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144884142 = 232133119973
BaseRepresentation
bin10001010001011…
…00000110101110
3101002121212200100
420220230012232
5244042243032
622213211530
73406331514
oct1050540656
9332555610
10144884142
1174868667
1240630ba6
132402a480
14153564b4
15cabd97c
hex8a2c1ae

144884142 has 48 divisors (see below), whose sum is σ = 348985728. Its totient is φ = 43139520.

The previous prime is 144884059. The next prime is 144884161. The reversal of 144884142 is 241488441.

It is a junction number, because it is equal to n+sod(n) for n = 144884097 and 144884106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2733 + ... + 17240.

It is an arithmetic number, because the mean of its divisors is an integer number (7270536).

Almost surely, 2144884142 is an apocalyptic number.

144884142 is an abundant number, since it is smaller than the sum of its proper divisors (204101586).

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

144884142 is a wasteful number, since it uses less digits than its factorization.

144884142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20025 (or 20022 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 144884142 is about 12036.7828758352. The cubic root of 144884142 is about 525.2188257851.

The spelling of 144884142 in words is "one hundred forty-four million, eight hundred eighty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 19973 39946 59919 119838 179757 259649 359514 519298 619163 778947 1238326 1557894 1857489 2336841 3714978 4673682 5572467 8049119 11144934 16098238 24147357 48294714 72442071 144884142