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1444287300144 = 243134641149871
BaseRepresentation
bin10101000001000110001…
…110110100001000110000
312010001221212100202010120
4111001012032310020300
5142130400022101034
63023255121130240
7206226533331123
oct25010616641060
95101855322116
101444287300144
1150757858a397
121b3ab4a89980
13a6270c80210
144dc923563ba
152788121cc49
hex150463b4230

1444287300144 has 80 divisors (see below), whose sum is σ = 4018248482304. Its totient is φ = 444377606400.

The previous prime is 1444287300077. The next prime is 1444287300163. The reversal of 1444287300144 is 4410037824441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1444287300096 and 1444287300105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28935529 + ... + 28985399.

Almost surely, 21444287300144 is an apocalyptic number.

It is an amenable number.

1444287300144 is an abundant number, since it is smaller than the sum of its proper divisors (2573961182160).

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

1444287300144 is a wasteful number, since it uses less digits than its factorization.

1444287300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96306 (or 96300 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 1444287300144 in words is "one trillion, four hundred forty-four billion, two hundred eighty-seven million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 46411 49871 92822 99742 139233 149613 185644 199484 278466 299226 371288 398968 556932 598452 603343 648323 742576 797936 1113864 1196904 1206686 1296646 1810029 1944969 2227728 2393808 2413372 2593292 3620058 3889938 4826744 5186584 7240116 7779876 9653488 10373168 14480232 15559752 28960464 31119504 2314562981 4629125962 6943688943 9258251924 13887377886 18516503848 27774755772 30089318753 37033007696 55549511544 60178637506 90267956259 111099023088 120357275012 180535912518 240714550024 361071825036 481429100048 722143650072 1444287300144