Search a number
-
+
34551110000 = 2454114147163
BaseRepresentation
bin100000001011011010…
…000001100101110000
310022011221000020121202
4200023122001211300
51031230041010000
623512250110332
72332131406061
oct401332014560
9108157006552
1034551110000
1113720223370
12684311b3a8
1333482252b4
14195aa5a568
15d73460dd5
hex80b681970

34551110000 has 400 divisors, whose sum is σ = 96056851968. Its totient is φ = 11923200000.

The previous prime is 34551109981. The next prime is 34551110051. The reversal of 34551110000 is 1115543.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211969919 + ... + 211970081.

Almost surely, 234551110000 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 34551110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48028425984).

34551110000 is an abundant number, since it is smaller than the sum of its proper divisors (61505741968).

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

34551110000 is a wasteful number, since it uses less digits than its factorization.

34551110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 34551110000 its reverse (1115543), we get a palindrome (34552225543).

The spelling of 34551110000 in words is "thirty-four billion, five hundred fifty-one million, one hundred ten thousand".