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144811530 = 23354312473
BaseRepresentation
bin10001010000110…
…10011000001010
3101002111012002000
420220122120022
5244032432110
622211451430
73405610023
oct1050323012
9332435060
10144811530
1174819056
12405b6b76
13240033c6
1415337c4a
15caa71c0
hex8a1a60a

144811530 has 64 divisors (see below), whose sum is σ = 395176320. Its totient is φ = 37715328.

The previous prime is 144811523. The next prime is 144811607. The reversal of 144811530 is 35118441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144811494 and 144811503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5374 + ... + 17846.

It is an arithmetic number, because the mean of its divisors is an integer number (6174630).

Almost surely, 2144811530 is an apocalyptic number.

144811530 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 144811530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197588160).

144811530 is an abundant number, since it is smaller than the sum of its proper divisors (250364790).

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

144811530 is a wasteful number, since it uses less digits than its factorization.

144811530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12532 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 144811530 is about 12033.7662433670. The cubic root of 144811530 is about 525.1310693159.

Adding to 144811530 its reverse (35118441), we get a palindrome (179929971).

The spelling of 144811530 in words is "one hundred forty-four million, eight hundred eleven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 11610 12473 24946 37419 62365 74838 112257 124730 187095 224514 336771 374190 536339 561285 673542 1072678 1122570 1609017 1683855 2681695 3218034 3367710 4827051 5363390 8045085 9654102 14481153 16090170 24135255 28962306 48270510 72405765 144811530