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4114111134 = 2374119312379
BaseRepresentation
bin1111010100111000…
…0101101010011110
3101121201102111111110
43311032011222132
531411203024014
61520123402450
7203644240050
oct36516055236
911551374443
104114111134
111821343651
12969983426
135074660b3
142b05798d0
151912b5d59
hexf5385a9e

4114111134 has 64 divisors (see below), whose sum is σ = 9683735040. Its totient is φ = 1140756480.

The previous prime is 4114111109. The next prime is 4114111147. The reversal of 4114111134 is 4311114114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4114111134.

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, 326157 + ... + 338535.

It is an arithmetic number, because the mean of its divisors is an integer number (151308360).

Almost surely, 24114111134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114111134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841867520).

4114111134 is an abundant number, since it is smaller than the sum of its proper divisors (5569623906).

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

4114111134 is a wasteful number, since it uses less digits than its factorization.

4114111134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12625.

The product of its digits is 192, while the sum is 21.

The square root of 4114111134 is about 64141.3371703459. The cubic root of 4114111134 is about 1602.3547533333.

Adding to 4114111134 its reverse (4311114114), we get a palindrome (8425225248).

The spelling of 4114111134 in words is "four billion, one hundred fourteen million, one hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 193 246 287 386 574 579 861 1158 1351 1722 2702 4053 7913 8106 12379 15826 23739 24758 37137 47478 55391 74274 86653 110782 166173 173306 259959 332346 507539 519918 1015078 1522617 2389147 3045234 3552773 4778294 7105546 7167441 10658319 14334882 16724029 21316638 33448058 50172087 97955027 100344174 195910054 293865081 587730162 685685189 1371370378 2057055567 4114111134