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144334513000 = 2353144334513
BaseRepresentation
bin1000011001101100000…
…0011110001101101000
3111210112220211221202201
42012123000132031220
54331044113404000
6150150101305544
713266513055306
oct2063300361550
9453486757681
10144334513000
1156237084997
1223b814052b4
13107c28a66a2
146db317b276
153b4b52196a
hex219b01e368

144334513000 has 32 divisors (see below), whose sum is σ = 337742762760. Its totient is φ = 57733804800.

The previous prime is 144334512857. The next prime is 144334513003. The reversal of 144334513000 is 315433441.

It can be written as a sum of positive squares in 4 ways, for example, as 92926206244 + 51408306756 = 304838^2 + 226734^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144334513000.

It is not an unprimeable number, because it can be changed into a prime (144334513003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72166257 + ... + 72168256.

Almost surely, 2144334513000 is an apocalyptic number.

144334513000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144334513000 is an abundant number, since it is smaller than the sum of its proper divisors (193408249760).

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

144334513000 is a wasteful number, since it uses less digits than its factorization.

144334513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144334534 (or 144334520 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 144334513000 its reverse (315433441), we get a palindrome (144649946441).

The spelling of 144334513000 in words is "one hundred forty-four billion, three hundred thirty-four million, five hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 144334513 288669026 577338052 721672565 1154676104 1443345130 2886690260 3608362825 5773380520 7216725650 14433451300 18041814125 28866902600 36083628250 72167256500 144334513000