Search a number
-
+
104302433224032 = 2534126499601937
BaseRepresentation
bin10111101101110011001101…
…011110110100010101100000
3111200022012210220110211211120
4113231303031132310111200
5102132342340401132112
61005455513142212240
730653413346141451
oct2755631536642540
9450265726424746
10104302433224032
113026346043a29a
12b846615a24080
1346278a5bbc4c4
141ba839c4c1128
15c0d22b873e8c
hex5edccd7b4560

104302433224032 has 48 divisors (see below), whose sum is σ = 280471786911792. Its totient is φ = 33919490478080.

The previous prime is 104302433224013. The next prime is 104302433224037. The reversal of 104302433224032 is 230422334203401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1043024332240323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104302433223984 and 104302433224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104302433224037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13249797033 + ... + 13249804904.

It is an arithmetic number, because the mean of its divisors is an integer number (5843162227329).

Almost surely, 2104302433224032 is an apocalyptic number.

104302433224032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104302433224032 is an abundant number, since it is smaller than the sum of its proper divisors (176169353687760).

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

104302433224032 is a wasteful number, since it uses less digits than its factorization.

104302433224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26499601991 (or 26499601983 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 104302433224032 its reverse (230422334203401), we get a palindrome (334724767427433).

The spelling of 104302433224032 in words is "one hundred four trillion, three hundred two billion, four hundred thirty-three million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 26499601937 52999203874 79498805811 105998407748 158997611622 211996815496 317995223244 423993630992 635990446488 847987261984 1086483679417 1271980892976 2172967358834 2543961785952 3259451038251 4345934717668 6518902076502 8691869435336 13037804153004 17383738870672 26075608306008 34767477741344 52151216612016 104302433224032