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1441014661350 = 23252112333124781
BaseRepresentation
bin10100111110000011001…
…010101100000011100110
312002202111210022110200100
4110332003022230003212
5142102144223130400
63021554253124530
7206052454344135
oct24760312540346
95082453273610
101441014661350
11506149233430
121b3340a89746
13a5b6bc5aa64
144da6185d91c
152773dc72100
hex14f832ac0e6

1441014661350 has 144 divisors (see below), whose sum is σ = 4225327155504. Its totient is φ = 349184352000.

The previous prime is 1441014661297. The next prime is 1441014661351. The reversal of 1441014661350 is 531664101441.

1441014661350 is a `hidden beast` number, since 1 + 44 + 101 + 466 + 1 + 3 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441014661351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11485960 + ... + 11610740.

It is an arithmetic number, because the mean of its divisors is an integer number (29342549691).

Almost surely, 21441014661350 is an apocalyptic number.

1441014661350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441014661350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112663577752).

1441014661350 is an abundant number, since it is smaller than the sum of its proper divisors (2784312494154).

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

1441014661350 is a wasteful number, since it uses less digits than its factorization.

1441014661350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127143 (or 127135 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 1441014661350 its reverse (531664101441), we get a palindrome (1972678762791).

The spelling of 1441014661350 in words is "one trillion, four hundred forty-one billion, fourteen million, six hundred sixty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2333 2475 4666 4950 6999 11665 13998 20997 23330 25663 34995 41994 51326 58325 69990 76989 104985 116650 124781 128315 153978 174975 209970 230967 249562 256630 349950 374343 384945 461934 524925 623905 641575 748686 769890 1049850 1123029 1154835 1247810 1283150 1372591 1871715 1924725 2246058 2309670 2745182 3119525 3743430 3849450 4117773 5615145 5774175 6239050 6862955 8235546 9358575 11230290 11548350 12353319 13725910 18717150 20588865 24706638 28075725 34314775 41177730 56151450 61766595 68629550 102944325 123533190 205888650 291114073 308832975 582228146 617665950 873342219 1455570365 1746684438 2620026657 2911140730 3202254803 4366711095 5240053314 6404509606 7277851825 8733422190 9606764409 13100133285 14555703650 16011274015 19213528818 21833555475 26200266570 28820293227 32022548030 43667110950 48033822045 57640586454 65500666425 80056370075 96067644090 131001332850 144101466135 160112740150 240169110225 288202932270 480338220450 720507330675 1441014661350