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40131820704573 = 33131321349124793
BaseRepresentation
bin10010001111111111010101…
…11010101101001100111101
312021002120020120211122002000
421013333222322231030331
520230004432100021243
6221204145351252513
711311266633410463
oct1107775272551475
9167076216748060
1040131820704573
111187289a60a524
12460199567a139
13195155072b380
149ca5676ca833
15498dc28285d3
hex247feaead33d

40131820704573 has 64 divisors (see below), whose sum is σ = 64097385327360. Its totient is φ = 24669745689600.

The previous prime is 40131820704533. The next prime is 40131820704583. The reversal of 40131820704573 is 37540702813104.

40131820704573 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 1 + 8 + 2 + 0 + 70 + 4 + 573 = 666.

It is not a de Polignac number, because 40131820704573 - 216 = 40131820639037 is a prime.

It is a super-2 number, since 2×401318207045732 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131820704533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1618663065 + ... + 1618687857.

It is an arithmetic number, because the mean of its divisors is an integer number (1001521645740).

Almost surely, 240131820704573 is an apocalyptic number.

It is an amenable number.

40131820704573 is a deficient number, since it is larger than the sum of its proper divisors (23965564622787).

40131820704573 is a wasteful number, since it uses less digits than its factorization.

40131820704573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29627 (or 29621 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 40131820704573 in words is "forty trillion, one hundred thirty-one billion, eight hundred twenty million, seven hundred four thousand, five hundred seventy-three".

Divisors: 1 3 9 13 27 39 117 351 1321 3491 3963 10473 11889 17173 24793 31419 35667 45383 51519 74379 94257 136149 154557 223137 322309 408447 463671 669411 966927 1225341 2900781 4611611 8702343 13834833 32751553 41504499 59950943 86552363 98254659 124513497 179852829 259657089 294763977 425770189 539558487 778971267 884291931 1125180719 1277310567 1618675461 2336913801 3375542157 3831931701 10126626471 11495795103 30379879413 114335671523 343007014569 1029021043707 1486363729799 3087063131121 4459091189397 13377273568191 40131820704573