Search a number
-
+
40132226421 = 3272971934861
BaseRepresentation
bin100101011000000100…
…010010110101110101
310211120212212100001100
4211120010102311311
51124142322221141
630234140520313
72620341203400
oct453004226565
9124525770040
1040132226421
1116024660781
127940250099
133a2759a551
141d29d8ad37
15109d4050b6
hex958112d75

40132226421 has 72 divisors (see below), whose sum is σ = 68495330904. Its totient is φ = 22574039040.

The previous prime is 40132226389. The next prime is 40132226447. The reversal of 40132226421 is 12462223104.

40132226421 is a `hidden beast` number, since 4 + 0 + 13 + 2 + 2 + 2 + 642 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8576612100 + 31555614321 = 92610^2 + 177639^2 .

It is not a de Polignac number, because 40132226421 - 25 = 40132226389 is a prime.

It is a super-2 number, since 2×401322264212 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132226221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8253531 + ... + 8258391.

Almost surely, 240132226421 is an apocalyptic number.

It is an amenable number.

40132226421 is a deficient number, since it is larger than the sum of its proper divisors (28363104483).

40132226421 is a wasteful number, since it uses less digits than its factorization.

40132226421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40132226421 its reverse (12462223104), we get a palindrome (52594449525).

The spelling of 40132226421 in words is "forty billion, one hundred thirty-two million, two hundred twenty-six thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 97 147 193 291 441 579 679 873 1351 1737 2037 4053 4753 4861 6111 9457 12159 14259 14583 18721 28371 34027 42777 43749 56163 85113 102081 131047 168489 238189 306243 393141 471517 714567 917329 938173 1179423 1414551 2143701 2751987 2814519 3300619 4243653 6567211 8255961 8443557 9901857 19701633 23104333 29705571 45970477 59104899 69312999 91002781 137911431 207938997 273008343 413734293 637019467 819025029 1911058401 4459136269 5733175203 13377408807 40132226421