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14443411430 = 2572329714357
BaseRepresentation
bin11010111001110010…
…01111011111100110
31101021120211022201002
431130321033133212
5214040003131210
610345112233302
71020630654140
oct153471173746
941246738632
1014443411430
116141a24868
12297109b832
13149243c9c6
149b033bc90
1559801e4a5
hex35ce4f7e6

14443411430 has 128 divisors (see below), whose sum is σ = 32532295680. Its totient is φ = 4507937280.

The previous prime is 14443411357. The next prime is 14443411439. The reversal of 14443411430 is 3411434441.

It is a super-2 number, since 2×144434114302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 14443411393 and 14443411402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443411439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3312812 + ... + 3317168.

It is an arithmetic number, because the mean of its divisors is an integer number (254158560).

Almost surely, 214443411430 is an apocalyptic number.

14443411430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14443411430 is an abundant number, since it is smaller than the sum of its proper divisors (18088884250).

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

14443411430 is a wasteful number, since it uses less digits than its factorization.

14443411430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 14443411430 its reverse (3411434441), we get a palindrome (17854845871).

The spelling of 14443411430 in words is "fourteen billion, four hundred forty-three million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 23 29 35 46 58 70 71 115 142 145 161 203 230 290 322 355 406 497 667 710 805 994 1015 1334 1610 1633 2030 2059 2485 3266 3335 4118 4357 4669 4970 6670 8165 8714 9338 10295 11431 14413 16330 20590 21785 22862 23345 28826 30499 43570 46690 47357 57155 60998 72065 94714 100211 114310 126353 144130 152495 200422 236785 252706 304990 309347 331499 473570 501055 618694 631765 662998 701477 884471 1002110 1263530 1402954 1546735 1657495 1768942 2165429 2906119 3093470 3314990 3507385 4330858 4422355 5812238 7014770 7114981 8844710 8971063 10827145 14229962 14530595 17942126 20342833 21654290 29061190 35574905 40685666 44855315 49804867 62797441 71149810 89710630 99609734 101714165 125594882 203428330 206334449 249024335 313987205 412668898 498048670 627974410 1031672245 1444341143 2063344490 2888682286 7221705715 14443411430