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144052300 = 225271910831
BaseRepresentation
bin10001001011000…
…01000001001100
3101001001121121101
420211201001030
5243334133200
622143312444
73366265360
oct1045410114
9331047541
10144052300
117434a697
12402ab724
1323ac8962
14151bb2a0
15c9a726a
hex896104c

144052300 has 72 divisors (see below), whose sum is σ = 376087040. Its totient is φ = 46785600.

The previous prime is 144052297. The next prime is 144052301. The reversal of 144052300 is 3250441.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (144052301) 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, 7885 + ... + 18715.

Almost surely, 2144052300 is an apocalyptic number.

144052300 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 144052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188043520).

144052300 is an abundant number, since it is smaller than the sum of its proper divisors (232034740).

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

144052300 is a wasteful number, since it uses less digits than its factorization.

144052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 144052300 is about 12002.1789688373. The cubic root of 144052300 is about 524.2117270754.

The spelling of 144052300 in words is "one hundred forty-four million, fifty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 10831 13300 21662 43324 54155 75817 108310 151634 205789 216620 270775 303268 379085 411578 541550 758170 823156 1028945 1083100 1440523 1516340 1895425 2057890 2881046 3790850 4115780 5144725 5762092 7202615 7581700 10289450 14405230 20578900 28810460 36013075 72026150 144052300