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14052523500 = 22325319164357
BaseRepresentation
bin11010001011001100…
…00111110111101100
31100021100022011021100
431011212013313230
5212234421223000
610242230203100
71005143323161
oct150546076754
940240264240
1014052523500
115a61312994
1228821b3490
13142c46ba82
1497446a068
15573a5aa00
hex345987dec

14052523500 has 144 divisors (see below), whose sum is σ = 46664523360. Its totient is φ = 3550089600.

The previous prime is 14052523487. The next prime is 14052523517. The reversal of 14052523500 is 532525041.

It is a happy number.

14052523500 is a `hidden beast` number, since 1 + 40 + 52 + 523 + 50 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3322 + ... + 167678.

It is an arithmetic number, because the mean of its divisors is an integer number (324059190).

Almost surely, 214052523500 is an apocalyptic number.

14052523500 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 14052523500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23332261680).

14052523500 is an abundant number, since it is smaller than the sum of its proper divisors (32611999860).

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

14052523500 is a wasteful number, since it uses less digits than its factorization.

14052523500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164401 (or 164386 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

It can be divided in two parts, 140525 and 23500, that added together give a square (164025 = 4052).

The spelling of 14052523500 in words is "fourteen billion, fifty-two million, five hundred twenty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 125 150 171 180 190 225 228 250 285 300 342 375 380 450 475 500 570 684 750 855 900 950 1125 1140 1425 1500 1710 1900 2250 2375 2850 3420 4275 4500 4750 5700 7125 8550 9500 14250 17100 21375 28500 42750 85500 164357 328714 493071 657428 821785 986142 1479213 1643570 1972284 2465355 2958426 3122783 3287140 4108925 4930710 5916852 6245566 7396065 8217850 9368349 9861420 12326775 12491132 14792130 15613915 16435700 18736698 20544625 24653550 28105047 29584260 31227830 36980325 37473396 41089250 46841745 49307100 56210094 61633875 62455660 73960650 78069575 82178500 93683490 112420188 123267750 140525235 147921300 156139150 184901625 187366980 234208725 246535500 281050470 312278300 369803250 390347875 468417450 562100940 702626175 739606500 780695750 936834900 1171043625 1405252350 1561391500 2342087250 2810504700 3513130875 4684174500 7026261750 14052523500