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432414023031 = 32233076804419
BaseRepresentation
bin1100100101011011110…
…00100101110101110111
31112100010200021100102100
412102231320211311313
524041040442214111
6530352005113143
743145423356614
oct6225570456567
91470120240370
10432414023031
11157427496691
126b97a6b87b3
1331a12b8bb23
1416d0107b50b
15b3ac418756
hex64ade25d77

432414023031 has 24 divisors (see below), whose sum is σ = 653877544320. Its totient is φ = 274844051856.

The previous prime is 432414022987. The next prime is 432414023033. The reversal of 432414023031 is 130320414234.

It is not a de Polignac number, because 432414023031 - 221 = 432411925879 is a prime.

It is a super-2 number, since 2×4324140230312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432414022986 and 432414023004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432414023033) 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 23 ways as a sum of consecutive naturals, for example, 3338661 + ... + 3465758.

It is an arithmetic number, because the mean of its divisors is an integer number (27244897680).

Almost surely, 2432414023031 is an apocalyptic number.

432414023031 is a deficient number, since it is larger than the sum of its proper divisors (221463521289).

432414023031 is a wasteful number, since it uses less digits than its factorization.

432414023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804755 (or 6804752 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 432414023031 its reverse (130320414234), we get a palindrome (562734437265).

The spelling of 432414023031 in words is "four hundred thirty-two billion, four hundred fourteen million, twenty-three thousand, thirty-one".

Divisors: 1 3 9 23 69 207 307 921 2763 7061 21183 63549 6804419 20413257 61239771 156501637 469504911 1408514733 2088956633 6266869899 18800609697 48046002559 144138007677 432414023031