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14212433430 = 23251313788667
BaseRepresentation
bin11010011110010000…
…01000011000010110
31100200111012102110100
431033020020120112
5213101340332210
610310141434530
71012124455656
oct151710103026
940614172410
1014212433430
116033603658
12290786ba46
13145662a530
1498b7b4366
15582ae65c0
hex34f208616

14212433430 has 96 divisors (see below), whose sum is σ = 40085738784. Its totient is φ = 3472869888.

The previous prime is 14212433423. The next prime is 14212433461. The reversal of 14212433430 is 3433421241.

14212433430 is a `hidden beast` number, since 14 + 212 + 4 + 3 + 3 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14212433394 and 14212433403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115957 + ... + 204623.

It is an arithmetic number, because the mean of its divisors is an integer number (417559779).

Almost surely, 214212433430 is an apocalyptic number.

14212433430 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 14212433430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042869392).

14212433430 is an abundant number, since it is smaller than the sum of its proper divisors (25873305354).

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

14212433430 is a wasteful number, since it uses less digits than its factorization.

14212433430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88830 (or 88827 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14212433430 its reverse (3433421241), we get a palindrome (17645854671).

The spelling of 14212433430 in words is "fourteen billion, two hundred twelve million, four hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 137 195 234 274 390 411 585 685 822 1170 1233 1370 1781 2055 2466 3562 4110 5343 6165 8905 10686 12330 16029 17810 26715 32058 53430 80145 88667 160290 177334 266001 443335 532002 798003 886670 1152671 1330005 1596006 2305342 2660010 3458013 3990015 5763355 6916026 7980030 10374039 11526710 12147379 17290065 20748078 24294758 34580130 36442137 51870195 60736895 72884274 103740390 109326411 121473790 157915927 182210685 218652822 315831854 364421370 473747781 546632055 789579635 947495562 1093264110 1421243343 1579159270 2368738905 2842486686 4737477810 7106216715 14212433430