Search a number
-
+
33133033440030 = 23541113238384297
BaseRepresentation
bin1111000100010011000101…
…01100000100001100011110
311100022111011001211222222210
413202021202230010030132
513320322423030040110
6154245034435021250
76656532312260166
oct742114254041436
9140274131758883
1033133033440030
11a614705667297
1238714a1a3a826
13156457c435bb4
1482790c57b5a6
153c6ced82d520
hex1e2262b0431e

33133033440030 has 64 divisors (see below), whose sum is σ = 82179649355328. Its totient is φ = 8543693168640.

The previous prime is 33133033440029. The next prime is 33133033440047. The reversal of 33133033440030 is 3004433033133.

It is a super-3 number, since 3×331330334400303 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33133033440030.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119053159 + ... + 119331138.

It is an arithmetic number, because the mean of its divisors is an integer number (1284057021177).

Almost surely, 233133033440030 is an apocalyptic number.

33133033440030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33133033440030 is an abundant number, since it is smaller than the sum of its proper divisors (49046615915298).

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

33133033440030 is a wasteful number, since it uses less digits than its factorization.

33133033440030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238384461.

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 33133033440030 its reverse (3004433033133), we get a palindrome (36137466473163).

The spelling of 33133033440030 in words is "thirty-three trillion, one hundred thirty-three billion, thirty-three million, four hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 113 123 205 226 246 339 410 565 615 678 1130 1230 1695 3390 4633 9266 13899 23165 27798 46330 69495 138990 238384297 476768594 715152891 1191921485 1430305782 2383842970 3575764455 7151528910 9773756177 19547512354 26937425561 29321268531 48868780885 53874851122 58642537062 80812276683 97737561770 134687127805 146606342655 161624553366 269374255610 293212685310 404061383415 808122766830 1104434448001 2208868896002 3313303344003 5522172240005 6626606688006 11044344480010 16566516720015 33133033440030