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40465355356405 = 5717231129049337
BaseRepresentation
bin10010011001101100100110…
…01000011011100011110101
312022021110011012010110222001
421030312103020123203311
520300441021432401110
6222021305544335301
711344345141233310
oct1114662310334365
9168243135113861
1040465355356405
1111991296195011
124656559774531
131976b36001b15
149dc768495977
154a28e40b563a
hex24cd9321b8f5

40465355356405 has 48 divisors (see below), whose sum is σ = 60853473432576. Its totient is φ = 25273021962240.

The previous prime is 40465355356373. The next prime is 40465355356411. The reversal of 40465355356405 is 50465355356404.

It is a happy number.

40465355356405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40465355356405 - 25 = 40465355356373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64211104 + ... + 64838233.

It is an arithmetic number, because the mean of its divisors is an integer number (1267780696512).

Almost surely, 240465355356405 is an apocalyptic number.

It is an amenable number.

40465355356405 is a deficient number, since it is larger than the sum of its proper divisors (20388118076171).

40465355356405 is a wasteful number, since it uses less digits than its factorization.

40465355356405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129049414 (or 129049397 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 55.

Subtracting 40465355356405 from its reverse (50465355356404), we obtain a palindrome (9999999999999).

The spelling of 40465355356405 in words is "forty trillion, four hundred sixty-five billion, three hundred fifty-five million, three hundred fifty-six thousand, four hundred five".

Divisors: 1 5 7 17 31 35 85 119 155 217 289 527 595 1085 1445 2023 2635 3689 8959 10115 18445 44795 62713 313565 129049337 645246685 903345359 2193838729 4000529447 4516726795 10969193645 15356871103 20002647235 28003706129 37295258393 68009000599 76784355515 140018530645 186476291965 261066808751 340045002995 476063004193 1156153010183 1305334043755 2380315020965 5780765050915 8093071071281 40465355356405