Search a number
-
+
2114104111040 = 265297110929437
BaseRepresentation
bin11110110000111010011…
…011001010111111000000
321111002212112212021021202
4132300322123022333000
5234114141123023130
64255112300040332
7305511320305565
oct36607233127700
97432775767252
102114104111040
1174564a7242a9
122a18892330a8
1312448910573c
1474474b6886c
1539ed5563145
hex1ec3a6cafc0

2114104111040 has 224 divisors, whose sum is σ = 5329785225600. Its totient is φ = 797569597440.

The previous prime is 2114104110959. The next prime is 2114104111057. The reversal of 2114104111040 is 401114014112.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71803202 + ... + 71832638.

Almost surely, 22114104111040 is an apocalyptic number.

2114104111040 is a gapful number since it is divisible by the number (20) 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 2114104111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664892612800).

2114104111040 is an abundant number, since it is smaller than the sum of its proper divisors (3215681114560).

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

2114104111040 is a wasteful number, since it uses less digits than its factorization.

2114104111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29663 (or 29653 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 2114104111040 its reverse (401114014112), we get a palindrome (2515218125152).

The spelling of 2114104111040 in words is "two trillion, one hundred fourteen billion, one hundred four million, one hundred eleven thousand, forty".