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432404343140 = 225711280782041
BaseRepresentation
bin1100100101011010100…
…11101010100101100100
31112100010000001120002212
412102231103222211210
524041031002440030
6530351021422552
743145245162430
oct6225523524544
91470100046085
10432404343140
11157421a84a80
126b97740aa58
1331a10b7cb93
1416cdda7b9c0
15b3ab655595
hex64ad4ea964

432404343140 has 48 divisors (see below), whose sum is σ = 1132113193344. Its totient is φ = 134775379200.

The previous prime is 432404343109. The next prime is 432404343143. The reversal of 432404343140 is 41343404234.

It is a junction number, because it is equal to n+sod(n) for n = 432404343097 and 432404343106.

It is not an unprimeable number, because it can be changed into a prime (432404343143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140389481 + ... + 140392560.

It is an arithmetic number, because the mean of its divisors is an integer number (23585691528).

Almost surely, 2432404343140 is an apocalyptic number.

It is an amenable number.

432404343140 is an abundant number, since it is smaller than the sum of its proper divisors (699708850204).

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

432404343140 is a wasteful number, since it uses less digits than its factorization.

432404343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280782068 (or 280782066 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 432404343140 its reverse (41343404234), we get a palindrome (473747747374).

The spelling of 432404343140 in words is "four hundred thirty-two billion, four hundred four million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 280782041 561564082 1123128164 1403910205 1965474287 2807820410 3088602451 3930948574 5615640820 6177204902 7861897148 9827371435 12354409804 15443012255 19654742870 21620217157 30886024510 39309485740 43240434314 61772049020 86480868628 108101085785 216202171570 432404343140