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31190032449 = 363122112
BaseRepresentation
bin11101000011000100…
…100010000001000001
32222111200112211000000
4131003010202001001
51002334122014244
622154542350213
72152626621132
oct350304420101
988450484000
1031190032449
1112255a62024
12606558b369
132c30aa9704
14171c501c89
15c28346169
hex743122041

31190032449 has 63 divisors (see below), whose sum is σ = 48550916817. Its totient is φ = 20027233800.

The previous prime is 31190032421. The next prime is 31190032451. The reversal of 31190032449 is 94423009113.

The square root of 31190032449 is 176607.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 31190032449 - 211 = 31190030401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31190032249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 147819954 + ... + 147820164.

Almost surely, 231190032449 is an apocalyptic number.

31190032449 is the 176607-th square number.

31190032449 is the 88304-th centered octagonal number.

It is an amenable number.

31190032449 is a deficient number, since it is larger than the sum of its proper divisors (17360884368).

31190032449 is an frugal number, since it uses more digits than its factorization.

31190032449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 31190032449 by its sum of digits (36), we get a square (1122841168164 = 10596422).

The spelling of 31190032449 in words is "thirty-one billion, one hundred ninety million, thirty-two thousand, four hundred forty-nine".

Divisors: 1 3 9 27 31 81 93 211 243 279 633 729 837 961 1899 2511 2883 5697 6541 7533 8649 17091 19623 22599 25947 44521 51273 58869 77841 133563 153819 176607 202771 233523 400689 529821 608313 700569 1202067 1380151 1589463 1824939 3606201 4140453 4768389 5474817 10818603 12421359 16424451 32455809 37264077 42784681 49273353 111792231 128354043 147820059 335376693 385062129 1006130079 1155186387 3465559161 10396677483 31190032449