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144065480 = 235131743379
BaseRepresentation
bin10001001011001…
…00001111001000
3101001002021200112
420211210033020
5243340043410
622143453452
73366351656
oct1045441710
9331067615
10144065480
1174359589
12402b7288
1323b01960
14151c1dd6
15c9ab105
hex89643c8

144065480 has 128 divisors (see below), whose sum is σ = 379209600. Its totient is φ = 48771072.

The previous prime is 144065473. The next prime is 144065521. The reversal of 144065480 is 84560441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379931 + ... + 380309.

It is an arithmetic number, because the mean of its divisors is an integer number (2962575).

Almost surely, 2144065480 is an apocalyptic number.

144065480 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 144065480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

144065480 is an abundant number, since it is smaller than the sum of its proper divisors (235144120).

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

144065480 is a wasteful number, since it uses less digits than its factorization.

144065480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 144065480 is about 12002.7280232454. The cubic root of 144065480 is about 524.2277140927.

The spelling of 144065480 in words is "one hundred forty-four million, sixty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 43 52 65 68 85 86 104 130 136 170 172 215 221 260 340 344 379 430 442 520 559 680 731 758 860 884 1105 1118 1462 1516 1720 1768 1895 2210 2236 2795 2924 3032 3655 3790 4420 4472 4927 5590 5848 6443 7310 7580 8840 9503 9854 11180 12886 14620 15160 16297 19006 19708 22360 24635 25772 29240 32215 32594 38012 39416 47515 49270 51544 64430 65188 76024 81485 83759 95030 98540 128860 130376 162970 167518 190060 197080 211861 257720 277049 325940 335036 380120 418795 423722 554098 651880 670072 837590 847444 1059305 1108196 1385245 1675180 1694888 2118610 2216392 2770490 3350360 3601637 4237220 5540980 7203274 8474440 11081960 14406548 18008185 28813096 36016370 72032740 144065480