Search a number
-
+
3104234214032 = 247191502128901
BaseRepresentation
bin101101001011000010110…
…001110001001010010000
3101222202120102022222101202
4231023002301301022100
5401324432424322112
610334022052250332
7440162550312650
oct55130261611220
911882512288352
103104234214032
11a97553317516
124217559109a8
13196960637423
14aa362438360
1555b3556a6c2
hex2d2c2c71290

3104234214032 has 80 divisors (see below), whose sum is σ = 6911264507904. Its totient is φ = 1323111360000.

The previous prime is 3104234214017. The next prime is 3104234214073. The reversal of 3104234214032 is 2304124324013.

It is a junction number, because it is equal to n+sod(n) for n = 3104234213986 and 3104234214004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107394782 + ... + 107423682.

Almost surely, 23104234214032 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 3104234214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455632253952).

3104234214032 is an abundant number, since it is smaller than the sum of its proper divisors (3807030293872).

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

3104234214032 is a wasteful number, since it uses less digits than its factorization.

3104234214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34128 (or 34122 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3104234214032 its reverse (2304124324013), we get a palindrome (5408358538045).

The spelling of 3104234214032 in words is "three trillion, one hundred four billion, two hundred thirty-four million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 191 382 764 1337 1528 2674 3056 5021 5348 10042 10696 20084 21392 28901 35147 40168 57802 70294 80336 115604 140588 202307 231208 281176 404614 462416 562352 809228 959011 1618456 1918022 3236912 3836044 5520091 6713077 7672088 11040182 13426154 15344176 22080364 26852308 38640637 44160728 53704616 77281274 88321456 107409232 145111921 154562548 290223842 309125096 580447684 618250192 1015783447 1160895368 2031566894 2321790736 4063133788 8126267576 16252535152 27716376911 55432753822 110865507644 194014638377 221731015288 388029276754 443462030576 776058553508 1552117107016 3104234214032