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2133440104302 = 2321347926337229
BaseRepresentation
bin11111000010111010111…
…100001000011101101110
321112221210002221111112100
4133002322330020131232
5234423241131314202
64312031105315530
7310064430451023
oct37027274103556
97487702844470
102133440104302
11752872358221
122a5584935ba6
1312624b063b80
147538aba554a
153a767d6b41c
hex1f0baf0876e

2133440104302 has 96 divisors (see below), whose sum is σ = 4991004345600. Its totient is φ = 654733287936.

The previous prime is 2133440104247. The next prime is 2133440104331. The reversal of 2133440104302 is 2034010443312.

2133440104302 is a `hidden beast` number, since 2 + 1 + 3 + 344 + 0 + 10 + 4 + 302 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295118824 + ... + 295126052.

It is an arithmetic number, because the mean of its divisors is an integer number (51989628600).

Almost surely, 22133440104302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133440104302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495502172800).

2133440104302 is an abundant number, since it is smaller than the sum of its proper divisors (2857564241298).

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

2133440104302 is a wasteful number, since it uses less digits than its factorization.

2133440104302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2133440104302 its reverse (2034010443312), we get a palindrome (4167450547614).

The spelling of 2133440104302 in words is "two trillion, one hundred thirty-three billion, four hundred forty million, one hundred four thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 479 958 1437 2633 2874 4311 5266 6227 7229 7899 8622 12454 14458 15798 18681 21687 23697 34229 37362 43374 47394 56043 65061 68458 93977 102687 112086 130122 187954 205374 281931 308061 563862 616122 845793 1261207 1691586 2522414 3462691 3783621 6925382 7567242 10388073 11350863 16395691 19033957 20776146 22701726 31164219 32791382 38067914 45014983 49187073 57101871 62328438 90029966 98374146 114203742 135044949 147561219 171305613 247441441 270089898 295122438 342611226 405134847 494882882 742324323 810269694 1484648646 2226972969 4453945938 9117265403 18234530806 27351796209 54703592418 82055388627 118524450239 164110777254 237048900478 355573350717 711146701434 1066720052151 2133440104302