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145303015041 = 32124871292927
BaseRepresentation
bin1000011101010010111…
…1000000111010000001
3111220001102020221210200
42013110233000322001
54340040032440131
6150430135515413
713332513151362
oct2072457007201
9456042227720
10145303015041
11566938448a8
12241b1828b69
1310918435b12
147065a49b69
153ba65802e6
hex21d4bc0e81

145303015041 has 12 divisors (see below), whose sum is σ = 209899103232. Its totient is φ = 96860844216.

The previous prime is 145303015001. The next prime is 145303015049. The reversal of 145303015041 is 140510303541.

It is a happy number.

145303015041 is a `hidden beast` number, since 14 + 530 + 30 + 1 + 50 + 41 = 666.

It is not a de Polignac number, because 145303015041 - 217 = 145302883969 is a prime.

It is a super-3 number, since 3×1453030150413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 145303014996 and 145303015014.

It is not an unprimeable number, because it can be changed into a prime (145303015049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534081 + ... + 758846.

It is an arithmetic number, because the mean of its divisors is an integer number (17491591936).

Almost surely, 2145303015041 is an apocalyptic number.

It is an amenable number.

145303015041 is a deficient number, since it is larger than the sum of its proper divisors (64596088191).

145303015041 is a wasteful number, since it uses less digits than its factorization.

145303015041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305420 (or 1305417 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 145303015041 its reverse (140510303541), we get a palindrome (285813318582).

The spelling of 145303015041 in words is "one hundred forty-five billion, three hundred three million, fifteen thousand, forty-one".

Divisors: 1 3 9 12487 37461 112383 1292927 3878781 11636343 16144779449 48434338347 145303015041