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1141106136 = 233436471709
BaseRepresentation
bin100010000000011…
…1110010111011000
32221112012012100020
41010000332113120
54314110344021
6305121510440
740164146022
oct10400762730
92845165306
101141106136
11536140a25
1227a1a2420
13152543b41
14ab79d012
156a2a57c6
hex4403e5d8

1141106136 has 64 divisors (see below), whose sum is σ = 2925331200. Its totient is φ = 370731648.

The previous prime is 1141106081. The next prime is 1141106173. The reversal of 1141106136 is 6316011411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 666850 + ... + 668558.

It is an arithmetic number, because the mean of its divisors is an integer number (45708300).

Almost surely, 21141106136 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 1141106136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462665600).

1141106136 is an abundant number, since it is smaller than the sum of its proper divisors (1784225064).

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

1141106136 is a wasteful number, since it uses less digits than its factorization.

1141106136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1141106136 is about 33780.2625211824. The cubic root of 1141106136 is about 1044.9816884378.

Adding to 1141106136 its reverse (6316011411), we get a palindrome (7457117547).

The spelling of 1141106136 in words is "one billion, one hundred forty-one million, one hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 647 1032 1294 1709 1941 2588 3418 3882 5127 5176 6836 7764 10254 13672 15528 20508 27821 41016 55642 73487 83463 111284 146974 166926 220461 222568 293948 333852 440922 587896 667704 881844 1105723 1763688 2211446 3317169 4422892 6634338 8845784 13268676 26537352 47546089 95092178 142638267 190184356 285276534 380368712 570553068 1141106136