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33234234140034 = 23739231936817
BaseRepresentation
bin1111000111001111100101…
…01110000110010110000010
311100200011100220211020000000
413203213302232012112002
513324002202414440114
6154403332453140430
710000044206110614
oct743476256062602
9140604326736000
1033234234140034
11a653617837044
12388902592a716
131570c899235c5
1482c78cc70db4
153c9773190e09
hex1e39f2b86582

33234234140034 has 64 divisors (see below), whose sum is σ = 74784726506880. Its totient is φ = 11075248449216.

The previous prime is 33234234139999. The next prime is 33234234140053. The reversal of 33234234140034 is 43004143243233.

33234234140034 is a `hidden beast` number, since 3 + 3 + 234 + 2 + 3 + 414 + 0 + 0 + 3 + 4 = 666.

It is a super-2 number, since 2×332342341400342 (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 16190794 + ... + 18127610.

It is an arithmetic number, because the mean of its divisors is an integer number (1168511351670).

Almost surely, 233234234140034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33234234140034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37392363253440).

33234234140034 is an abundant number, since it is smaller than the sum of its proper divisors (41550492366846).

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

33234234140034 is an equidigital number, since it uses as much as digits as its factorization.

33234234140034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940763 (or 1940745 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 33234234140034 its reverse (43004143243233), we get a palindrome (76238377383267).

The spelling of 33234234140034 in words is "thirty-three trillion, two hundred thirty-four billion, two hundred thirty-four million, one hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 3923 4374 7846 11769 23538 35307 70614 105921 211842 317763 635526 953289 1906578 1936817 2859867 3873634 5719734 5810451 8579601 11620902 17159202 17431353 34862706 52294059 104588118 156882177 313764354 470646531 941293062 1411939593 2823879186 4235818779 7598133091 8471637558 15196266182 22794399273 45588798546 68383197819 136766395638 205149593457 410299186914 615448780371 1230897560742 1846346341113 3692692682226 5539039023339 11078078046678 16617117070017 33234234140034