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14102011320 = 2335971916343
BaseRepresentation
bin11010010001000101…
…11001110110111000
31100101210102101210120
431020202321312320
5212340103330240
610251155013240
71006314055425
oct151042716670
940353371716
1014102011320
115a87243911
12289689a220
1314397a7cc7
1497ac6cd4c
15578083ad0
hex3488b9db8

14102011320 has 128 divisors (see below), whose sum is σ = 42972733440. Its totient is φ = 3701698560.

The previous prime is 14102011307. The next prime is 14102011331. The reversal of 14102011320 is 2311020141.

14102011320 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14102011320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2220069 + ... + 2226411.

It is an arithmetic number, because the mean of its divisors is an integer number (335724480).

Almost surely, 214102011320 is an apocalyptic number.

14102011320 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 14102011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486366720).

14102011320 is an abundant number, since it is smaller than the sum of its proper divisors (28870722120).

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

14102011320 is a wasteful number, since it uses less digits than its factorization.

14102011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 14102011320 its reverse (2311020141), we get a palindrome (16413031461).

The spelling of 14102011320 in words is "fourteen billion, one hundred two million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 191 194 291 382 388 485 573 582 764 776 955 970 1146 1164 1455 1528 1910 1940 2292 2328 2865 2910 3820 3880 4584 5730 5820 6343 7640 11460 11640 12686 18527 19029 22920 25372 31715 37054 38058 50744 55581 63430 74108 76116 92635 95145 111162 126860 148216 152232 185270 190290 222324 253720 277905 370540 380580 444648 555810 615271 741080 761160 1111620 1211513 1230542 1845813 2223240 2423026 2461084 3076355 3634539 3691626 4846052 4922168 6057565 6152710 7269078 7383252 9229065 9692104 12115130 12305420 14538156 14766504 18172695 18458130 24230260 24610840 29076312 36345390 36916260 48460520 72690780 73832520 117516761 145381560 235033522 352550283 470067044 587583805 705100566 940134088 1175167610 1410201132 1762751415 2350335220 2820402264 3525502830 4700670440 7051005660 14102011320