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432414414101 = 4716493557831
BaseRepresentation
bin1100100101011011110…
…10000101010100010101
31112100010201000012212102
412102231322011110111
524041041042222401
6530352021331445
743145426606015
oct6225572052425
91470121005772
10432414414101
1115742773348a
126b97a866b85
1331a12c97b27
1416d0113dc45
15b3ac49456b
hex64ade85515

432414414101 has 8 divisors (see below), whose sum is σ = 441642288384. Its totient is φ = 423187688560.

The previous prime is 432414414073. The next prime is 432414414151. The reversal of 432414414101 is 101414414234.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 432414414101 - 210 = 432414413077 is a prime.

It is a super-2 number, since 2×4324144141012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432414414151) 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 7 ways as a sum of consecutive naturals, for example, 496256 + ... + 1054086.

It is an arithmetic number, because the mean of its divisors is an integer number (55205286048).

Almost surely, 2432414414101 is an apocalyptic number.

It is an amenable number.

432414414101 is a deficient number, since it is larger than the sum of its proper divisors (9227874283).

432414414101 is a wasteful number, since it uses less digits than its factorization.

432414414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574371.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 432414414101 its reverse (101414414234), we get a palindrome (533828828335).

The spelling of 432414414101 in words is "four hundred thirty-two billion, four hundred fourteen million, four hundred fourteen thousand, one hundred one".

Divisors: 1 47 16493 557831 775171 26218057 9200306683 432414414101