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14212230312 = 2337434434441
BaseRepresentation
bin11010011110001110…
…10110110010101000
31100200110211002211110
431033013112302220
5213101312332222
610310133230320
71012122651540
oct151707266250
940613732743
1014212230312
116033484a95
1229077923a0
131456588c47
1498b760320
15582aa630c
hex34f1d6ca8

14212230312 has 128 divisors (see below), whose sum is σ = 41653877760. Its totient is φ = 3956359680.

The previous prime is 14212230287. The next prime is 14212230341. The reversal of 14212230312 is 21303221241.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3198012 + ... + 3202452.

It is an arithmetic number, because the mean of its divisors is an integer number (325420920).

Almost surely, 214212230312 is an apocalyptic number.

14212230312 is a gapful number since it is divisible by the number (12) 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 14212230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826938880).

14212230312 is an abundant number, since it is smaller than the sum of its proper divisors (27441647448).

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

14212230312 is a wasteful number, since it uses less digits than its factorization.

14212230312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 14212230312 its reverse (21303221241), we get a palindrome (35515451553).

The spelling of 14212230312 in words is "fourteen billion, two hundred twelve million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 443 516 602 886 903 1032 1204 1329 1772 1806 2408 2658 3101 3544 3612 4441 5316 6202 7224 8882 9303 10632 12404 13323 17764 18606 19049 24808 26646 31087 35528 37212 38098 53292 57147 62174 74424 76196 93261 106584 114294 124348 133343 152392 186522 190963 228588 248696 266686 373044 381926 400029 457176 533372 572889 746088 763852 800058 1066744 1145778 1336741 1527704 1600116 1967363 2291556 2673482 3200232 3934726 4010223 4583112 5346964 5902089 7869452 8020446 10693928 11804178 13771541 15738904 16040892 23608356 27543082 32081784 41314623 47216712 55086164 82629246 84596609 110172328 165258492 169193218 253789827 330516984 338386436 507579654 592176263 676772872 1015159308 1184352526 1776528789 2030318616 2368705052 3553057578 4737410104 7106115156 14212230312