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14035241430 = 23257179124459
BaseRepresentation
bin11010001001001000…
…01100100111010110
31100020010210010201200
431010210030213112
5212221010211210
610240411533330
71004543404140
oct150444144726
940203703650
1014035241430
115a52589691
12287845a246
1314289ca7b2
1497204bc90
155722950c0
hex34490c9d6

14035241430 has 96 divisors (see below), whose sum is σ = 41938041600. Its totient is φ = 3190107456.

The previous prime is 14035241419. The next prime is 14035241443. The reversal of 14035241430 is 3414253041.

It is a happy number.

14035241430 is a `hidden beast` number, since 140 + 3 + 52 + 41 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14035241394 and 14035241403.

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, 50541 + ... + 174999.

It is an arithmetic number, because the mean of its divisors is an integer number (436854600).

Almost surely, 214035241430 is an apocalyptic number.

14035241430 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 14035241430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20969020800).

14035241430 is an abundant number, since it is smaller than the sum of its proper divisors (27902800170).

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

14035241430 is a wasteful number, since it uses less digits than its factorization.

14035241430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124658 (or 124655 counting only the distinct ones).

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

Adding to 14035241430 its reverse (3414253041), we get a palindrome (17449494471).

The spelling of 14035241430 in words is "fourteen billion, thirty-five million, two hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 179 210 315 358 537 630 895 1074 1253 1611 1790 2506 2685 3222 3759 5370 6265 7518 8055 11277 12530 16110 18795 22554 37590 56385 112770 124459 248918 373377 622295 746754 871213 1120131 1244590 1742426 1866885 2240262 2613639 3733770 4356065 5227278 5600655 7840917 8712130 11201310 13068195 15681834 22278161 26136390 39204585 44556322 66834483 78409170 111390805 133668966 155947127 200503449 222781610 311894254 334172415 401006898 467841381 668344830 779735635 935682762 1002517245 1403524143 1559471270 2005034490 2339206905 2807048286 4678413810 7017620715 14035241430