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34051106731239 = 3413155692077027
BaseRepresentation
bin1111011111000001001000…
…00111101111010011100111
311110120020212011201101220000
413233200210013233103213
513430343131310344424
6200230510143512343
710113053111424633
oct757404407572347
9143506764641800
1034051106731239
11a938aa2048294
12399b3ba8b86b3
13160000c374150
1485a121dcbdc3
153e0b3288e3c9
hex1ef8241ef4e7

34051106731239 has 40 divisors (see below), whose sum is σ = 54782818176240. Its totient is φ = 20953171217664.

The previous prime is 34051106731091. The next prime is 34051106731331. The reversal of 34051106731239 is 93213760115043.

34051106731239 is a `hidden beast` number, since 3 + 4 + 0 + 511 + 0 + 6 + 7 + 3 + 123 + 9 = 666.

It is not a de Polignac number, because 34051106731239 - 217 = 34051106600167 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34051106731194 and 34051106731203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34051106731339) 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, 15355644 + ... + 17432670.

It is an arithmetic number, because the mean of its divisors is an integer number (1369570454406).

Almost surely, 234051106731239 is an apocalyptic number.

34051106731239 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

34051106731239 is a deficient number, since it is larger than the sum of its proper divisors (20731711445001).

34051106731239 is a wasteful number, since it uses less digits than its factorization.

34051106731239 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092621 (or 2092612 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 34051106731239 in words is "thirty-four trillion, fifty-one billion, one hundred six million, seven hundred thirty-one thousand, two hundred thirty-nine".

Divisors: 1 3 9 13 27 39 81 117 351 1053 15569 46707 140121 202397 420363 607191 1261089 1821573 2077027 5464719 6231081 16394157 18693243 27001351 56079729 81004053 168239187 243012159 729036477 2187109431 32337233363 97011700089 291035100267 420384033719 873105300801 1261152101157 2619315902403 3783456303471 11350368910413 34051106731239