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145513532142 = 232113719862617
BaseRepresentation
bin1000011110000101001…
…0000100101011101110
3111220121002101022222100
42013201102010223232
54341002431012032
6150503055555530
713340650421016
oct2074122045356
9456532338870
10145513532142
1156791660480
122425022bba6
131094cc33154
1470859a8c46
153bb9cb597c
hex21e1484aee

145513532142 has 48 divisors (see below), whose sum is σ = 353236798512. Its totient is φ = 42903250560.

The previous prime is 145513532111. The next prime is 145513532167. The reversal of 145513532142 is 241235315541.

145513532142 is a `hidden beast` number, since 1 + 4 + 551 + 35 + 32 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145513532097 and 145513532106.

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 23 ways as a sum of consecutive naturals, for example, 9923983 + ... + 9938634.

It is an arithmetic number, because the mean of its divisors is an integer number (7359099969).

Almost surely, 2145513532142 is an apocalyptic number.

145513532142 is an abundant number, since it is smaller than the sum of its proper divisors (207723266370).

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

145513532142 is a wasteful number, since it uses less digits than its factorization.

145513532142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19862673 (or 19862670 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 145513532142 its reverse (241235315541), we get a palindrome (386748847683).

The spelling of 145513532142 in words is "one hundred forty-five billion, five hundred thirteen million, five hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 19862617 39725234 59587851 119175702 178763553 218488787 357527106 436977574 655466361 734916829 1310932722 1469833658 1966399083 2204750487 3932798166 4409500974 6614251461 8084085119 13228502922 16168170238 24252255357 48504510714 72756766071 145513532142