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145039867281 = 32372472732
BaseRepresentation
bin1000011100010100001…
…1001011110110010001
3111212101002002122221100
42013011003023312101
54334020201223111
6150344055415013
713323136346631
oct2070503136621
9455332078840
10145039867281
1156569251011
1224139684469
13108a5a6bb9a
14703cb0a6c1
153b8d400756
hex21c50cbd91

145039867281 has 81 divisors (see below), whose sum is σ = 223050898161. Its totient is φ = 90816868224.

The previous prime is 145039867261. The next prime is 145039867309. The reversal of 145039867281 is 182768930541.

The square root of 145039867281 is 380841.

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

145039867281 is a `hidden beast` number, since 1 + 450 + 39 + 86 + 7 + 2 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36179463681 + 108860403600 = 190209^2 + 329940^2 .

It is not a de Polignac number, because 145039867281 - 27 = 145039867153 is a prime.

It is a super-2 number, since 2×1450398672812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145039867261) 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 80 ways as a sum of consecutive naturals, for example, 1986847461 + ... + 1986847533.

It is a 1-persistent number, because it is pandigital, but 2⋅145039867281 = 290079734562 is not.

Almost surely, 2145039867281 is an apocalyptic number.

145039867281 is the 380841-st square number.

145039867281 is the 190421-st centered octagonal number.

It is an amenable number.

145039867281 is a deficient number, since it is larger than the sum of its proper divisors (78011030880).

145039867281 is an frugal number, since it uses more digits than its factorization.

145039867281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 145039867281 in words is "one hundred forty-five billion, thirty-nine million, eight hundred sixty-seven thousand, two hundred eighty-one".

Divisors: 1 3 9 37 47 73 111 141 219 333 423 657 1369 1739 2209 2701 3431 4107 5217 5329 6627 8103 10293 12321 15651 15987 19881 24309 30879 47961 64343 81733 99937 126947 161257 193029 197173 245199 250463 299811 380841 483771 579087 591519 735597 751389 899433 1142523 1451313 1774557 2254167 3024121 4697039 5966509 7295401 9072363 9267131 11771761 14091117 17899527 21886203 27217089 27801393 35315283 42273351 53698581 65658609 83404179 105945849 220760833 342883847 435555157 662282499 1028651541 1306665471 1986847497 3085954623 3919996413 16115540809 48346622427 145039867281