Search a number
-
+
42133334001341 = 1137587176357249
BaseRepresentation
bin10011001010001111011100…
…11010000000011010111101
312112011220111111012220221112
421211013232122000122331
521010303032001020331
6225335441511411405
711606014202623502
oct1145075632003275
9175156444186845
1042133334001341
11124747126a25a0
124885880383b65
131a6820565bccb
14a5939b1414a9
154d0eb85ca32b
hex2651ee6806bd

42133334001341 has 16 divisors (see below), whose sum is σ = 47286316728000. Its totient is φ = 37204325038080.

The previous prime is 42133334001293. The next prime is 42133334001347. The reversal of 42133334001341 is 14310043333124.

It is a happy number.

42133334001341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42133334001341 - 214 = 42133333984957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42133334001298 and 42133334001307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133334001347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87939716 + ... + 88417533.

It is an arithmetic number, because the mean of its divisors is an integer number (2955394795500).

Almost surely, 242133334001341 is an apocalyptic number.

It is an amenable number.

42133334001341 is a deficient number, since it is larger than the sum of its proper divisors (5152982726659).

42133334001341 is a wasteful number, since it uses less digits than its factorization.

42133334001341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176357884.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 42133334001341 its reverse (14310043333124), we get a palindrome (56443377334465).

The spelling of 42133334001341 in words is "forty-two trillion, one hundred thirty-three billion, three hundred thirty-four million, one thousand, three hundred forty-one".

Divisors: 1 11 37 407 587 6457 21719 238909 176357249 1939929739 6525218213 71777400343 103521705163 1138738756793 3830303091031 42133334001341