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1444003412110 = 257213175729717
BaseRepresentation
bin10101000000110101010…
…011110111100010001110
312010001020002011201221221
4111000311103313202032
5142124304333141420
63023211020313554
7206216515325200
oct25006523674216
95101202151857
101444003412110
11507442310086
121b3a359a28ba
13a6227203c2c
144dc66778770
1527866342caa
hex150354f788e

1444003412110 has 96 divisors (see below), whose sum is σ = 3050774277408. Its totient is φ = 490642064640.

The previous prime is 1444003412101. The next prime is 1444003412113. The reversal of 1444003412110 is 112143004441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444003412113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48576972 + ... + 48606688.

It is an arithmetic number, because the mean of its divisors is an integer number (31778898723).

Almost surely, 21444003412110 is an apocalyptic number.

1444003412110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1444003412110 is an abundant number, since it is smaller than the sum of its proper divisors (1606770865298).

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

1444003412110 is a wasteful number, since it uses less digits than its factorization.

1444003412110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30626 (or 30619 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1444003412110 its reverse (112143004441), we get a palindrome (1556146416551).

The spelling of 1444003412110 in words is "one trillion, four hundred forty-four billion, three million, four hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 131 245 262 490 655 757 917 1310 1514 1834 3785 4585 5299 6419 7570 9170 10598 12838 26495 29717 32095 37093 52990 59434 64190 74186 99167 148585 185465 198334 208019 297170 370930 416038 495835 694169 991670 1040095 1388338 1456133 2080190 2912266 3470845 3892927 4859183 6941690 7280665 7785854 9718366 14561330 19464635 22495769 24295915 27250489 38929270 44991538 48591830 54500978 112478845 136252445 157470383 190753423 224957690 272504890 314940766 381506846 787351915 953767115 1102292681 1574703830 1907534230 2204585362 2946945739 5511463405 5893891478 11022926810 14734728695 20628620173 29469457390 41257240346 103143100865 144400341211 206286201730 288800682422 722001706055 1444003412110