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145505315142 = 23311244958443
BaseRepresentation
bin1000011110000011001…
…0101110100101000110
3111220120111220212101000
42013200302232211012
54340443330041032
6150502203514130
713340520525525
oct2074062564506
9456514825330
10145505315142
1156787a58970
1224249528946
131094b317015
14708486a4bc
153bb91e0e7c
hex21e0cae946

145505315142 has 32 divisors (see below), whose sum is σ = 352740159360. Its totient is φ = 44092519560.

The previous prime is 145505315129. The next prime is 145505315149. The reversal of 145505315142 is 241513505541.

145505315142 is a `hidden beast` number, since 1 + 4 + 5 + 505 + 3 + 1 + 5 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145505315097 and 145505315106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145505315149) 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 15 ways as a sum of consecutive naturals, for example, 122478628 + ... + 122479815.

It is an arithmetic number, because the mean of its divisors is an integer number (11023129980).

Almost surely, 2145505315142 is an apocalyptic number.

145505315142 is an abundant number, since it is smaller than the sum of its proper divisors (207234844218).

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

145505315142 is a wasteful number, since it uses less digits than its factorization.

145505315142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244958465 (or 244958459 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 145505315142 in words is "one hundred forty-five billion, five hundred five million, three hundred fifteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 244958443 489916886 734875329 1469750658 2204625987 2694542873 4409251974 5389085746 6613877961 8083628619 13227755922 16167257238 24250885857 48501771714 72752657571 145505315142