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1444020224304 = 243725910406003
BaseRepresentation
bin10101000000110110010…
…100000000000100110000
312010001021020210212221210
4111000312110000010300
5142124323134134204
63023212420520120
7206220111246300
oct25006624000460
95101236725853
101444020224304
11507450853359
121b3a3b550040
13a622a83c388
144dc68ab3600
1527867a64389
hex15036500130

1444020224304 has 120 divisors (see below), whose sum is σ = 4412978176320. Its totient is φ = 405584333952.

The previous prime is 1444020224291. The next prime is 1444020224351. The reversal of 1444020224304 is 4034220204441.

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, 5064234 + ... + 5341769.

It is an arithmetic number, because the mean of its divisors is an integer number (36774818136).

Almost surely, 21444020224304 is an apocalyptic number.

1444020224304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1444020224304 is an abundant number, since it is smaller than the sum of its proper divisors (2968957952016).

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

1444020224304 is a wasteful number, since it uses less digits than its factorization.

1444020224304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406087 (or 10406074 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 1444020224304 its reverse (4034220204441), we get a palindrome (5478240428745).

The spelling of 1444020224304 in words is "one trillion, four hundred forty-four billion, twenty million, two hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 59 84 98 112 118 147 168 177 196 236 294 336 354 392 413 472 588 708 784 826 944 1176 1239 1416 1652 2352 2478 2832 2891 3304 4956 5782 6608 8673 9912 11564 17346 19824 23128 34692 46256 69384 138768 10406003 20812006 31218009 41624012 62436018 72842021 83248024 124872036 145684042 166496048 218526063 249744072 291368084 437052126 499488144 509894147 582736168 613954177 874104252 1019788294 1165472336 1227908354 1529682441 1748208504 1841862531 2039576588 2455816708 3059364882 3496417008 3683725062 4079153176 4297679239 4911633416 6118729764 7367450124 8158306352 8595358478 9823266832 12237459528 12893037717 14734900248 17190716956 24474919056 25786075434 29469800496 30083754673 34381433912 51572150868 60167509346 68762867824 90251264019 103144301736 120335018692 180502528038 206288603472 240670037384 361005056076 481340074768 722010112152 1444020224304