Search a number
-
+
531243350145 = 33543661138449
BaseRepresentation
bin1111011101100001001…
…00100011100010000001
31212210020021002100101000
413232300210203202001
532200441244201040
61044014432402213
753244463653624
oct7566044434201
91783207070330
10531243350145
11195332026932
1286b603a6369
133b132ca4a01
141b9d8843dbb
15dc439ac130
hex7bb0923881

531243350145 has 64 divisors (see below), whose sum is σ = 967865184000. Its totient is φ = 276320056320.

The previous prime is 531243350129. The next prime is 531243350147. The reversal of 531243350145 is 541053342135.

531243350145 is a `hidden beast` number, since 5 + 31 + 2 + 433 + 50 + 145 = 666.

It is not a de Polignac number, because 531243350145 - 24 = 531243350129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (531243350147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3767881 + ... + 3906329.

It is an arithmetic number, because the mean of its divisors is an integer number (15122893500).

Almost surely, 2531243350145 is an apocalyptic number.

It is an amenable number.

531243350145 is a deficient number, since it is larger than the sum of its proper divisors (436621833855).

531243350145 is a wasteful number, since it uses less digits than its factorization.

531243350145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139167 (or 139161 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 531243350145 in words is "five hundred thirty-one billion, two hundred forty-three million, three hundred fifty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 43 45 129 135 215 387 645 661 1161 1935 1983 3305 5805 5949 9915 17847 28423 29745 85269 89235 138449 142115 255807 415347 426345 692245 767421 1246041 1279035 2076735 3738123 3837105 5953307 6230205 17859921 18690615 29766535 53579763 89299605 91514789 160739289 267898815 274544367 457573945 803696445 823633101 1372721835 2470899303 3935135927 4118165505 11805407781 12354496515 19675679635 35416223343 59027038905 106248670029 177081116715 531243350145