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144842280 = 233511197557
BaseRepresentation
bin10001010001000…
…01111000101000
3101002112202020220
420220201320220
5244034423110
622212250040
73406065462
oct1050417050
9332482226
10144842280
117483a170
1240610920
13240143bb
1415345132
15cab1370
hex8a21e28

144842280 has 128 divisors (see below), whose sum is σ = 477290880. Its totient is φ = 34872320.

The previous prime is 144842279. The next prime is 144842281. The reversal of 144842280 is 82248441.

It is an interprime number because it is at equal distance from previous prime (144842279) and next prime (144842281).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144842281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259762 + ... + 260318.

It is an arithmetic number, because the mean of its divisors is an integer number (3728835).

Almost surely, 2144842280 is an apocalyptic number.

144842280 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 144842280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238645440).

144842280 is an abundant number, since it is smaller than the sum of its proper divisors (332448600).

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

144842280 is a wasteful number, since it uses less digits than its factorization.

144842280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 144842280 is about 12035.0438304146. The cubic root of 144842280 is about 525.1682363323.

The spelling of 144842280 in words is "one hundred forty-four million, eight hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 197 220 264 330 394 440 557 591 660 788 985 1114 1182 1320 1576 1671 1970 2167 2228 2364 2785 2955 3342 3940 4334 4456 4728 5570 5910 6127 6501 6684 7880 8355 8668 10835 11140 11820 12254 13002 13368 16710 17336 18381 21670 22280 23640 24508 26004 30635 32505 33420 36762 43340 49016 52008 61270 65010 66840 73524 86680 91905 109729 122540 130020 147048 183810 219458 245080 260040 329187 367620 438916 548645 658374 735240 877832 1097290 1207019 1316748 1645935 2194580 2414038 2633496 3291870 3621057 4389160 4828076 6035095 6583740 7242114 9656152 12070190 13167480 14484228 18105285 24140380 28968456 36210570 48280760 72421140 144842280