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14123021000 = 23531110911779
BaseRepresentation
bin11010010011100110…
…00011001011001000
31100110020221210122212
431021303003023020
5212410443133000
610253225204252
71006660461224
oct151163031310
940406853585
1014123021000
115a98093790
1228a1930688
131440c52b7a
1497d97b784
15579d33c35
hex349cc32c8

14123021000 has 128 divisors (see below), whose sum is σ = 36386064000. Its totient is φ = 5088096000.

The previous prime is 14123020999. The next prime is 14123021009. The reversal of 14123021000 is 12032141.

It is not an unprimeable number, because it can be changed into a prime (14123021009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193111 + ... + 1204889.

It is an arithmetic number, because the mean of its divisors is an integer number (284266125).

Almost surely, 214123021000 is an apocalyptic number.

14123021000 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 14123021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18193032000).

14123021000 is an abundant number, since it is smaller than the sum of its proper divisors (22263043000).

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

14123021000 is a wasteful number, since it uses less digits than its factorization.

14123021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11906 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 14123021000 its reverse (12032141), we get a palindrome (14135053141).

The spelling of 14123021000 in words is "fourteen billion, one hundred twenty-three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 109 110 125 200 218 220 250 275 436 440 500 545 550 872 1000 1090 1100 1199 1375 2180 2200 2398 2725 2750 4360 4796 5450 5500 5995 9592 10900 11000 11779 11990 13625 21800 23558 23980 27250 29975 47116 47960 54500 58895 59950 94232 109000 117790 119900 129569 149875 235580 239800 259138 294475 299750 471160 518276 588950 599500 647845 1036552 1177900 1199000 1283911 1295690 1472375 2355800 2567822 2591380 2944750 3239225 5135644 5182760 5889500 6419555 6478450 10271288 11779000 12839110 12956900 14123021 16196125 25678220 25913800 28246042 32097775 32392250 51356440 56492084 64195550 64784500 70615105 112984168 128391100 129569000 141230210 160488875 256782200 282460420 320977750 353075525 564920840 641955500 706151050 1283911000 1412302100 1765377625 2824604200 3530755250 7061510500 14123021000