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144303104 = 2101123557
BaseRepresentation
bin10001001100111…
…10010000000000
3101001112100122102
420212132100000
5243420144404
622152525532
73401361521
oct1046362000
9331470572
10144303104
1174501070
12403b08a8
1323b85b6a
1415244848
15ca0671e
hex899e400

144303104 has 88 divisors (see below), whose sum is σ = 328961088. Its totient is φ = 62627840.

The previous prime is 144303097. The next prime is 144303121. The reversal of 144303104 is 401303441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258794 + ... + 259350.

Almost surely, 2144303104 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 144303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164480544).

144303104 is an abundant number, since it is smaller than the sum of its proper divisors (184657984).

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

144303104 is a wasteful number, since it uses less digits than its factorization.

144303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144303104 is about 12012.6226944827. The cubic root of 144303104 is about 524.5157790760.

Adding to 144303104 its reverse (401303441), we get a palindrome (545606545).

The spelling of 144303104 in words is "one hundred forty-four million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 557 704 736 1012 1024 1114 1408 1472 2024 2228 2816 2944 4048 4456 5632 5888 6127 8096 8912 11264 11776 12254 12811 16192 17824 23552 24508 25622 32384 35648 49016 51244 64768 71296 98032 102488 129536 140921 142592 196064 204976 259072 281842 285184 392128 409952 563684 570368 784256 819904 1127368 1568512 1639808 2254736 3137024 3279616 4509472 6274048 6559232 9018944 13118464 18037888 36075776 72151552 144303104