Search a number
-
+
133114044 = 22374138651
BaseRepresentation
bin1111110111100…
…10100010111100
3100021110220010210
413323302202330
5233034122134
621113032420
73204310410
oct773624274
9307426123
10133114044
1169159608
12386b5710
132176900b
1413970d40
15ba462e9
hex7ef28bc

133114044 has 48 divisors (see below), whose sum is σ = 363638016. Its totient is φ = 37104000.

The previous prime is 133114043. The next prime is 133114073. The reversal of 133114044 is 440411331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 133114044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133114043) 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 15 ways as a sum of consecutive naturals, for example, 15882 + ... + 22769.

It is an arithmetic number, because the mean of its divisors is an integer number (7575792).

Almost surely, 2133114044 is an apocalyptic number.

133114044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133114044 is an abundant number, since it is smaller than the sum of its proper divisors (230523972).

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

133114044 is a wasteful number, since it uses less digits than its factorization.

133114044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38706 (or 38704 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 133114044 is about 11537.5059696626. The cubic root of 133114044 is about 510.5927287721.

Adding to 133114044 its reverse (440411331), we get a palindrome (573525375).

The spelling of 133114044 in words is "one hundred thirty-three million, one hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 38651 77302 115953 154604 231906 270557 463812 541114 811671 1082228 1584691 1623342 3169382 3246684 4754073 6338764 9508146 11092837 19016292 22185674 33278511 44371348 66557022 133114044