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145124305326 = 232711138054407
BaseRepresentation
bin1000011100101000010…
…1010010100110101110
3111212120221222120011100
42013022011102212232
54334203310232301
6150400313303530
713325213145660
oct2071205224656
9455527876140
10145124305326
1156601983620
1224161a04ba6
13108ba3c4320
14704a00a530
153b95a2e286
hex21ca1529ae

145124305326 has 96 divisors (see below), whose sum is σ = 422179849728. Its totient is φ = 34795033920.

The previous prime is 145124305303. The next prime is 145124305369. The reversal of 145124305326 is 623503421541.

145124305326 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 24 + 305 + 326 = 666.

It is a super-2 number, since 2×1451243053262 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4009186 + ... + 4045221.

It is an arithmetic number, because the mean of its divisors is an integer number (4397706768).

Almost surely, 2145124305326 is an apocalyptic number.

145124305326 is an abundant number, since it is smaller than the sum of its proper divisors (277055544402).

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

145124305326 is a wasteful number, since it uses less digits than its factorization.

145124305326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054446 (or 8054443 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 145124305326 its reverse (623503421541), we get a palindrome (768627726867).

The spelling of 145124305326 in words is "one hundred forty-five billion, one hundred twenty-four million, three hundred five thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 8054407 16108814 24163221 48326442 56380849 72489663 88598477 104707291 112761698 144979326 169142547 177196954 209414582 265795431 314121873 338285094 507427641 531590862 620189339 628243746 732951037 797386293 942365619 1014855282 1151780201 1240378678 1465902074 1594772586 1860568017 1884731238 2198853111 2303560402 3455340603 3721136034 4397706222 5581704051 6596559333 6910681206 8062461407 10366021809 11163408102 13193118666 16124922814 20732043618 24187384221 48374768442 72562152663 145124305326