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40432537134045 = 3357835021102667
BaseRepresentation
bin10010011000101111011110…
…00000110110001111011101
312022011022110000212001022000
421030113233000312033131
520244421314001242140
6221554241240112513
711342103651032610
oct1114275700661735
9168138400761260
1040432537134045
11119793851578a1
12465011aa65739
131973a05acc534
149dad33a42177
154a1b22d52a30
hex24c5ef0363dd

40432537134045 has 128 divisors (see below), whose sum is σ = 83155757690880. Its totient is φ = 18256938727680.

The previous prime is 40432537133987. The next prime is 40432537134079. The reversal of 40432537134045 is 54043173523404.

40432537134045 is a `hidden beast` number, since 4 + 0 + 4 + 32 + 537 + 1 + 3 + 40 + 45 = 666.

It is not a de Polignac number, because 40432537134045 - 27 = 40432537133917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 393770802 + ... + 393873468.

It is an arithmetic number, because the mean of its divisors is an integer number (649654356960).

Almost surely, 240432537134045 is an apocalyptic number.

40432537134045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40432537134045 is an abundant number, since it is smaller than the sum of its proper divisors (42723220556835).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40432537134045 is a wasteful number, since it uses less digits than its factorization.

40432537134045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107792 (or 107786 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 40432537134045 in words is "forty trillion, four hundred thirty-two billion, five hundred thirty-seven million, one hundred thirty-four thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 83 105 135 189 249 315 415 581 747 945 1245 1743 2241 2905 3735 5021 5229 8715 11205 15063 15687 25105 26145 35147 45189 75315 78435 102667 105441 135567 175735 225945 308001 316323 416743 513335 527205 677835 718669 924003 948969 1250229 1540005 1581615 2083715 2156007 2772009 2917201 3593345 3750687 4620015 4744845 6251145 6468021 8521361 8751603 10780035 11252061 13860045 14586005 18753435 19404063 25564083 26254809 32340105 42606805 43758015 56260305 59649527 76692249 78764427 97020315 127820415 131274045 178948581 230076747 298247635 383461245 393822135 515491007 536845743 894742905 1150383735 1546473021 1610537229 2577455035 2684228715 3608437049 4639419063 7732365105 8052686145 10825311147 13918257189 18042185245 23197095315 32475933441 42785753581 54126555735 69591285945 97427800323 128357260743 162379667205 213928767905 299500275067 385071782229 487139001615 641786303715 898500825201 1155215346687 1497501375335 1925358911145 2695502475603 4492504126005 5776076733435 8086507426809 13477512378015 40432537134045