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40131031041 = 33101227241269
BaseRepresentation
bin100101010111111111…
…101111000000000001
310211120210121121022000
4211113333233000001
51124142020443131
630234055134213
72620325064333
oct452777570001
9124523547260
1040131031041
1116023a14662
12793b974369
133a2726c41a
141d29b59453
15109d26ace6
hex957fef001

40131031041 has 64 divisors (see below), whose sum is σ = 60781881600. Its totient is φ = 26165376000.

The previous prime is 40131031021. The next prime is 40131031043. The reversal of 40131031041 is 14013013104.

40131031041 is a `hidden beast` number, since 4 + 0 + 1 + 310 + 310 + 41 = 666.

It is not a de Polignac number, because 40131031041 - 29 = 40131030529 is a prime.

It is a super-2 number, since 2×401310310412 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40131031043) 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 63 ways as a sum of consecutive naturals, for example, 149185855 + ... + 149186123.

It is an arithmetic number, because the mean of its divisors is an integer number (949716900).

Almost surely, 240131031041 is an apocalyptic number.

It is an amenable number.

40131031041 is a deficient number, since it is larger than the sum of its proper divisors (20650850559).

40131031041 is a wasteful number, since it uses less digits than its factorization.

40131031041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 40131031041 its reverse (14013013104), we get a palindrome (54144044145).

The spelling of 40131031041 in words is "forty billion, one hundred thirty-one million, thirty-one thousand, forty-one".

Divisors: 1 3 9 27 101 227 241 269 303 681 723 807 909 2043 2169 2421 2727 6129 6507 7263 22927 24341 27169 54707 61063 64829 68781 73023 81507 164121 183189 194487 206343 219069 244521 492363 549567 583461 619029 657207 733563 1477089 1648701 1750383 5525407 6167363 6547729 14716183 16576221 18502089 19643187 44148549 49728663 55506267 58929561 132445647 149185989 166518801 176788683 397336941 1486334483 4459003449 13377010347 40131031041