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432431101141 = 13196373274711
BaseRepresentation
bin1100100101011101110…
…01101111010011010101
31112100011212102000011221
412102232321233103111
524041104330214031
6530353415130341
743146021466204
oct6225671572325
91470155360157
10432431101141
111574360a0726
126b9843739b1
1331a1658b310
1416d0344523b
15b3adb8da11
hex64aee6f4d5

432431101141 has 16 divisors (see below), whose sum is σ = 490284000640. Its totient is φ = 378097657920.

The previous prime is 432431101127. The next prime is 432431101147. The reversal of 432431101141 is 141101134234.

It is a cyclic number.

It is not a de Polignac number, because 432431101141 - 213 = 432431092949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432431101147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436776 + ... + 1711486.

It is an arithmetic number, because the mean of its divisors is an integer number (30642750040).

Almost surely, 2432431101141 is an apocalyptic number.

It is an amenable number.

432431101141 is a deficient number, since it is larger than the sum of its proper divisors (57852899499).

432431101141 is a wasteful number, since it uses less digits than its factorization.

432431101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281116.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 432431101141 its reverse (141101134234), we get a palindrome (573532235375).

The spelling of 432431101141 in words is "four hundred thirty-two billion, four hundred thirty-one million, one hundred one thousand, one hundred forty-one".

Divisors: 1 13 19 247 6373 82849 121087 274711 1574131 3571243 5219509 67853617 1750733203 22759531639 33263930857 432431101141