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40523264145 = 3357133298597
BaseRepresentation
bin100101101111010111…
…111111000010010001
310212121010200002222000
4211233113333002101
51130442423423040
630341030104213
72633130030150
oct455727770221
9125533602860
1040523264145
1116205365151
127a2b1ab069
133a8a5c1710
141d65c9b597
1510c28e8130
hex96f5ff091

40523264145 has 64 divisors (see below), whose sum is σ = 88666314240. Its totient is φ = 17099921664.

The previous prime is 40523264143. The next prime is 40523264153. The reversal of 40523264145 is 54146232504.

40523264145 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 3 + 2 + 641 + 4 + 5 = 666.

It is not a de Polignac number, because 40523264145 - 21 = 40523264143 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40523264143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1637014 + ... + 1661583.

It is an arithmetic number, because the mean of its divisors is an integer number (1385411160).

Almost surely, 240523264145 is an apocalyptic number.

40523264145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40523264145 is an abundant number, since it is smaller than the sum of its proper divisors (48143050095).

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

40523264145 is a wasteful number, since it uses less digits than its factorization.

40523264145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298631 (or 3298625 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 40523264145 its reverse (54146232504), we get a palindrome (94669496649).

The spelling of 40523264145 in words is "forty billion, five hundred twenty-three million, two hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285 3298597 9895791 16492985 23090179 29687373 42881761 49478955 69270537 89062119 115450895 128645283 148436865 207811611 214408805 300172327 346352685 385935849 445310595 623434833 643226415 900516981 1039058055 1157807547 1500861635 1929679245 2701550943 3117174165 4502584905 5789037735 8104652829 13507754715 40523264145