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144919491360 = 25357229212467
BaseRepresentation
bin1000011011110111011…
…1111111001100100000
3111212001200120221012220
42012331313333030200
54333243342210420
6150324115351040
713320145231500
oct2067567771440
9455050527186
10144919491360
1156507302886
12241052b2480
1310886b42b27
14702ab33a00
153b82a73840
hex21bddff320

144919491360 has 288 divisors, whose sum is σ = 549340263360. Its totient is φ = 31982082048.

The previous prime is 144919491323. The next prime is 144919491377. The reversal of 144919491360 is 63194919441.

It is a super-2 number, since 2×1449194913602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575847 + ... + 788313.

It is an arithmetic number, because the mean of its divisors is an integer number (1907431470).

Almost surely, 2144919491360 is an apocalyptic number.

144919491360 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 144919491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274670131680).

144919491360 is an abundant number, since it is smaller than the sum of its proper divisors (404420772000).

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

144919491360 is a wasteful number, since it uses less digits than its factorization.

144919491360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212528 (or 212513 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 144919491360 in words is "one hundred forty-four billion, nine hundred nineteen million, four hundred ninety-one thousand, three hundred sixty".