Search a number
-
+
135434443112431 = 43671372689127607
BaseRepresentation
bin11110110010110101001001…
…110111110011111111101111
3122202112101222012111011222121
4132302311021313303333233
5120222424214414044211
61200013420234053411
740345546520042221
oct3662651167637757
9582471865434877
10135434443112431
113a176474406261
1213234128b7a267
135a7554a9c8c88
1425630c2290411
15109ce623e0271
hex7b2d49df3fef

135434443112431 has 32 divisors (see below), whose sum is σ = 141732960145920. Its totient is φ = 129310113816576.

The previous prime is 135434443112351. The next prime is 135434443112453. The reversal of 135434443112431 is 134211344434531.

It is a cyclic number.

It is not a de Polignac number, because 135434443112431 - 237 = 135297004158959 is a prime.

It is a super-2 number, since 2×1354344431124312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135434443112461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061276430 + ... + 1061404036.

It is an arithmetic number, because the mean of its divisors is an integer number (4429155004560).

Almost surely, 2135434443112431 is an apocalyptic number.

135434443112431 is a deficient number, since it is larger than the sum of its proper divisors (6298517033489).

135434443112431 is a wasteful number, since it uses less digits than its factorization.

135434443112431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130543.

The product of its digits is 829440, while the sum is 43.

Adding to 135434443112431 its reverse (134211344434531), we get a palindrome (269645787546962).

The spelling of 135434443112431 in words is "one hundred thirty-five trillion, four hundred thirty-four billion, four hundred forty-three million, one hundred twelve thousand, four hundred thirty-one".

Divisors: 1 43 67 137 2689 2881 5891 9179 115627 127607 180163 368393 394697 5487101 7747009 8549669 15840899 17482159 24682331 343135223 367635767 751732837 1061340233 1171304653 14754814589 22990059941 47009525551 50366100079 988572577463 2021409598693 3149638211917 135434443112431