72228075 144456150