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4323144320 = 275114314281
BaseRepresentation
bin1000000011010110…
…11111001010000000
3102011021202111010022
410001223133022000
532323211104240
61552551553012
7212063056205
oct40153371200
912137674108
104323144320
111919336350
12a0798b768
1353b863b81
142d022dcac
151a48069b5
hex101adf280

4323144320 has 128 divisors (see below), whose sum is σ = 11537570880. Its totient is φ = 1535385600.

The previous prime is 4323144299. The next prime is 4323144337. The reversal of 4323144320 is 234413234.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4323144320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295580 + ... + 309860.

Almost surely, 24323144320 is an apocalyptic number.

4323144320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4323144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768785440).

4323144320 is an abundant number, since it is smaller than the sum of its proper divisors (7214426560).

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

4323144320 is a wasteful number, since it uses less digits than its factorization.

4323144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354 (or 14342 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 4323144320 is about 65750.6222023792. The cubic root of 4323144320 is about 1629.0456129060.

Adding to 4323144320 its reverse (234413234), we get a palindrome (4557557554).

It can be divided in two parts, 432314 and 4320, that added together give a palindrome (436634).

The spelling of 4323144320 in words is "four billion, three hundred twenty-three million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 320 344 352 430 440 473 640 688 704 860 880 946 1376 1408 1720 1760 1892 2365 2752 3440 3520 3784 4730 5504 6880 7040 7568 9460 13760 14281 15136 18920 27520 28562 30272 37840 57124 60544 71405 75680 114248 142810 151360 157091 228496 285620 302720 314182 456992 571240 614083 628364 785455 913984 1142480 1228166 1256728 1570910 1827968 2284960 2456332 2513456 3070415 3141820 4569920 4912664 5026912 6140830 6283640 6754913 9139840 9825328 10053824 12281660 12567280 13509826 19650656 20107648 24563320 25134560 27019652 33774565 39301312 49126640 50269120 54039304 67549130 78602624 98253280 100538240 108078608 135098260 196506560 216157216 270196520 393013120 432314432 540393040 864628864 1080786080 2161572160 4323144320