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242032404324 = 223197318180341
BaseRepresentation
bin1110000101101001000…
…0010110011101100100
3212010201122200001121010
43201122100112131210
512431140243414244
6303104350222220
723325534330564
oct3413220263544
9763648601533
10242032404324
1193710a89737
123aaa81b4970
1319a92483239
14ba00580da4
1564685beeb9
hex385a416764

242032404324 has 96 divisors (see below), whose sum is σ = 605945791360. Its totient is φ = 74966860800.

The previous prime is 242032404287. The next prime is 242032404329. The reversal of 242032404324 is 423404230242.

It is a junction number, because it is equal to n+sod(n) for n = 242032404291 and 242032404300.

It is not an unprimeable number, because it can be changed into a prime (242032404329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2972394 + ... + 3052734.

Almost surely, 2242032404324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242032404324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302972895680).

242032404324 is an abundant number, since it is smaller than the sum of its proper divisors (363913387036).

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

242032404324 is a wasteful number, since it uses less digits than its factorization.

242032404324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80621 (or 80619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 242032404324 its reverse (423404230242), we get a palindrome (665436634566).

The spelling of 242032404324 in words is "two hundred forty-two billion, thirty-two million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 181 219 228 292 362 438 543 724 876 1086 1387 2172 2774 3439 4161 5548 6878 8322 10317 13213 13756 16644 20634 26426 39639 41268 52852 79278 80341 158556 160682 241023 251047 321364 482046 502094 753141 964092 1004188 1506282 1526479 3012564 3052958 4579437 5864893 6105916 9158874 11729786 14541721 17594679 18317748 23459572 29083442 35189358 43625163 58166884 70378716 87250326 111432967 174500652 222865934 276292699 334298901 445731868 552585398 668597802 828878097 1061545633 1105170796 1337195604 1657756194 2123091266 3184636899 3315512388 4246182532 6369273798 12738547596 20169367027 40338734054 60508101081 80677468108 121016202162 242032404324