Search a number
-
+
3561214104 = 2332725128151
BaseRepresentation
bin1101010001000011…
…1101000010011000
3100012012001102100200
43110100331002120
524243132322404
61345213102200
7154151551260
oct32420750230
910165042320
103561214104
111568237958
12834787960
13449a500a6
1425ad747a0
1515c99e839
hexd443d098

3561214104 has 96 divisors (see below), whose sum is σ = 11067114240. Its totient is φ = 1013400000.

The previous prime is 3561214091. The next prime is 3561214109. The reversal of 3561214104 is 4014121653.

It is a happy number.

3561214104 is a `hidden beast` number, since 3 + 5 + 612 + 1 + 41 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561214109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 112429 + ... + 140579.

It is an arithmetic number, because the mean of its divisors is an integer number (115282440).

Almost surely, 23561214104 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 3561214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533557120).

3561214104 is an abundant number, since it is smaller than the sum of its proper divisors (7505900136).

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

3561214104 is a wasteful number, since it uses less digits than its factorization.

3561214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28421 (or 28414 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3561214104 is about 59675.9089080342. The cubic root of 3561214104 is about 1527.0949052167.

Adding to 3561214104 its reverse (4014121653), we get a palindrome (7575335757).

The spelling of 3561214104 in words is "three billion, five hundred sixty-one million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 251 252 502 504 753 1004 1506 1757 2008 2259 3012 3514 4518 5271 6024 7028 9036 10542 14056 15813 18072 21084 28151 31626 42168 56302 63252 84453 112604 126504 168906 197057 225208 253359 337812 394114 506718 591171 675624 788228 1013436 1182342 1576456 1773513 2026872 2364684 3547026 4729368 7065901 7094052 14131802 14188104 21197703 28263604 42395406 49461307 56527208 63593109 84790812 98922614 127186218 148383921 169581624 197845228 254372436 296767842 395690456 445151763 508744872 593535684 890303526 1187071368 1780607052 3561214104