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40106563034145 = 3537711017803909
BaseRepresentation
bin10010001111010000010010…
…11100010101110000100001
312021000011001100002000212220
421013220021130111300201
520224101220114043040
6221144411203541253
711306414006636406
oct1107501134256041
9167004040060786
1040106563034145
1111863109290933
1245b8b0698a829
13194c0569c805a
149c924d02c2ad
154983e52092d0
hex247a09715c21

40106563034145 has 32 divisors (see below), whose sum is σ = 66833075946240. Its totient is φ = 20518926785280.

The previous prime is 40106563034129. The next prime is 40106563034147. The reversal of 40106563034145 is 54143036560104.

It is a happy number.

It is not a de Polignac number, because 40106563034145 - 24 = 40106563034129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40106563034097 and 40106563034106.

It is not an unprimeable number, because it can be changed into a prime (40106563034147) 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 31 ways as a sum of consecutive naturals, for example, 508862550 + ... + 508941359.

It is an arithmetic number, because the mean of its divisors is an integer number (2088533623320).

Almost surely, 240106563034145 is an apocalyptic number.

It is an amenable number.

40106563034145 is a deficient number, since it is larger than the sum of its proper divisors (26726512912095).

40106563034145 is a wasteful number, since it uses less digits than its factorization.

40106563034145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017804025.

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 40106563034145 its reverse (54143036560104), we get a palindrome (94249599594249).

The spelling of 40106563034145 in words is "forty trillion, one hundred six billion, five hundred sixty-three million, thirty-four thousand, one hundred forty-five".

Divisors: 1 3 5 15 37 71 111 185 213 355 555 1065 2627 7881 13135 39405 1017803909 3053411727 5089019545 15267058635 37658744633 72264077539 112976233899 188293723165 216792232617 361320387695 564881169495 1083961163085 2673770868943 8021312606829 13368854344715 40106563034145