Search a number
-
+
40001368131 = 347314994513
BaseRepresentation
bin100101010000010001…
…000111000001000011
310211020202122001020000
4211100101013001003
51123410322240011
630213144051043
72614162006344
oct452021070103
9124222561200
1040001368131
1115a67802a2a
127904463a83
133a064411ca
141d168460cb
151091ba7356
hex950447043

40001368131 has 40 divisors (see below), whose sum is σ = 60627534000. Its totient is φ = 26278898688.

The previous prime is 40001368129. The next prime is 40001368139. The reversal of 40001368131 is 13186310004.

It is not a de Polignac number, because 40001368131 - 21 = 40001368129 is a prime.

It is a super-2 number, since 2×400013681312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40001368095 and 40001368104.

It is not an unprimeable number, because it can be changed into a prime (40001368139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8861331 + ... + 8865843.

It is an arithmetic number, because the mean of its divisors is an integer number (1515688350).

Almost surely, 240001368131 is an apocalyptic number.

40001368131 is a deficient number, since it is larger than the sum of its proper divisors (20626165869).

40001368131 is a wasteful number, since it uses less digits than its factorization.

40001368131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 40001368131 its reverse (13186310004), we get a palindrome (53187678135).

The spelling of 40001368131 in words is "forty billion, one million, three hundred sixty-eight thousand, one hundred thirty-one".

Divisors: 1 3 9 27 73 81 219 657 1499 1971 4497 4513 5913 13491 13539 40473 40617 109427 121419 121851 328281 329449 365553 984843 988347 2954529 2965041 6764987 8863587 8895123 20294961 26685369 60884883 182654649 493844051 547963947 1481532153 4444596459 13333789377 40001368131