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144666450 = 23252417841
BaseRepresentation
bin10001001111101…
…10111101010010
3101002012211001200
420213312331102
5244013311300
622204412030
73404434035
oct1047667522
9332184050
10144666450
117472a055
1240547016
1323c82366
14152db01c
15ca79200
hex89f6f52

144666450 has 72 divisors (see below), whose sum is σ = 398201076. Its totient is φ = 37632000.

The previous prime is 144666391. The next prime is 144666463. The reversal of 144666450 is 54666441.

It can be written as a sum of positive squares in 6 ways, for example, as 11471769 + 133194681 = 3387^2 + 11541^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14530 + ... + 22370.

Almost surely, 2144666450 is an apocalyptic number.

144666450 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 144666450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199100538).

144666450 is an abundant number, since it is smaller than the sum of its proper divisors (253534626).

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

144666450 is a wasteful number, since it uses less digits than its factorization.

144666450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 144666450 is about 12027.7366948233. The cubic root of 144666450 is about 524.9556425108.

Subtracting from 144666450 its reverse (54666441), we obtain a palindrome (90000009).

It can be divided in two parts, 1446 and 66450, that added together give a triangular number (67896 = T368).

The spelling of 144666450 in words is "one hundred forty-four million, six hundred sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 7841 9225 15682 18450 23523 39205 47046 70569 78410 117615 141138 196025 235230 321481 352845 392050 588075 642962 705690 964443 1176150 1607405 1764225 1928886 2893329 3214810 3528450 4822215 5786658 8037025 9644430 14466645 16074050 24111075 28933290 48222150 72333225 144666450