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42122444231 = 721925774127
BaseRepresentation
bin100111001110101100…
…010111110111000111
311000201120210212122002
4213032230113313013
51142231321203411
631203434055515
73020555603600
oct471654276707
9130646725562
1042122444231
111695602688a
1281b687a59b
133c839cb21a
14207841ada7
151167ed433b
hex9ceb17dc7

42122444231 has 36 divisors (see below), whose sum is σ = 51816414528. Its totient is φ = 34137137664.

The previous prime is 42122444201. The next prime is 42122444239. The reversal of 42122444231 is 13244422124.

It is a happy number.

It is not a de Polignac number, because 42122444231 - 214 = 42122427847 is a prime.

It is a super-2 number, since 2×421224442312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42122444194 and 42122444203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42122444239) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10204490 + ... + 10208616.

It is an arithmetic number, because the mean of its divisors is an integer number (1439344848).

Almost surely, 242122444231 is an apocalyptic number.

42122444231 is a deficient number, since it is larger than the sum of its proper divisors (9693970297).

42122444231 is a wasteful number, since it uses less digits than its factorization.

42122444231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4730 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

Adding to 42122444231 its reverse (13244422124), we get a palindrome (55366866355).

The spelling of 42122444231 in words is "forty-two billion, one hundred twenty-two million, four hundred forty-four thousand, two hundred thirty-one".

Divisors: 1 7 19 49 133 361 577 931 2527 4039 4127 10963 17689 28273 28889 76741 78413 202223 208297 537187 548891 1458079 1489847 2381279 3842237 10206553 10428929 16668953 45244301 73002503 116682671 316710107 859641719 2216970749 6017492033 42122444231