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432441421104 = 243711117002549
BaseRepresentation
bin1100100101011111000…
…01000110110100110000
31112100012120211022111210
412102233201012310300
524041120000433404
6530354424240120
743146205300440
oct6225741066460
91470176738453
10432441421104
111574409aa220
126b987910040
1331a187626c4
1416d04970120
15b3aea2b689
hex64af846d30

432441421104 has 80 divisors (see below), whose sum is σ = 1392798355200. Its totient is φ = 112322446080.

The previous prime is 432441421079. The next prime is 432441421117. The reversal of 432441421104 is 401124144234.

It is a happy number.

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, 58497579 + ... + 58504970.

It is an arithmetic number, because the mean of its divisors is an integer number (17409979440).

Almost surely, 2432441421104 is an apocalyptic number.

432441421104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

432441421104 is an abundant number, since it is smaller than the sum of its proper divisors (960356934096).

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

432441421104 is a wasteful number, since it uses less digits than its factorization.

432441421104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117002578 (or 117002572 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 432441421104 its reverse (401124144234), we get a palindrome (833565565338).

The spelling of 432441421104 in words is "four hundred thirty-two billion, four hundred forty-one million, four hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 117002549 234005098 351007647 468010196 702015294 819017843 936020392 1287028039 1404030588 1638035686 1872040784 2457053529 2574056078 2808061176 3276071372 3861084117 4914107058 5148112156 5616122352 6552142744 7722168234 9009196273 9828214116 10296224312 13104285488 15444336468 18018392546 19656428232 20592448624 27027588819 30888672936 36036785092 39312856464 54055177638 61777345872 72073570184 108110355276 144147140368 216220710552 432441421104