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144288860 = 22517835113
BaseRepresentation
bin10001001100110…
…10110001011100
3101001111122002212
420212122301130
5243414220420
622152335552
73401302142
oct1046326134
9331448085
10144288860
11744a13a1
12403a45b8
1323b7c531
141523d592
15ca023c5
hex899ac5c

144288860 has 48 divisors (see below), whose sum is σ = 324759456. Its totient is φ = 53655552.

The previous prime is 144288853. The next prime is 144288883. The reversal of 144288860 is 68882441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25664 + ... + 30776.

It is an arithmetic number, because the mean of its divisors is an integer number (6765822).

Almost surely, 2144288860 is an apocalyptic number.

144288860 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 144288860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162379728).

144288860 is an abundant number, since it is smaller than the sum of its proper divisors (180470596).

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

144288860 is a wasteful number, since it uses less digits than its factorization.

144288860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 144288860 is about 12012.0298034928. The cubic root of 144288860 is about 524.4985203837.

The spelling of 144288860 in words is "one hundred forty-four million, two hundred eighty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 332 340 415 830 1411 1660 2822 5113 5644 7055 10226 14110 20452 25565 28220 51130 86921 102260 173842 347684 424379 434605 848758 869210 1697516 1738420 2121895 4243790 7214443 8487580 14428886 28857772 36072215 72144430 144288860