Search a number
-
+
134297630217680 = 24517547214184319
BaseRepresentation
bin11110100010010010011010…
…100010110001010111010000
3122121111201122202110121020112
4132202102122202301113100
5120100313021313431210
61153343251332300452
740200453320630006
oct3642223242612720
9577451582417215
10134297630217680
113987833a142606
121308b944771728
1359c229b243957
14252407ba08a76
15107d5c9b59d05
hex7a249a8b15d0

134297630217680 has 160 divisors (see below), whose sum is σ = 331372200821760. Its totient is φ = 50442508247040.

The previous prime is 134297630217677. The next prime is 134297630217703. The reversal of 134297630217680 is 86712036792431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592690561 + ... + 1592774879.

It is an arithmetic number, because the mean of its divisors is an integer number (2071076255136).

Almost surely, 2134297630217680 is an apocalyptic number.

134297630217680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134297630217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165686100410880).

134297630217680 is an abundant number, since it is smaller than the sum of its proper divisors (197074570604080).

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

134297630217680 is a wasteful number, since it uses less digits than its factorization.

134297630217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87037 (or 87031 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 59.

The spelling of 134297630217680 in words is "one hundred thirty-four trillion, two hundred ninety-seven billion, six hundred thirty million, two hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 547 680 1094 1360 2141 2188 2735 4282 4376 5470 8564 8752 9299 10705 10940 17128 18598 21410 21880 34256 36397 37196 42820 43760 46495 72794 74392 84319 85640 92990 145588 148784 168638 171280 181985 185980 291176 337276 363970 371960 421595 582352 674552 727940 743920 843190 1171127 1349104 1433423 1455880 1686380 2342254 2866846 2911760 3372760 4684508 5733692 5855635 6745520 7167115 9369016 11467384 11711270 14334230 18738032 19909159 22934768 23422540 28668460 39818318 46122493 46845080 57336920 79636636 92244986 93690160 99545795 114673840 159273272 180526979 184489972 199091590 230612465 318546544 361053958 368979944 398183180 461224930 722107916 737959888 784082381 796366360 902634895 922449860 1444215832 1568164762 1592732720 1805269790 1844899720 2888431664 3068958643 3136329524 3610539580 3689799440 3920411905 6137917286 6272659048 7221079160 7840823810 12275834572 12545318096 14442158320 15344793215 15681647620 24551669144 30689586430 31363295240 49103338288 61379172860 62726590480 98748257513 122758345720 197496515026 245516691440 394993030052 493741287565 789986060104 987482575130 1579972120208 1678720377721 1974965150260 3357440755442 3949930300520 6714881510884 7899860601040 8393601888605 13429763021768 16787203777210 26859526043536 33574407554420 67148815108840 134297630217680