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14403322300120 = 23513473831538731
BaseRepresentation
bin1101000110011000100011…
…1010001100011011011000
31212222221111021222122201221
43101212020322030123120
53341441001002100440
650344443411421424
73014414516342545
oct321461072143330
955887437878657
1014403322300120
114653461a43266
1217475635b4874
138062c5981940
1437b1a5973bcc
1519e9e4301d4a
hexd1988e8c6d8

14403322300120 has 128 divisors (see below), whose sum is σ = 35736004362240. Its totient is φ = 5191404203520.

The previous prime is 14403322300063. The next prime is 14403322300181. The reversal of 14403322300120 is 2100322330441.

It is a super-2 number, since 2×144033223001202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8591155 + ... + 10129885.

It is an arithmetic number, because the mean of its divisors is an integer number (279187534080).

Almost surely, 214403322300120 is an apocalyptic number.

14403322300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14403322300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868002181120).

14403322300120 is an abundant number, since it is smaller than the sum of its proper divisors (21332682062120).

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

14403322300120 is a wasteful number, since it uses less digits than its factorization.

14403322300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539185 (or 1539181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 14403322300120 its reverse (2100322330441), we get a palindrome (16503644630561).

The spelling of 14403322300120 in words is "fourteen trillion, four hundred three billion, three hundred twenty-two million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 383 470 520 611 766 940 1222 1532 1880 1915 2444 3055 3064 3830 4888 4979 6110 7660 9958 12220 15320 18001 19916 24440 24895 36002 39832 49790 72004 90005 99580 144008 180010 199160 234013 360020 468026 720040 936052 1170065 1538731 1872104 2340130 3077462 4680260 6154924 7693655 9360520 12309848 15387310 20003503 30774620 40007006 61549240 72320357 80014012 100017515 144640714 160028024 200035030 289281428 361601785 400070060 578562856 589333973 723203570 800140120 940164641 1178667946 1446407140 1880329282 2357335892 2892814280 2946669865 3760658564 4700823205 4714671784 5893339730 7521317128 7661341649 9401646410 11786679460 15322683298 18803292820 23573358920 27698696731 30645366596 37606585640 38306708245 55397393462 61290733192 76613416490 110794786924 138493483655 153226832980 221589573848 276986967310 306453665960 360083057503 553973934620 720166115006 1107947869240 1440332230012 1800415287515 2880664460024 3600830575030 7201661150060 14403322300120