Search a number
-
+
144721808 = 24711259181
BaseRepresentation
bin10001010000001…
…00011110010000
3101002022121222222
420220010132100
5244022044213
622205520212
73405054320
oct1050043620
9332277888
10144721808
1174767700
1240573068
1323ca160a
1415313280
15ca8a808
hex8a04790

144721808 has 120 divisors (see below), whose sum is σ = 360185280. Its totient is φ = 55123200.

The previous prime is 144721793. The next prime is 144721823. The reversal of 144721808 is 808127441.

It is an interprime number because it is at equal distance from previous prime (144721793) and next prime (144721823).

It is a super-3 number, since 3×1447218083 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 9.

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, 799478 + ... + 799658.

It is an arithmetic number, because the mean of its divisors is an integer number (3001544).

Almost surely, 2144721808 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 144721808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640).

144721808 is an abundant number, since it is smaller than the sum of its proper divisors (215463472).

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

144721808 is a wasteful number, since it uses less digits than its factorization.

144721808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 144721808 is about 12030.0377389267. The cubic root of 144721808 is about 525.0225937366.

The spelling of 144721808 in words is "one hundred forty-four million, seven hundred twenty-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 88 112 118 121 154 176 181 236 242 308 362 413 472 484 616 649 724 826 847 944 968 1232 1267 1298 1448 1652 1694 1936 1991 2534 2596 2896 3304 3388 3982 4543 5068 5192 6608 6776 7139 7964 9086 10136 10384 10679 13552 13937 14278 15928 18172 20272 21358 21901 27874 28556 31856 36344 42716 43802 49973 55748 57112 72688 74753 85432 87604 99946 111496 114224 117469 149506 153307 170864 175208 199892 222992 234938 299012 306614 350416 399784 469876 598024 613228 799568 822283 939752 1196048 1226456 1292159 1644566 1879504 2452912 2584318 3289132 5168636 6578264 9045113 10337272 13156528 18090226 20674544 36180452 72360904 144721808