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141085135314 = 23423291305691
BaseRepresentation
bin1000001101100101010…
…1000101000111010010
3111111011110120110120000
42003121111011013102
54302420243312224
6144451424030430
713123135602054
oct2033125050722
9444143513500
10141085135314
1154919976392
1223415162416
13103c5639ab6
146b857bb8d4
153a0b11d0c9
hex20d95451d2

141085135314 has 80 divisors (see below), whose sum is σ = 341255661120. Its totient is φ = 43432472160.

The previous prime is 141085135313. The next prime is 141085135339. The reversal of 141085135314 is 413531580141.

141085135314 is a `hidden beast` number, since 1 + 4 + 108 + 5 + 13 + 531 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (141085135313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 544792 + ... + 760899.

It is an arithmetic number, because the mean of its divisors is an integer number (4265695764).

Almost surely, 2141085135314 is an apocalyptic number.

141085135314 is an abundant number, since it is smaller than the sum of its proper divisors (200170525806).

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

141085135314 is a wasteful number, since it uses less digits than its factorization.

141085135314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305757 (or 1305748 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 141085135314 in words is "one hundred forty-one billion, eighty-five million, one hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 81 87 138 162 174 207 261 414 522 621 667 783 1242 1334 1566 1863 2001 2349 3726 4002 4698 6003 12006 18009 36018 54027 108054 1305691 2611382 3917073 7834146 11751219 23502438 30030893 35253657 37865039 60061786 70507314 75730078 90092679 105760971 113595117 180185358 211521942 227190234 270278037 340785351 540556074 681570702 810834111 870895897 1022356053 1621668222 1741791794 2044712106 2432502333 2612687691 3067068159 4865004666 5225375382 6134136318 7838063073 15676126146 23514189219 47028378438 70542567657 141085135314