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14212235430 = 2335716431153
BaseRepresentation
bin11010011110001110…
…11000000010100110
31100200110211100212000
431033013120002212
5213101313013210
610310133310130
71012123002501
oct151707300246
940613740760
1014212235430
116033488918
122907795346
13145658b383
1498b762138
15582aa7ac0
hex34f1d80a6

14212235430 has 128 divisors (see below), whose sum is σ = 38526243840. Its totient is φ = 3727503360.

The previous prime is 14212235423. The next prime is 14212235447. The reversal of 14212235430 is 3453221241.

14212235430 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 223 + 5 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14212235394 and 14212235403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12325734 + ... + 12326886.

It is an arithmetic number, because the mean of its divisors is an integer number (300986280).

Almost surely, 214212235430 is an apocalyptic number.

14212235430 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 14212235430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19263121920).

14212235430 is an abundant number, since it is smaller than the sum of its proper divisors (24314008410).

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

14212235430 is a wasteful number, since it uses less digits than its factorization.

14212235430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14212235430 its reverse (3453221241), we get a palindrome (17665456671).

The spelling of 14212235430 in words is "fourteen billion, two hundred twelve million, two hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 643 710 1065 1153 1278 1286 1917 1929 2130 2306 3195 3215 3459 3834 3858 5765 5787 6390 6430 6918 9585 9645 10377 11530 11574 17295 17361 19170 19290 20754 28935 31131 34590 34722 45653 51885 57870 62262 81863 86805 91306 103770 136959 155655 163726 173610 228265 245589 273918 311310 409315 410877 456530 491178 684795 736767 741379 818630 821754 1227945 1232631 1369590 1473534 1482758 2054385 2210301 2224137 2455890 2465262 3683835 3706895 4108770 4420602 4448274 6163155 6672411 7367670 7413790 11051505 11120685 12326310 13344822 20017233 22103010 22241370 33362055 40034466 52637909 66724110 100086165 105275818 157913727 200172330 263189545 315827454 473741181 526379090 789568635 947482362 1421223543 1579137270 2368705905 2842447086 4737411810 7106117715 14212235430