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144120024 = 233223293001
BaseRepresentation
bin10001001011100…
…01100011011000
3101001012001111200
420211301203120
5243343320044
622144554200
73366666666
oct1045614330
9331161450
10144120024
1174396564
1240322960
1323b20729
14151d7c36
15c9bc369
hex89718d8

144120024 has 96 divisors (see below), whose sum is σ = 421480800. Its totient is φ = 44352000.

The previous prime is 144120019. The next prime is 144120029. The reversal of 144120024 is 420021441.

144120024 is a `hidden beast` number, since 1 + 441 + 200 + 24 = 666.

It is a Cunningham number, because it is equal to 120052-1.

It is an interprime number because it is at equal distance from previous prime (144120019) and next prime (144120029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 144119979 and 144120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144120029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46524 + ... + 49524.

It is an arithmetic number, because the mean of its divisors is an integer number (4390425).

Almost surely, 2144120024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210740400).

144120024 is an abundant number, since it is smaller than the sum of its proper divisors (277360776).

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

144120024 is a wasteful number, since it uses less digits than its factorization.

144120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144120024 is about 12004.9999583507. Note that the first 4 decimals coincide. The cubic root of 144120024 is about 524.2938642643.

Adding to 144120024 its reverse (420021441), we get a palindrome (564141465).

The spelling of 144120024 in words is "one hundred forty-four million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 116 138 174 184 207 232 261 276 348 414 522 552 667 696 828 1044 1334 1656 2001 2088 2668 3001 4002 5336 6002 6003 8004 9003 12004 12006 16008 18006 24008 24012 27009 36012 48024 54018 69023 72024 87029 108036 138046 174058 207069 216072 261087 276092 348116 414138 522174 552184 621207 696232 783261 828276 1044348 1242414 1566522 1656552 2001667 2088696 2484828 3133044 4003334 4969656 6005001 6266088 8006668 12010002 16013336 18015003 24020004 36030006 48040008 72060012 144120024