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40836731528349 = 3367587118132563
BaseRepresentation
bin10010100100100000010101…
…11000000110010010011101
312100120221202000220201121000
421102100022320012102131
520323032111232401344
6222504045132500513
711413233163506501
oct1122201270062235
9170527660821530
1040836731528349
1112014840377769
1246b652291a739
1319a2b6c402ba3
14a12718cbc301
154ac3ccabea69
hex25240ae0649d

40836731528349 has 64 divisors (see below), whose sum is σ = 61560402785280. Its totient is φ = 26748974450880.

The previous prime is 40836731528317. The next prime is 40836731528387. The reversal of 40836731528349 is 94382513763804.

It is a happy number.

40836731528349 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 6 + 73 + 1 + 528 + 34 + 9 = 666.

It is not a de Polignac number, because 40836731528349 - 25 = 40836731528317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40836731520349) 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, 1254067542 + ... + 1254100104.

It is an arithmetic number, because the mean of its divisors is an integer number (961881293520).

It is a 1-persistent number, because it is pandigital, but 2⋅40836731528349 = 81673463056698 is not.

Almost surely, 240836731528349 is an apocalyptic number.

It is an amenable number.

40836731528349 is a deficient number, since it is larger than the sum of its proper divisors (20723671256931).

40836731528349 is a wasteful number, since it uses less digits than its factorization.

40836731528349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34407 (or 34401 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 40836731528349 in words is "forty trillion, eight hundred thirty-six billion, seven hundred thirty-one million, five hundred twenty-eight thousand, three hundred forty-nine".

Divisors: 1 3 9 27 67 201 587 603 1181 1761 1809 3543 5283 10629 15849 31887 32563 39329 79127 97689 117987 237381 293067 353961 693247 712143 879201 1061883 2079741 2136429 2181721 6239223 6545163 18717669 19114481 19635489 38456903 46447549 57343443 58906467 115370709 139342647 172030329 346112127 418027941 516090987 1038336381 1254083823 1280670227 2576612501 3842010681 7729837503 11526032043 22574202061 23189512509 34578096129 67722606183 69568537527 203167818549 609503455647 1512471538087 4537414614261 13612243842783 40836731528349