Search a number
-
+
4140648922113 = 321171837097359
BaseRepresentation
bin111100010000010001111…
…010000111110000000001
3112122211201221110020110200
4330100101322013300001
51020320022111001423
612450104324315413
7605103066056454
oct74202172076001
915584657406420
104140648922113
111357048408580
1256a59ab42b69
132405ccc54bc2
141045a0c0b49b
1572a93b5ed43
hex3c411e87c01

4140648922113 has 48 divisors (see below), whose sum is σ = 6696273991680. Its totient is φ = 2444330095200.

The previous prime is 4140648922063. The next prime is 4140648922153. The reversal of 4140648922113 is 3112298460414.

4140648922113 is a `hidden beast` number, since 4 + 1 + 406 + 4 + 8 + 9 + 221 + 13 = 666.

It is not a de Polignac number, because 4140648922113 - 210 = 4140648921089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4140648922153) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2965273 + ... + 4132086.

It is an arithmetic number, because the mean of its divisors is an integer number (139505708160).

Almost surely, 24140648922113 is an apocalyptic number.

It is an amenable number.

4140648922113 is a deficient number, since it is larger than the sum of its proper divisors (2555625069567).

4140648922113 is a wasteful number, since it uses less digits than its factorization.

4140648922113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097530 (or 7097527 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4140648922113 in words is "four trillion, one hundred forty billion, six hundred forty-eight million, nine hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 71 83 99 213 249 639 747 781 913 2343 2739 5893 7029 8217 17679 53037 64823 194469 583407 7097359 21292077 63876231 78070949 234212847 503912489 589080797 702638541 1511737467 1767242391 4535212401 5301727173 5543037379 6479888767 16629112137 19439666301 41824736587 49887336411 58318998903 125474209761 376422629283 460072102457 1380216307371 4140648922113