Search a number
-
+
4100343701436 = 22321013311240347
BaseRepresentation
bin111011101010101111100…
…001111001111110111100
3112111222201000001212220200
4323222233201321332330
51014140000441421221
612415401043443500
7602145224253453
oct73525741717674
915458630055820
104100343701436
111340a4513a744
12562810986590
132398788974b8
14102659cabb9a
15719d5487426
hex3baaf879fbc

4100343701436 has 36 divisors (see below), whose sum is σ = 10365781483512. Its totient is φ = 1366646228064.

The previous prime is 4100343701413. The next prime is 4100343701437. The reversal of 4100343701436 is 6341073430014.

4100343701436 is a `hidden beast` number, since 4 + 100 + 343 + 70 + 143 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4100343701436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100343701437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5255386 + ... + 5984961.

It is an arithmetic number, because the mean of its divisors is an integer number (287938374542).

Almost surely, 24100343701436 is an apocalyptic number.

It is an amenable number.

4100343701436 is an abundant number, since it is smaller than the sum of its proper divisors (6265437782076).

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

4100343701436 is a wasteful number, since it uses less digits than its factorization.

4100343701436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250490 (or 11250485 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 4100343701436 in words is "four trillion, one hundred billion, three hundred forty-three million, seven hundred one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 10133 20266 30399 40532 60798 91197 121596 182394 364788 11240347 22480694 33721041 44961388 67442082 101163123 134884164 202326246 404652492 113898436151 227796872302 341695308453 455593744604 683390616906 1025085925359 1366781233812 2050171850718 4100343701436