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144271980 = 22325978263
BaseRepresentation
bin10001001100101…
…10101001101100
3101001110202221200
420212112221230
5243413200410
622152125500
73401202006
oct1046265154
9331422850
10144271980
117448a746
1240396890
1323b74948
1415237376
15c9ec3c0
hex8996a6c

144271980 has 72 divisors (see below), whose sum is σ = 442190112. Its totient is φ = 38071296.

The previous prime is 144271973. The next prime is 144271987. The reversal of 144271980 is 89172441.

It is an interprime number because it is at equal distance from previous prime (144271973) and next prime (144271987).

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

It is not an unprimeable number, because it can be changed into a prime (144271987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13329 + ... + 21591.

Almost surely, 2144271980 is an apocalyptic number.

144271980 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 144271980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221095056).

144271980 is an abundant number, since it is smaller than the sum of its proper divisors (297918132).

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

144271980 is a wasteful number, since it uses less digits than its factorization.

144271980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 144271980 is about 12011.3271539826. The cubic root of 144271980 is about 524.4780663207.

The spelling of 144271980 in words is "one hundred forty-four million, two hundred seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8263 8730 16526 17460 24789 33052 41315 49578 74367 82630 99156 123945 148734 165260 247890 297468 371835 495780 743670 801511 1487340 1603022 2404533 3206044 4007555 4809066 7213599 8015110 9618132 12022665 14427198 16030220 24045330 28854396 36067995 48090660 72135990 144271980