Search a number
-
+
40138821733041 = 329283134804273
BaseRepresentation
bin10010010000001100011000…
…01101100000101010110001
312021010020022111111201122200
421020012030031200222301
520230113301330424131
6221211304203453413
711311635264232263
oct1110061415405261
9167106274451580
1040138821733041
11118758624a6869
12460320a227269
1319520c8004475
149caa2d433b33
154991822972e6
hex24818c360ab1

40138821733041 has 12 divisors (see below), whose sum is σ = 57978372582468. Its totient is φ = 26759180093184.

The previous prime is 40138821733033. The next prime is 40138821733063. The reversal of 40138821733041 is 14033712883104.

40138821733041 is a `hidden beast` number, since 40 + 13 + 88 + 217 + 3 + 304 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18904051798641 + 21234769934400 = 4347879^2 + 4608120^2 .

It is not a de Polignac number, because 40138821733041 - 23 = 40138821733033 is a prime.

It is a super-2 number, since 2×401388217330412 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40138821833041) 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 11 ways as a sum of consecutive naturals, for example, 5952681 + ... + 10756953.

It is an arithmetic number, because the mean of its divisors is an integer number (4831531048539).

Almost surely, 240138821733041 is an apocalyptic number.

It is an amenable number.

40138821733041 is a deficient number, since it is larger than the sum of its proper divisors (17839550849427).

40138821733041 is a wasteful number, since it uses less digits than its factorization.

40138821733041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732592 (or 5732589 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40138821733041 in words is "forty trillion, one hundred thirty-eight billion, eight hundred twenty-one million, seven hundred thirty-three thousand, forty-one".

Divisors: 1 3 9 928313 2784939 4804273 8354817 14412819 43238457 4459869081449 13379607244347 40138821733041