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14305052000 = 255310334721
BaseRepresentation
bin11010101001010010…
…11100010101100000
31100220221110221020202
431110221130111200
5213244043131000
610323250524332
71014330635651
oct152451342540
940827427222
1014305052000
116080913328
1229328966a8
13146c888315
14999c03528
1558acdddd5
hex354a5c560

14305052000 has 96 divisors (see below), whose sum is σ = 35489772864. Its totient is φ = 5666304000.

The previous prime is 14305051997. The next prime is 14305052029. The reversal of 14305052000 is 25050341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394640 + ... + 429360.

It is an arithmetic number, because the mean of its divisors is an integer number (369685134).

Almost surely, 214305052000 is an apocalyptic number.

14305052000 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 14305052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744886432).

14305052000 is an abundant number, since it is smaller than the sum of its proper divisors (21184720864).

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

14305052000 is a wasteful number, since it uses less digits than its factorization.

14305052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34849 (or 34831 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 14305052000 in words is "fourteen billion, three hundred five million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 800 824 1000 1030 1648 2000 2060 2575 3296 4000 4120 5150 8240 10300 12875 16480 20600 25750 34721 41200 51500 69442 82400 103000 138884 173605 206000 277768 347210 412000 555536 694420 868025 1111072 1388840 1736050 2777680 3472100 3576263 4340125 5555360 6944200 7152526 8680250 13888400 14305052 17360500 17881315 27776800 28610104 34721000 35762630 57220208 69442000 71525260 89406575 114440416 138884000 143050520 178813150 286101040 357626300 447032875 572202080 715252600 894065750 1430505200 1788131500 2861010400 3576263000 7152526000 14305052000