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144442880 = 295173319
BaseRepresentation
bin10001001110000…
…00011000000000
3101001210110101022
420213000120000
5243434133010
622155525012
73402513161
oct1047003000
9331713338
10144442880
117459708a
1240459768
1323c0467a
141527d768
15ca32d55
hex89c0600

144442880 has 80 divisors (see below), whose sum is σ = 366806880. Its totient is φ = 54362112.

The previous prime is 144442873. The next prime is 144442901. The reversal of 144442880 is 88244441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 144442880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41861 + ... + 45179.

It is an arithmetic number, because the mean of its divisors is an integer number (4585086).

Almost surely, 2144442880 is an apocalyptic number.

144442880 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 144442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183403440).

144442880 is an abundant number, since it is smaller than the sum of its proper divisors (222364000).

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

144442880 is an equidigital number, since it uses as much as digits as its factorization.

144442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 35.

The square root of 144442880 is about 12018.4391665474. The cubic root of 144442880 is about 524.6850779491.

The spelling of 144442880 in words is "one hundred forty-four million, four hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 3319 4352 5440 6638 8704 10880 13276 16595 21760 26552 33190 43520 53104 56423 66380 106208 112846 132760 212416 225692 265520 282115 424832 451384 531040 564230 849664 902768 1062080 1128460 1699328 1805536 2124160 2256920 3611072 4248320 4513840 7222144 8496640 9027680 14444288 18055360 28888576 36110720 72221440 144442880