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144840080 = 24572113359
BaseRepresentation
bin10001010001000…
…01010110010000
3101002112122020102
420220201112100
5244034340310
622212231532
73406056200
oct1050412620
9332478212
10144840080
1174838550
124060b5a8
13240133b8
1415344400
15cab08a5
hex8a21590

144840080 has 120 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 45131520.

The previous prime is 144840079. The next prime is 144840083. The reversal of 144840080 is 80048441.

144840080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144840083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41441 + ... + 44799.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2144840080 is an apocalyptic number.

144840080 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 144840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

144840080 is an abundant number, since it is smaller than the sum of its proper divisors (282632560).

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

144840080 is a wasteful number, since it uses less digits than its factorization.

144840080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 144840080 is about 12034.9524303173. The cubic root of 144840080 is about 525.1655774034.

The spelling of 144840080 in words is "one hundred forty-four million, eight hundred forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1960 2156 2695 3080 3359 3920 4312 5390 6160 6718 8624 10780 13436 16795 21560 23513 26872 33590 36949 43120 47026 53744 67180 73898 94052 117565 134360 147796 164591 184745 188104 235130 258643 268720 295592 329182 369490 376208 470260 517286 591184 658364 738980 822955 940520 1034572 1293215 1316728 1477960 1645910 1810501 1881040 2069144 2586430 2633456 2955920 3291820 3621002 4138288 5172860 6583640 7242004 9052505 10345720 13167280 14484008 18105010 20691440 28968016 36210020 72420040 144840080