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144724416519 = 3937124941221
BaseRepresentation
bin1000011011001000111…
…1110101100000000111
3111211120002112002211210
42012302033311200013
54332343422312034
6150252510302503
713312256146254
oct2066217654007
9454502462753
10144724416519
1156417184201
122406bab7a33
13108555c1527
14700cc7442b
153b7088d8e9
hex21b23f5807

144724416519 has 16 divisors (see below), whose sum is σ = 193331180000. Its totient is φ = 96300472320.

The previous prime is 144724416503. The next prime is 144724416521. The reversal of 144724416519 is 915614427441.

It is a happy number.

It is not a de Polignac number, because 144724416519 - 24 = 144724416503 is a prime.

It is a super-2 number, since 2×1447244165192 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144724416119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3490329 + ... + 3531549.

It is an arithmetic number, because the mean of its divisors is an integer number (12083198750).

Almost surely, 2144724416519 is an apocalyptic number.

144724416519 is a deficient number, since it is larger than the sum of its proper divisors (48606763481).

144724416519 is a wasteful number, since it uses less digits than its factorization.

144724416519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43410.

The product of its digits is 967680, while the sum is 48.

The spelling of 144724416519 in words is "one hundred forty-four billion, seven hundred twenty-four million, four hundred sixteen thousand, five hundred nineteen".

Divisors: 1 3 937 1249 2811 3747 41221 123663 1170313 3510939 38624077 51485029 115872231 154455087 48241472173 144724416519