Search a number
-
+
133142334 = 231317314179
BaseRepresentation
bin1111110111110…
…01011100111110
3100021112022221120
413323321130332
5233041023314
621113411410
73204456033
oct773713476
9307468846
10133142334
1169178896
1238709b66
1321778b60
141397b38a
15ba4e8a9
hex7ef973e

133142334 has 128 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 35942400.

The previous prime is 133142327. The next prime is 133142389. The reversal of 133142334 is 433241331.

It is a super-2 number, since 2×1331423342 = 35453762205935112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1685307 + ... + 1685385.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2133142334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133142334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

133142334 is an abundant number, since it is smaller than the sum of its proper divisors (191998146).

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

133142334 is a wasteful number, since it uses less digits than its factorization.

133142334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186.

The product of its digits is 2592, while the sum is 24.

The square root of 133142334 is about 11538.7319060632. The cubic root of 133142334 is about 510.6288973703.

Adding to 133142334 its reverse (433241331), we get a palindrome (566383665).

The spelling of 133142334 in words is "one hundred thirty-three million, one hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 31 34 39 41 51 62 78 79 82 93 102 123 158 186 221 237 246 403 442 474 527 533 663 697 806 1027 1054 1066 1209 1271 1326 1343 1394 1581 1599 2054 2091 2418 2449 2542 2686 3081 3162 3198 3239 3813 4029 4182 4898 6162 6478 6851 7347 7626 8058 9061 9717 13702 14694 16523 17459 18122 19434 20553 21607 27183 31837 33046 34918 41106 41633 42107 43214 49569 52377 54366 55063 63674 64821 83266 84214 95511 99138 100409 104754 110126 124899 126321 129642 165189 191022 200818 249798 252642 280891 301227 330378 541229 561782 602454 715819 842673 1082458 1305317 1431638 1623687 1685346 1706953 2147457 2610634 3247374 3413906 3915951 4294914 5120859 7831902 10241718 22190389 44380778 66571167 133142334