Search a number
-
+
432420141324 = 2232910711612959
BaseRepresentation
bin1100100101011100011…
…11111011100100001100
31112100011002210012010210
412102232033323210030
524041044024010244
6530352344202420
743145526361323
oct6225617734414
91470132705123
10432420141324
1115742a995426
126b980769410
1331a14221912
1416d01bd10ba
15b3acc264b9
hex64ae3fb90c

432420141324 has 48 divisors (see below), whose sum is σ = 1053527731200. Its totient is φ = 137869037376.

The previous prime is 432420141319. The next prime is 432420141341. The reversal of 432420141324 is 423141024234.

It is a junction number, because it is equal to n+sod(n) for n = 432420141291 and 432420141300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5769244 + ... + 5843715.

It is an arithmetic number, because the mean of its divisors is an integer number (21948494400).

Almost surely, 2432420141324 is an apocalyptic number.

It is an amenable number.

432420141324 is an abundant number, since it is smaller than the sum of its proper divisors (621107589876).

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

432420141324 is a wasteful number, since it uses less digits than its factorization.

432420141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613102 (or 11613100 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 432420141324 its reverse (423141024234), we get a palindrome (855561165558).

The spelling of 432420141324 in words is "four hundred thirty-two billion, four hundred twenty million, one hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 1284 3103 6206 9309 12412 18618 37236 11612959 23225918 34838877 46451836 69677754 139355508 336775811 673551622 1010327433 1242586613 1347103244 2020654866 2485173226 3727759839 4041309732 4970346452 7455519678 14911039356 36035011777 72070023554 108105035331 144140047108 216210070662 432420141324