Search a number
-
+
355034042136 = 2333531011991543
BaseRepresentation
bin1010010101010011010…
…11011000111100011000
31020221101221012000222000
411022221223120330120
521304102203322021
6431033403401000
734436034364644
oct5125153307430
91227357160860
10355034042136
11127629508754
1258984223160
13276307b8c97
1413280275c24
15937de81b26
hex52a9ad8f18

355034042136 has 256 divisors, whose sum is σ = 1020522240000. Its totient is φ = 114310310400.

The previous prime is 355034042093. The next prime is 355034042141. The reversal of 355034042136 is 631240430553.

355034042136 is a `hidden beast` number, since 3 + 550 + 34 + 0 + 42 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 355034042136.

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 63 ways as a sum of consecutive naturals, for example, 230092581 + ... + 230094123.

It is an arithmetic number, because the mean of its divisors is an integer number (3986415000).

Almost surely, 2355034042136 is an apocalyptic number.

355034042136 is a gapful number since it is divisible by the number (36) 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 355034042136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510261120000).

355034042136 is an abundant number, since it is smaller than the sum of its proper divisors (665488197864).

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

355034042136 is a wasteful number, since it uses less digits than its factorization.

355034042136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 355034042136 its reverse (631240430553), we get a palindrome (986274472689).

The spelling of 355034042136 in words is "three hundred fifty-five billion, thirty-four million, forty-two thousand, one hundred thirty-six".