Search a number
-
+
42422101039241 = 7114117903750571
BaseRepresentation
bin10011010010101001010100…
…10000110101100010001001
312120012111212011100100112022
421221110222100311202021
521030020430331223431
6230120235535254225
711635616132142410
oct1151245220654211
9176174764310468
1042422101039241
1112576126105140
12491182b97a375
131a89505207981
14a69352490477
154d8769a2e07b
hex26952a435889

42422101039241 has 32 divisors (see below), whose sum is σ = 54182988066816. Its totient is φ = 32248089936000.

The previous prime is 42422101039187. The next prime is 42422101039301. The reversal of 42422101039241 is 14293010122424.

It is a cyclic number.

It is not a de Polignac number, because 42422101039241 - 214 = 42422101022857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42422101039141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56144486 + ... + 56895056.

It is an arithmetic number, because the mean of its divisors is an integer number (1693218377088).

Almost surely, 242422101039241 is an apocalyptic number.

42422101039241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42422101039241 is a deficient number, since it is larger than the sum of its proper divisors (11760887027575).

42422101039241 is a wasteful number, since it uses less digits than its factorization.

42422101039241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768533.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 42422101039241 in words is "forty-two trillion, four hundred twenty-two billion, one hundred one million, thirty-nine thousand, two hundred forty-one".

Divisors: 1 7 11 41 77 287 451 3157 17903 125321 196933 734023 750571 1378531 5138161 5253997 8074253 8256281 30773411 56519771 57793967 215413877 338507521 2369552647 13437472613 94062308291 147812198743 550936377133 1034685391201 3856554639931 6060300148463 42422101039241