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145106137917 = 32131240223401
BaseRepresentation
bin1000011100100011111…
…1111111001100111101
3111212112200210120011100
42013020333333030331
54334134132403132
6150354424043313
713324602551526
oct2071077771475
9455480716140
10145106137917
11565a26a5134
1224157903539
13108b6703090
14704783b84d
153b9414137c
hex21c8fff33d

145106137917 has 12 divisors (see below), whose sum is σ = 225720659164. Its totient is φ = 89296084800.

The previous prime is 145106137877. The next prime is 145106137961. The reversal of 145106137917 is 719731601541.

145106137917 is a `hidden beast` number, since 1 + 4 + 5 + 10 + 613 + 7 + 9 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90472217796 + 54633920121 = 300786^2 + 233739^2 .

It is not a de Polignac number, because 145106137917 - 220 = 145105089341 is a prime.

It is a super-2 number, since 2×1451061379172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145106137117) 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, 620111584 + ... + 620111817.

Almost surely, 2145106137917 is an apocalyptic number.

It is an amenable number.

145106137917 is a deficient number, since it is larger than the sum of its proper divisors (80614521247).

145106137917 is a wasteful number, since it uses less digits than its factorization.

145106137917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240223420 (or 1240223417 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 145106137917 in words is "one hundred forty-five billion, one hundred six million, one hundred thirty-seven thousand, nine hundred seventeen".

Divisors: 1 3 9 13 39 117 1240223401 3720670203 11162010609 16122904213 48368712639 145106137917