Search a number
-
+
2141125434 = 233715433671
BaseRepresentation
bin111111110011110…
…1111101100111010
312112012220102221000
41333213233230322
513341112003214
6552243425430
7104026160130
oct17747575472
95465812830
102141125434
119a9678258
124b9085276
13281789a36
14164513750
15c7e8c809
hex7f9efb3a

2141125434 has 64 divisors (see below), whose sum is σ = 5442785280. Its totient is φ = 611187120.

The previous prime is 2141125433. The next prime is 2141125451. The reversal of 2141125434 is 4345211412.

2141125434 is a `hidden beast` number, since 2 + 1 + 4 + 112 + 543 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2141125398 and 2141125407.

It is not an unprimeable number, because it can be changed into a prime (2141125433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581419 + ... + 585089.

It is an arithmetic number, because the mean of its divisors is an integer number (85043520).

Almost surely, 22141125434 is an apocalyptic number.

2141125434 is an abundant number, since it is smaller than the sum of its proper divisors (3301659846).

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

2141125434 is a wasteful number, since it uses less digits than its factorization.

2141125434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5226 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2141125434 is about 46272.2966147132. The cubic root of 2141125434 is about 1288.8846064359.

Adding to 2141125434 its reverse (4345211412), we get a palindrome (6486336846).

The spelling of 2141125434 in words is "two billion, one hundred forty-one million, one hundred twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1543 3086 3671 4629 7342 9258 10801 11013 13887 21602 22026 25697 27774 32403 33039 41661 51394 64806 66078 77091 83322 97209 99117 154182 194418 198234 231273 291627 462546 583254 693819 1387638 5664353 11328706 16993059 33986118 39650471 50979177 79300942 101958354 118951413 152937531 237902826 305875062 356854239 713708478 1070562717 2141125434