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3135404124 = 22323713071801
BaseRepresentation
bin1011101011100010…
…0111100001011100
322002111211000212200
42322320213201130
522410130412444
61235042331500
7140461331616
oct27270474134
98074730780
103135404124
111369943586
12736059b90
133ac772a18
1421a5b1db6
151353dd969
hexbae2785c

3135404124 has 72 divisors (see below), whose sum is σ = 8150561328. Its totient is φ = 1015545600.

The previous prime is 3135404123. The next prime is 3135404177. The reversal of 3135404124 is 4214045313.

It is a happy number.

3135404124 is a `hidden beast` number, since 3 + 135 + 404 + 124 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135404123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1740024 + ... + 1741824.

Almost surely, 23135404124 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 3135404124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075280664).

3135404124 is an abundant number, since it is smaller than the sum of its proper divisors (5015157204).

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

3135404124 is a wasteful number, since it uses less digits than its factorization.

3135404124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3135404124 is about 55994.6794258169. The cubic root of 3135404124 is about 1463.6295701244.

Adding to 3135404124 its reverse (4214045313), we get a palindrome (7349449437).

The spelling of 3135404124 in words is "three billion, one hundred thirty-five million, four hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1307 1332 1801 2614 3602 3921 5228 5403 7204 7842 10806 11763 15684 16209 21612 23526 32418 47052 48359 64836 66637 96718 133274 145077 193436 199911 266548 290154 399822 435231 580308 599733 799644 870462 1199466 1740924 2353907 2398932 4707814 7061721 9415628 14123442 21185163 28246884 42370326 84740652 87094559 174189118 261283677 348378236 522567354 783851031 1045134708 1567702062 3135404124