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144442688 = 26131271367
BaseRepresentation
bin10001001110000…
…00010101000000
3101001210110010012
420213000111000
5243434131223
622155524052
73402512465
oct1047002500
9331713105
10144442688
1174596a25
1240459628
1323c04560
141527d66c
15ca32c78
hex89c0540

144442688 has 56 divisors (see below), whose sum is σ = 311334912. Its totient is φ = 66092544.

The previous prime is 144442681. The next prime is 144442699. The reversal of 144442688 is 886244441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442681) 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, 104981 + ... + 106347.

It is an arithmetic number, because the mean of its divisors is an integer number (5559552).

Almost surely, 2144442688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

144442688 is an abundant number, since it is smaller than the sum of its proper divisors (166892224).

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

144442688 is a wasteful number, since it uses less digits than its factorization.

144442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1509 counting only the distinct ones).

The product of its digits is 196608, while the sum is 41.

The square root of 144442688 is about 12018.4311788186. The cubic root of 144442688 is about 524.6848454707.

The spelling of 144442688 in words is "one hundred forty-four million, four hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 208 254 416 508 832 1016 1367 1651 2032 2734 3302 4064 5468 6604 8128 10936 13208 17771 21872 26416 35542 43744 52832 71084 87488 105664 142168 173609 284336 347218 568672 694436 1137344 1388872 2256917 2777744 4513834 5555488 9027668 11110976 18055336 36110672 72221344 144442688