Search a number
-
+
424430342010 = 232543257426739
BaseRepresentation
bin1100010110100100000…
…01010000111101111010
31111120112021120022221200
412023102001100331322
523423213131421020
6522551451115030
742443531244633
oct6132201207572
91446467508850
10424430342010
11153aaa9549a4
126a310a42a76
133103cb4080c
1416784a2088a
15b091593590
hex62d2050f7a

424430342010 has 96 divisors (see below), whose sum is σ = 1133578480320. Its totient is φ = 110118887424.

The previous prime is 424430342009. The next prime is 424430342051. The reversal of 424430342010 is 10243034424.

It is a happy number.

424430342010 is a `hidden beast` number, since 4 + 24 + 430 + 3 + 4 + 201 + 0 = 666.

It is a super-2 number, since 2×4244303420102 (a number of 24 digits) contains 22 as substring.

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, 781221 + ... + 1207959.

It is an arithmetic number, because the mean of its divisors is an integer number (11808109170).

Almost surely, 2424430342010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424430342010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566789240160).

424430342010 is an abundant number, since it is smaller than the sum of its proper divisors (709148138310).

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

424430342010 is a wasteful number, since it uses less digits than its factorization.

424430342010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427052 (or 427049 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 424430342010 its reverse (10243034424), we get a palindrome (434673376434).

The spelling of 424430342010 in words is "four hundred twenty-four billion, four hundred thirty million, three hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 257 258 387 430 514 645 771 774 1285 1290 1542 1935 2313 2570 3855 3870 4626 7710 11051 11565 22102 23130 33153 55255 66306 99459 110510 165765 198918 331530 426739 497295 853478 994590 1280217 2133695 2560434 3840651 4267390 6401085 7681302 12802170 18349777 19203255 36699554 38406510 55049331 91748885 109671923 110098662 165147993 183497770 219343846 275246655 329015769 330295986 548359615 550493310 658031538 825739965 987047307 1096719230 1645078845 1651479930 1974094614 3290157690 4715892689 4935236535 9431785378 9870473070 14147678067 23579463445 28295356134 42443034201 47158926890 70738390335 84886068402 141476780670 212215171005 424430342010