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423410311530 = 233529157134421
BaseRepresentation
bin1100010100101010011…
…10001010000101101010
31111110220012012102012000
412022111032022011222
523414121014432110
6522302332231430
742406334160063
oct6122516120552
91443805172160
10423410311530
1115362709a9a8
126a08730b576
1330c0970c39b
14166c937b56a
15b031c571c0
hex629538a16a

423410311530 has 128 divisors (see below), whose sum is σ = 1168805894400. Its totient is φ = 108943430400.

The previous prime is 423410311439. The next prime is 423410311561. The reversal of 423410311530 is 35113014324.

It is a happy number.

423410311530 is a `hidden beast` number, since 4 + 2 + 341 + 0 + 311 + 5 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 423410311494 and 423410311503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12283720 + ... + 12318140.

It is an arithmetic number, because the mean of its divisors is an integer number (9131296050).

Almost surely, 2423410311530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423410311530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584402947200).

423410311530 is an abundant number, since it is smaller than the sum of its proper divisors (745395582870).

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

423410311530 is a wasteful number, since it uses less digits than its factorization.

423410311530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36037 (or 36031 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 423410311530 its reverse (35113014324), we get a palindrome (458523325854).

The spelling of 423410311530 in words is "four hundred twenty-three billion, four hundred ten million, three hundred eleven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 1571 2610 3142 3915 4713 7830 7855 9426 14139 15710 23565 28278 34421 42417 45559 47130 68842 70695 84834 91118 103263 136677 141390 172105 206526 212085 227795 273354 309789 344210 410031 424170 455590 516315 619578 683385 820062 929367 998209 1032630 1230093 1366770 1548945 1858734 1996418 2050155 2460186 2994627 3097890 4100310 4646835 4991045 5989254 6150465 8983881 9293670 9982090 12300930 14973135 17967762 26951643 29946270 44919405 53903286 54075391 89838810 108150782 134758215 162226173 269516430 270376955 324452346 486678519 540753910 811130865 973357038 1460035557 1568186339 1622261730 2433392595 2920071114 3136372678 4704559017 4866785190 7300177785 7840931695 9409118034 14113677051 14600355570 15681863390 23522795085 28227354102 42341031153 47045590170 70568385255 84682062306 141136770510 211705155765 423410311530