Search a number
-
+
3421141304625 = 325311710338921
BaseRepresentation
bin110001110010001011111…
…010011000010100110001
3110010001120012221012022100
4301302023322120110301
5422022444133222000
611135352311131013
7502112033165532
oct61621372302461
913101505835270
103421141304625
1110a9997094160
12473059373a69
131ba7c6129145
14bb826b92689
155ded219ca00
hex31c8be98531

3421141304625 has 96 divisors (see below), whose sum is σ = 6728949946368. Its totient is φ = 1658459040000.

The previous prime is 3421141304621. The next prime is 3421141304677. The reversal of 3421141304625 is 5264031411243.

3421141304625 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 14 + 13 + 0 + 4 + 625 = 666.

It is not a de Polignac number, because 3421141304625 - 22 = 3421141304621 is a prime.

It is a super-2 number, since 2×34211413046252 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3421141304625.

It is not an unprimeable number, because it can be changed into a prime (3421141304621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87880165 + ... + 87919085.

It is an arithmetic number, because the mean of its divisors is an integer number (70093228608).

Almost surely, 23421141304625 is an apocalyptic number.

It is an amenable number.

3421141304625 is a deficient number, since it is larger than the sum of its proper divisors (3307808641743).

3421141304625 is a wasteful number, since it uses less digits than its factorization.

3421141304625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46056 (or 46043 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 3421141304625 its reverse (5264031411243), we get a palindrome (8685172715868).

The spelling of 3421141304625 in words is "three trillion, four hundred twenty-one billion, one hundred forty-one million, three hundred four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 375 495 825 1125 1375 2475 4125 7103 12375 21309 35515 38921 63927 78133 106545 116763 177575 194605 234399 319635 350289 390665 428131 532725 583815 703197 887875 973025 1171995 1284393 1598175 1751445 1953325 2140655 2663625 2919075 3515985 3853179 4865125 5859975 6421965 7990875 8757225 9766625 10703275 14595375 17579925 19265895 29299875 32109825 43786125 53516375 87899625 96329475 160549125 276455863 481647375 829367589 1382279315 2488102767 3041014493 4146837945 6911396575 9123043479 12440513835 15205072465 20734189725 27369130437 34556982875 45615217395 62202569175 76025362325 103670948625 136845652185 228076086975 311012845875 380126811625 684228260925 1140380434875 3421141304625