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144047700 = 223352311721
BaseRepresentation
bin10001001010111…
…11111001010100
3101001001101022000
420211133321110
5243334011300
622143235300
73366246066
oct1045377124
9331041260
10144047700
1174347195
12402a8b30
1323ac6834
14151b9736
15c9a5c00
hex895fe54

144047700 has 144 divisors (see below), whose sum is σ = 478302720. Its totient is φ = 37152000.

The previous prime is 144047699. The next prime is 144047707. The reversal of 144047700 is 7740441.

144047700 = T316 + T317 + ... + T963.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144047707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82840 + ... + 84560.

Almost surely, 2144047700 is an apocalyptic number.

144047700 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 144047700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239151360).

144047700 is an abundant number, since it is smaller than the sum of its proper divisors (334255020).

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

144047700 is a wasteful number, since it uses less digits than its factorization.

144047700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 144047700 is about 12001.9873354374. The cubic root of 144047700 is about 524.2061471584.

The spelling of 144047700 in words is "one hundred forty-four million, forty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 60 62 75 90 93 100 108 124 135 150 155 180 186 225 270 279 300 310 372 450 465 540 558 620 675 775 837 900 930 1116 1350 1395 1550 1674 1721 1860 2325 2700 2790 3100 3348 3442 4185 4650 5163 5580 6884 6975 8370 8605 9300 10326 13950 15489 16740 17210 20652 20925 25815 27900 30978 34420 41850 43025 46467 51630 53351 61956 77445 83700 86050 92934 103260 106702 129075 154890 160053 172100 185868 213404 232335 258150 266755 309780 320106 387225 464670 480159 516300 533510 640212 774450 800265 929340 960318 1067020 1161675 1333775 1440477 1548900 1600530 1920636 2323350 2400795 2667550 2880954 3201060 4001325 4646700 4801590 5335100 5761908 7202385 8002650 9603180 12003975 14404770 16005300 24007950 28809540 36011925 48015900 72023850 144047700