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4424168430 = 2335111978401
BaseRepresentation
bin1000001111011001…
…10111001111101110
3102102022212001011000
410013230313033232
533030041342210
62011001141130
7214430545143
oct40754671756
912368761130
104424168430
111970367250
12a3578a7a6
13556775856
142dd80a3ca
151ad60eac0
hex107b373ee

4424168430 has 128 divisors (see below), whose sum is σ = 13547865600. Its totient is φ = 1016064000.

The previous prime is 4424168423. The next prime is 4424168461. The reversal of 4424168430 is 348614244.

4424168430 is a `hidden beast` number, since 44 + 24 + 168 + 430 = 666.

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, 17230 + ... + 95630.

It is an arithmetic number, because the mean of its divisors is an integer number (105842700).

Almost surely, 24424168430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424168430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773932800).

4424168430 is an abundant number, since it is smaller than the sum of its proper divisors (9123697170).

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

4424168430 is a wasteful number, since it uses less digits than its factorization.

4424168430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78447 (or 78441 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4424168430 is about 66514.4227216925. The cubic root of 4424168430 is about 1641.6373235098.

The spelling of 4424168430 in words is "four billion, four hundred twenty-four million, one hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 90 95 99 110 114 135 165 171 190 198 209 270 285 297 330 342 418 495 513 570 594 627 855 990 1026 1045 1254 1485 1710 1881 2090 2565 2970 3135 3762 5130 5643 6270 9405 11286 18810 28215 56430 78401 156802 235203 392005 470406 705609 784010 862411 1176015 1411218 1489619 1724822 2116827 2352030 2587233 2979238 3528045 4233654 4312055 4468857 5174466 7056090 7448095 7761699 8624110 8937714 10584135 12936165 13406571 14896190 15523398 16385809 21168270 22344285 23285097 25872330 26813142 32771618 38808495 40219713 44688570 46570194 49157427 67032855 77616990 80439426 81929045 98314854 116425485 134065710 147472281 163858090 201098565 232850970 245787135 294944562 402197130 442416843 491574270 737361405 884833686 1474722810 2212084215 4424168430