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134422224432 = 2437001400009
BaseRepresentation
bin111110100110000110…
…0000101111000110000
3110211222010010112002220
41331030030011320300
54200244042140212
6141430330441040
712466052024646
oct1751414057060
9424863115086
10134422224432
115200a928871
1222075893180
13c8a3119592
14671292b196
15376b1dc38c
hex1f4c305e30

134422224432 has 40 divisors (see below), whose sum is σ = 347307882480. Its totient is φ = 44800896000.

The previous prime is 134422224427. The next prime is 134422224437. The reversal of 134422224432 is 234422224431.

It is a happy number.

134422224432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134422224427) and next prime (134422224437).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134422224393 and 134422224402.

It is not an unprimeable number, because it can be changed into a prime (134422224437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136044 + ... + 536052.

It is an arithmetic number, because the mean of its divisors is an integer number (8682697062).

Almost surely, 2134422224432 is an apocalyptic number.

134422224432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134422224432 is an abundant number, since it is smaller than the sum of its proper divisors (212885658048).

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

134422224432 is a wasteful number, since it uses less digits than its factorization.

134422224432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407021 (or 407015 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

Adding to 134422224432 its reverse (234422224431), we get a palindrome (368844448863).

Subtracting 134422224432 from its reverse (234422224431), we obtain a palindrome (99999999999).

The spelling of 134422224432 in words is "one hundred thirty-four billion, four hundred twenty-two million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 7001 14002 21003 28004 42006 56008 84012 112016 168024 336048 400009 800018 1200027 1600036 2400054 3200072 4800108 6400144 9600216 19200432 2800463009 5600926018 8401389027 11201852036 16802778054 22403704072 33605556108 44807408144 67211112216 134422224432