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432441102401 = 71141136978493
BaseRepresentation
bin1100100101011110111…
…11111001000001000001
31112100012120020010022222
412102233133321001001
524041114410234101
6530354413340425
743146202502330
oct6225737710101
91470176203288
10432441102401
11157440801830
126b987797715
1331a18680619
1416d048c9d17
15b3ae9b701b
hex64af7f9041

432441102401 has 16 divisors (see below), whose sum is σ = 552297287808. Its totient is φ = 328748380800.

The previous prime is 432441102377. The next prime is 432441102407. The reversal of 432441102401 is 104201144234.

It is not a de Polignac number, because 432441102401 - 210 = 432441101377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (432441102407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68486090 + ... + 68492403.

It is an arithmetic number, because the mean of its divisors is an integer number (34518580488).

Almost surely, 2432441102401 is an apocalyptic number.

432441102401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

432441102401 is a deficient number, since it is larger than the sum of its proper divisors (119856185407).

432441102401 is a wasteful number, since it uses less digits than its factorization.

432441102401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136978552.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 432441102401 its reverse (104201144234), we get a palindrome (536642246635).

The spelling of 432441102401 in words is "four hundred thirty-two billion, four hundred forty-one million, one hundred two thousand, four hundred one".

Divisors: 1 7 11 41 77 287 451 3157 136978493 958849451 1506763423 5616118213 10547343961 39312827491 61777300343 432441102401