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144442980 = 223351124317
BaseRepresentation
bin10001001110000…
…00011001100100
3101001210110112000
420213000121210
5243434133410
622155525300
73402513363
oct1047003144
9331713460
10144442980
1174597170
1240459830
1323c04726
141527d7da
15ca32dc0
hex89c0664

144442980 has 96 divisors (see below), whose sum is σ = 490250880. Its totient is φ = 35015040.

The previous prime is 144442979. The next prime is 144443009. The reversal of 144442980 is 89244441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6219 + ... + 18098.

It is an arithmetic number, because the mean of its divisors is an integer number (5106780).

Almost surely, 2144442980 is an apocalyptic number.

144442980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442980 is an abundant number, since it is smaller than the sum of its proper divisors (345807900).

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

144442980 is a wasteful number, since it uses less digits than its factorization.

144442980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24346 (or 24338 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 144442980 is about 12018.4433268207. The cubic root of 144442980 is about 524.6851990316.

It can be divided in two parts, 14444 and 2980, that added together give a square (17424 = 1322).

The spelling of 144442980 in words is "one hundred forty-four million, four hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 24317 48634 72951 97268 121585 145902 218853 243170 267487 291804 364755 437706 486340 534974 656559 729510 802461 875412 1069948 1094265 1313118 1337435 1459020 1604922 2188530 2407383 2626236 2674870 3209844 3282795 4012305 4377060 4814766 5349740 6565590 7222149 8024610 9629532 12036915 13131180 14444298 16049220 24073830 28888596 36110745 48147660 72221490 144442980