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14001012020320 = 2551359114089081
BaseRepresentation
bin1100101110111101110101…
…0110010001010001100000
31211120111001121012220122121
43023233131112101101200
53313343033034122240
645435550502114024
72643353062364113
oct313573526212140
954514047186577
1014001012020320
114508883309516
1216a15a671b914
137a739c80c440
1436591ca2857a
151942e9ba604a
hexcbbdd591460

14001012020320 has 96 divisors (see below), whose sum is σ = 36225565316640. Its totient is φ = 5081983979520.

The previous prime is 14001012020309. The next prime is 14001012020327. The reversal of 14001012020320 is 2302021010041.

14001012020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14001012020294 and 14001012020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001012020327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56921821 + ... + 57167260.

It is an arithmetic number, because the mean of its divisors is an integer number (377349638715).

Almost surely, 214001012020320 is an apocalyptic number.

14001012020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001012020320 is an abundant number, since it is smaller than the sum of its proper divisors (22224553296320).

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

14001012020320 is a wasteful number, since it uses less digits than its factorization.

14001012020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114089168 (or 114089160 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14001012020320 its reverse (2302021010041), we get a palindrome (16303033030361).

The spelling of 14001012020320 in words is "fourteen trillion, one billion, twelve million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 65 80 104 118 130 160 208 236 260 295 416 472 520 590 767 944 1040 1180 1534 1888 2080 2360 3068 3835 4720 6136 7670 9440 12272 15340 24544 30680 61360 122720 114089081 228178162 456356324 570445405 912712648 1140890810 1483158053 1825425296 2281781620 2966316106 3650850592 4563563240 5932632212 6731255779 7415790265 9127126480 11865264424 13462511558 14831580530 18254252960 23730528848 26925023116 29663161060 33656278895 47461057696 53850046232 59326322120 67312557790 87506325127 107700092464 118652644240 134625115580 175012650254 215400184928 237305288480 269250231160 350025300508 437531625635 538500462320 700050601016 875063251270 1077000924640 1400101202032 1750126502540 2800202404064 3500253005080 7000506010160 14001012020320