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144000030 = 235173977
BaseRepresentation
bin10001001010101…
…00010000011110
3101000221221220110
420211110100132
5243331000110
622142230450
73365660106
oct1045242036
9330857813
10144000030
1174314399
1240285426
1323aaac25
14151a6206
15c996a20
hex895441e

144000030 has 64 divisors (see below), whose sum is σ = 367571520. Its totient is φ = 36104192.

The previous prime is 144000023. The next prime is 144000037. The reversal of 144000030 is 30000441.

144000030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144000023) and next prime (144000037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146902 + ... + 147878.

It is an arithmetic number, because the mean of its divisors is an integer number (5743305).

Almost surely, 2144000030 is an apocalyptic number.

144000030 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 144000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183785760).

144000030 is an abundant number, since it is smaller than the sum of its proper divisors (223571490).

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

144000030 is an equidigital number, since it uses as much as digits as its factorization.

144000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 144000030 is about 12000.0012499999. The cubic root of 144000030 is about 524.1483152410.

Adding to 144000030 its reverse (30000441), we get a palindrome (174000471).

The spelling of 144000030 in words is "one hundred forty-four million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 977 1445 1734 1954 2890 2931 4335 4885 4913 5862 8670 9770 9826 14655 14739 16609 24565 29310 29478 33218 49130 49827 73695 83045 99654 147390 166090 249135 282353 498270 564706 847059 1411765 1694118 2823530 4235295 4800001 8470590 9600002 14400003 24000005 28800006 48000010 72000015 144000030