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1444221242240 = 27571718962989
BaseRepresentation
bin10101000001000010010…
…010110100101110000000
312010001210021001122201112
4111001002102310232000
5142130231114222430
63023244401222452
7206225102003360
oct25010222645600
95101707048645
101444221242240
11507544271087
121b3a96931a28
13a6260391aba
144dc8767c9a0
152787a520195
hex150424b4b80

1444221242240 has 128 divisors (see below), whose sum is σ = 4177925956800. Its totient is φ = 466034393088.

The previous prime is 1444221242129. The next prime is 1444221242287. The reversal of 1444221242240 is 422421224441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1444221242197 and 1444221242206.

It is a congruent number.

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, 9405335 + ... + 9557654.

Almost surely, 21444221242240 is an apocalyptic number.

1444221242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444221242240 is an abundant number, since it is smaller than the sum of its proper divisors (2733704714560).

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

1444221242240 is a wasteful number, since it uses less digits than its factorization.

1444221242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18963032 (or 18963020 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 1444221242240 its reverse (422421224441), we get a palindrome (1866642466681).

The spelling of 1444221242240 in words is "one trillion, four hundred forty-four billion, two hundred twenty-one million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1904 2176 2240 2380 2720 3808 4480 4760 5440 7616 9520 10880 15232 19040 38080 76160 18962989 37925978 75851956 94814945 132740923 151703912 189629890 265481846 303407824 322370813 379259780 530963692 606815648 644741626 663704615 758519560 1061927384 1213631296 1289483252 1327409230 1517039120 1611854065 2123854768 2256595691 2427262592 2578966504 2654818460 3034078240 3223708130 4247709536 4513191382 5157933008 5309636920 6068156480 6447416260 8495419072 9026382764 10315866016 10619273840 11282978455 12136312960 12894832520 16990838144 18052765528 20631732032 21238547680 22565956910 25789665040 36105531056 41263464064 42477095360 45131913820 51579330080 72211062112 84954190720 90263827640 103158660160 144422124224 180527655280 206317320320 288844248448 361055310560 722110621120 1444221242240