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40131770741037 = 3253541155515141
BaseRepresentation
bin10010001111111111001111…
…11100000111000100101101
312021002120010002211012222200
421013333213330013010231
520230004331302203122
6221204140404332113
711311265455624263
oct1107774774070455
9167076102735880
1040131770741037
1111872874394148
1246019809a4039
131951543286751
149ca560c02433
15498dbd2595ac
hex247fe7f0712d

40131770741037 has 24 divisors (see below), whose sum is σ = 59171023288728. Its totient is φ = 26201190787200.

The previous prime is 40131770741003. The next prime is 40131770741053. The reversal of 40131770741037 is 73014707713104.

40131770741037 is a `hidden beast` number, since 4 + 0 + 131 + 7 + 70 + 7 + 410 + 37 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11617388248041 + 28514382492996 = 3408429^2 + 5339886^2 .

It is not a de Polignac number, because 40131770741037 - 28 = 40131770740781 is a prime.

It is a super-2 number, since 2×401317707410372 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40131770740983 and 40131770741001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131770741077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77499514 + ... + 78015627.

It is an arithmetic number, because the mean of its divisors is an integer number (2465459303697).

Almost surely, 240131770741037 is an apocalyptic number.

It is an amenable number.

40131770741037 is a deficient number, since it is larger than the sum of its proper divisors (19039252547691).

40131770741037 is a wasteful number, since it uses less digits than its factorization.

40131770741037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155515741 (or 155515738 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 40131770741037 in words is "forty trillion, one hundred thirty-one billion, seven hundred seventy million, seven hundred forty-one thousand, thirty-seven".

Divisors: 1 3 9 53 159 477 541 1623 4869 28673 86019 258057 155515141 466545423 1399636269 8242302473 24726907419 74180722257 84133691281 252401073843 757203221529 4459085637893 13377256913679 40131770741037