Search a number
-
+
133140330114 = 231129273125471
BaseRepresentation
bin111101111111111001…
…0000011011010000010
3110201122210000112200120
41323333302003122002
54140132411030424
6141055215201110
712422225063511
oct1737762033202
9421583015616
10133140330114
1151512277680
1221978516196
13c72a68072c
1466305a0678
1536e38c6a79
hex1effc83682

133140330114 has 64 divisors (see below), whose sum is σ = 300626657280. Its totient is φ = 38938536000.

The previous prime is 133140330109. The next prime is 133140330149. The reversal of 133140330114 is 411033041331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5214399 + ... + 5239869.

It is an arithmetic number, because the mean of its divisors is an integer number (4697291520).

Almost surely, 2133140330114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133140330114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150313328640).

133140330114 is an abundant number, since it is smaller than the sum of its proper divisors (167486327166).

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

133140330114 is a wasteful number, since it uses less digits than its factorization.

133140330114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28247.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133140330114 its reverse (411033041331), we get a palindrome (544173371445).

The spelling of 133140330114 in words is "one hundred thirty-three billion, one hundred forty million, three hundred thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 2731 5462 8193 16386 25471 30041 50942 60082 76413 79199 90123 152826 158398 180246 237597 280181 475194 560362 738659 840543 871189 1477318 1681086 1742378 2215977 2613567 4431954 5227134 8125249 16250498 24375747 48751494 69561301 139122602 208683903 417367806 765174311 1530348622 2017277729 2295522933 4034555458 4591045866 6051833187 12103666374 22190055019 44380110038 66570165057 133140330114