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144441144324204 = 223721318896015741
BaseRepresentation
bin100000110101111001010011…
…000110010011000001101100
3200221102102211200210211201120
4200311321103012103001230
5122413010430421333304
61231111202354540540
742265346131135200
oct4065712306230154
9627372750724646
10144441144324204
1142029166441a32
12142497b2b97750
136279983cc9520
142794dbad56b00
1511a73a40660d9
hex835e5319306c

144441144324204 has 72 divisors (see below), whose sum is σ = 422212575739248. Its totient is φ = 38094367731840.

The previous prime is 144441144324187. The next prime is 144441144324227. The reversal of 144441144324204 is 402423441144441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9448000227 + ... + 9448015514.

It is an arithmetic number, because the mean of its divisors is an integer number (5864063551934).

Almost surely, 2144441144324204 is an apocalyptic number.

144441144324204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144441144324204 is an abundant number, since it is smaller than the sum of its proper divisors (277771431415044).

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

144441144324204 is a wasteful number, since it uses less digits than its factorization.

144441144324204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18896015775 (or 18896015766 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

Adding to 144441144324204 its reverse (402423441144441), we get a palindrome (546864585468645).

The spelling of 144441144324204 in words is "one hundred forty-four trillion, four hundred forty-one billion, one hundred forty-four million, three hundred twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 18896015741 37792031482 56688047223 75584062964 113376094446 132272110187 226752188892 245648204633 264544220374 396816330561 491296409266 529088440748 736944613899 793632661122 925904771309 982592818532 1473889227798 1587265322244 1719537432431 1851809542618 2777714313927 2947778455596 3439074864862 3703619085236 5158612297293 5555428627854 6878149729724 10317224594586 11110857255708 12036762027017 20634449189172 24073524054034 36110286081051 48147048108068 72220572162102 144441144324204