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144020230224 = 24313230801651
BaseRepresentation
bin1000011000100001000…
…1100101000001010000
3111202202000110201211220
42012020101211001100
54324423134331344
6150054553205040
713255645521063
oct2061021450120
9452660421756
10144020230224
1156095735662
1223ab4100780
1310772747850
146d8352a8da
153b2db40c19
hex2188465050

144020230224 has 40 divisors (see below), whose sum is σ = 400671667872. Its totient is φ = 44313916800.

The previous prime is 144020230217. The next prime is 144020230253. The reversal of 144020230224 is 422032020441.

144020230224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 144020230194 and 144020230203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115400202 + ... + 115401449.

Almost surely, 2144020230224 is an apocalyptic number.

It is an amenable number.

144020230224 is an abundant number, since it is smaller than the sum of its proper divisors (256651437648).

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

144020230224 is a wasteful number, since it uses less digits than its factorization.

144020230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230801675 (or 230801669 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144020230224 its reverse (422032020441), we get a palindrome (566052250665).

The spelling of 144020230224 in words is "one hundred forty-four billion, twenty million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 230801651 461603302 692404953 923206604 1384809906 1846413208 2769619812 3000421463 3692826416 5539239624 6000842926 9001264389 11078479248 12001685852 18002528778 24003371704 36005057556 48006743408 72010115112 144020230224