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144949140 = 2232571767101
BaseRepresentation
bin10001010001110…
…11111110010100
3101002202011211200
420220323332110
5244101333030
622214432500
73410022150
oct1050737624
9332664750
10144949140
1174902486
1240662730
1324050c2b
1415372060
15cad2d60
hex8a3bf94

144949140 has 288 divisors, whose sum is σ = 545336064. Its totient is φ = 30412800.

The previous prime is 144949111. The next prime is 144949159. The reversal of 144949140 is 41949441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144949095 and 144949104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1435090 + ... + 1435190.

It is an arithmetic number, because the mean of its divisors is an integer number (1893528).

Almost surely, 2144949140 is an apocalyptic number.

144949140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144949140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272668032).

144949140 is an abundant number, since it is smaller than the sum of its proper divisors (400386924).

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

144949140 is a wasteful number, since it uses less digits than its factorization.

144949140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 144949140 is about 12039.4825470200. The cubic root of 144949140 is about 525.2973553583.

The spelling of 144949140 in words is "one hundred forty-four million, nine hundred forty-nine thousand, one hundred forty".