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14748008148120 = 23351382231114967
BaseRepresentation
bin1101011010011100100111…
…0010010110110010011000
31221012220012001012222000110
43112213021302112302120
53413112410041214440
651211050313404320
73051336250612362
oct326471162266230
957186161188013
1014748008148120
114776660135555
1217a231a1096a0
1382c9675aa210
1438db43729d32
151a8969a47080
hexd69c9c96c98

14748008148120 has 128 divisors (see below), whose sum is σ = 47648404823040. Its totient is φ = 3630203205120.

The previous prime is 14748008148109. The next prime is 14748008148121. The reversal of 14748008148120 is 2184180084741.

14748008148120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14748008148120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14748008148121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128222877 + ... + 128337843.

It is an arithmetic number, because the mean of its divisors is an integer number (372253162680).

Almost surely, 214748008148120 is an apocalyptic number.

14748008148120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14748008148120 is an abundant number, since it is smaller than the sum of its proper divisors (32900396674920).

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

14748008148120 is a wasteful number, since it uses less digits than its factorization.

14748008148120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197225 (or 197221 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 14748008148120 in words is "fourteen trillion, seven hundred forty-eight billion, eight million, one hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 82231 114967 164462 229934 246693 328924 344901 411155 459868 493386 574835 657848 689802 822310 919736 986772 1069003 1149670 1233465 1379604 1494571 1644620 1724505 1973544 2138006 2299340 2466930 2759208 2989142 3207009 3289240 3449010 4276012 4483713 4598680 4933860 5345015 5978284 6414018 6898020 7472855 8552024 8967426 9867720 10690030 11956568 12828036 13796040 14945710 16035045 17934852 21380060 22418565 25656072 29891420 32070090 35869704 42760120 44837130 59782840 64140180 89674260 128280360 179348520 9453851377 18907702754 28361554131 37815405508 47269256885 56723108262 75630811016 94538513770 113446216524 122900067901 141807770655 189077027540 226892433048 245800135802 283615541310 368700203703 378154055080 491600271604 567231082620 614500339505 737400407406 983200543208 1134462165240 1229000679010 1474800814812 1843501018515 2458001358020 2949601629624 3687002037030 4916002716040 7374004074060 14748008148120