Search a number
-
+
33042430140 = 2235718987151
BaseRepresentation
bin11110110001011110…
…110111100010111100
310011021210011100220220
4132301132313202330
51020132330231030
623102433541340
72246552010366
oct366136674274
9104253140826
1033042430140
1113016654905
1264a1a14850
1331677b4315
141856537d36
15cd5c9ea10
hex7b17b78bc

33042430140 has 96 divisors (see below), whose sum is σ = 94877153280. Its totient is φ = 8589504000.

The previous prime is 33042430139. The next prime is 33042430153. The reversal of 33042430140 is 4103424033.

It is a self number, because there is not a number n which added to its sum of digits gives 33042430140.

It is a congruent number.

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, 335565 + ... + 422715.

It is an arithmetic number, because the mean of its divisors is an integer number (988303680).

Almost surely, 233042430140 is an apocalyptic number.

33042430140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33042430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47438576640).

33042430140 is an abundant number, since it is smaller than the sum of its proper divisors (61834723140).

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

33042430140 is a wasteful number, since it uses less digits than its factorization.

33042430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87323 (or 87321 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 33042430140 its reverse (4103424033), we get a palindrome (37145854173).

The spelling of 33042430140 in words is "thirty-three billion, forty-two million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 89 142 178 213 267 284 355 356 426 445 534 710 852 890 1065 1068 1335 1420 1780 2130 2670 4260 5340 6319 12638 18957 25276 31595 37914 63190 75828 87151 94785 126380 174302 189570 261453 348604 379140 435755 522906 871510 1045812 1307265 1743020 2614530 5229060 6187721 7756439 12375442 15512878 18563163 23269317 24750884 30938605 31025756 37126326 38782195 46538634 61877210 74252652 77564390 92815815 93077268 116346585 123754420 155128780 185631630 232693170 371263260 465386340 550707169 1101414338 1652121507 2202828676 2753535845 3304243014 5507071690 6608486028 8260607535 11014143380 16521215070 33042430140