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145065707171 = 71131433474073
BaseRepresentation
bin1000011100011010010…
…1110000011010100011
3111212102212201110121022
42013012211300122203
54334043310112141
6150350421320055
713323602110610
oct2070645603243
9455385643538
10145065707171
115658189a9a0
122414626602b
13108ab218468
147042315507
153b90806b4b
hex21c69706a3

145065707171 has 64 divisors (see below), whose sum is σ = 191634702336. Its totient is φ = 106513747200.

The previous prime is 145065707153. The next prime is 145065707183. The reversal of 145065707171 is 171707560541.

It is a de Polignac number, because none of the positive numbers 2k-145065707171 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145065707131) 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 63 ways as a sum of consecutive naturals, for example, 35614391 + ... + 35618463.

It is an arithmetic number, because the mean of its divisors is an integer number (2994292224).

Almost surely, 2145065707171 is an apocalyptic number.

145065707171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145065707171 is a deficient number, since it is larger than the sum of its proper divisors (46568995165).

145065707171 is a wasteful number, since it uses less digits than its factorization.

145065707171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512.

The product of its (nonzero) digits is 205800, while the sum is 44.

The spelling of 145065707171 in words is "one hundred forty-five billion, sixty-five million, seven hundred seven thousand, one hundred seventy-one".

Divisors: 1 7 11 31 43 77 217 301 341 347 473 1333 2387 2429 3311 3817 4073 9331 10757 14663 14921 26719 28511 44803 75299 102641 104447 118327 126263 164131 175139 313621 462551 828289 883841 1148917 1225973 1388893 1413331 1926529 3237857 5088061 5429309 9722251 9893317 13485703 15546641 35616427 38005163 43813261 59722399 60773233 108826487 306692827 418056793 425412631 481945871 668505563 1883970223 3373621097 4679538941 13187791561 20723672453 145065707171