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68340431271 = 3723137409991
BaseRepresentation
bin111111101001011010…
…000011100110100111
320112101202120121120010
4333221122003212213
52104430122300041
651221204341303
74636353036600
oct775132034647
9215352517503
1068340431271
1126a8a434572
12112b30a4833
1365a1686018
143444456da7
151b9ea96a16
hexfe96839a7

68340431271 has 96 divisors (see below), whose sum is σ = 112762306560. Its totient is φ = 36643622400.

The previous prime is 68340431261. The next prime is 68340431293. The reversal of 68340431271 is 17213404386.

It is not a de Polignac number, because 68340431271 - 230 = 67266689447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68340431261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68960586 + ... + 68961576.

It is an arithmetic number, because the mean of its divisors is an integer number (1174607360).

Almost surely, 268340431271 is an apocalyptic number.

68340431271 is a deficient number, since it is larger than the sum of its proper divisors (44421875289).

68340431271 is a wasteful number, since it uses less digits than its factorization.

68340431271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 68340431271 in words is "sixty-eight billion, three hundred forty million, four hundred thirty-one thousand, two hundred seventy-one".

Divisors: 1 3 7 21 31 37 49 93 111 147 217 259 409 651 777 991 1147 1227 1519 1813 2863 2973 3441 4557 5439 6937 8029 8589 12679 15133 20041 20811 24087 30721 36667 38037 45399 48559 56203 60123 88753 92163 105931 110001 145677 168609 215047 256669 266259 317793 405319 469123 621271 645141 741517 770007 1136677 1215957 1407369 1505329 1796683 1863813 2224551 2837233 3283861 3410031 4515987 5390049 7956739 8511699 9851583 12564889 14996803 19860631 22987027 23870217 37694667 44990409 55697173 59581893 68961081 87954223 104977621 167091519 263862669 314932863 464900893 615679561 734843347 1394702679 1847038683 2204530041 3254306251 9762918753 22780143757 68340431271