Search a number
-
+
4111104000 = 21135353101
BaseRepresentation
bin1111010100001010…
…0111100000000000
3101121111202201111010
43311002213200000
531404420312000
61515535120520
7203606543643
oct36502474000
911544681433
104111104000
11181a67a313
12968973140
13506952423
142addd5a5a
15190dbed50
hexf50a7800

4111104000 has 384 divisors, whose sum is σ = 14074482240. Its totient is φ = 1064960000.

The previous prime is 4111103957. The next prime is 4111104017. The reversal of 4111104000 is 4011114.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 40703950 + ... + 40704050.

Almost surely, 24111104000 is an apocalyptic number.

4111104000 is a gapful number since it is divisible by the number (40) 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 4111104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037241120).

4111104000 is an abundant number, since it is smaller than the sum of its proper divisors (9963378240).

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

4111104000 is a wasteful number, since it uses less digits than its factorization.

4111104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 4111104000 is about 64117.8914188544. The cubic root of 4111104000 is about 1601.9642542456.

Adding to 4111104000 its reverse (4011114), we get a palindrome (4115115114).

The spelling of 4111104000 in words is "four billion, one hundred eleven million, one hundred four thousand".