Search a number
-
+
33114100304 = 2431211397797
BaseRepresentation
bin11110110101110000…
…010001001001010000
310011110210000120220102
4132311300101021100
51020304202202204
623113514031532
72251412131325
oct366560211120
9104423016812
1033114100304
111305305674a
126501a185a8
1331795b90bc
141861c72b4c
15cdc20a41e
hex7b5c11250

33114100304 has 80 divisors (see below), whose sum is σ = 66793391616. Its totient is φ = 15886886400.

The previous prime is 33114100297. The next prime is 33114100321. The reversal of 33114100304 is 40300141133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41548034 + ... + 41548830.

Almost surely, 233114100304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33114100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33396695808).

33114100304 is an abundant number, since it is smaller than the sum of its proper divisors (33679291312).

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

33114100304 is a wasteful number, since it uses less digits than its factorization.

33114100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 33114100304 its reverse (40300141133), we get a palindrome (73414241437).

The spelling of 33114100304 in words is "thirty-three billion, one hundred fourteen million, one hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 31 62 124 211 248 397 422 496 794 797 844 1588 1594 1688 3176 3188 3376 6352 6376 6541 12307 12752 13082 24614 24707 26164 49228 49414 52328 83767 98456 98828 104656 167534 168167 196912 197656 316409 335068 336334 395312 632818 670136 672668 1265636 1340272 1345336 2531272 2596777 2690672 5062544 5193554 5213177 9808679 10387108 10426354 19617358 20774216 20852708 39234716 41548432 41705416 66762299 78469432 83410832 133524598 156938864 267049196 534098392 1068196784 2069631269 4139262538 8278525076 16557050152 33114100304