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14455413750 = 235419238821
BaseRepresentation
bin11010111011001110…
…00001101111110110
31101022102102002210110
431131213001233312
5214101041220000
610350221403450
71021134663261
oct153547015766
941272362713
1014455413750
116148782338
122975109586
131494a82a7b
149b1b83cd8
155990e0850
hex35d9c1bf6

14455413750 has 160 divisors (see below), whose sum is σ = 39686296320. Its totient is φ = 3492720000.

The previous prime is 14455413737. The next prime is 14455413757. The reversal of 14455413750 is 5731455441.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14455413699 and 14455413708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14455413757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1634340 + ... + 1643160.

It is an arithmetic number, because the mean of its divisors is an integer number (248039352).

Almost surely, 214455413750 is an apocalyptic number.

14455413750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14455413750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843148160).

14455413750 is an abundant number, since it is smaller than the sum of its proper divisors (25230882570).

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

14455413750 is a wasteful number, since it uses less digits than its factorization.

14455413750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 14455413750 in words is "fourteen billion, four hundred fifty-five million, four hundred thirteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 23 25 30 38 46 50 57 69 75 95 114 115 125 138 150 190 230 250 285 345 375 437 475 570 575 625 690 750 874 950 1150 1250 1311 1425 1725 1875 2185 2375 2622 2850 2875 3450 3750 4370 4750 5750 6555 7125 8625 8821 10925 11875 13110 14250 14375 17250 17642 21850 23750 26463 28750 32775 35625 43125 44105 52926 54625 65550 71250 86250 88210 109250 132315 163875 167599 202883 220525 264630 273125 327750 335198 405766 441050 502797 546250 608649 661575 819375 837995 1005594 1014415 1102625 1217298 1323150 1638750 1675990 2028830 2205250 2513985 3043245 3307875 3854777 4189975 5027970 5072075 5513125 6086490 6615750 7709554 8379950 10144150 11026250 11564331 12569925 15216225 16539375 19273885 20949875 23128662 25139850 25360375 30432450 33078750 38547770 41899750 50720750 57821655 62849625 76081125 96369425 104749375 115643310 125699250 126801875 152162250 192738850 209498750 253603750 289108275 314248125 380405625 481847125 578216550 628496250 760811250 963694250 1445541375 2409235625 2891082750 4818471250 7227706875 14455413750