Search a number
-
+
34060140401300 = 225213127727283769
BaseRepresentation
bin1111011111010001111101…
…00100011101001010010100
311110121010011202011101112122
413233220332210131022110
513431020131420320200
6200235002410435112
710113523013361266
oct757507644351224
9143533152141478
1034060140401300
11a941908346312
1239a1100132a98
131600b1bab2a50
1485a73ba89b36
153e0eb09bc385
hex1efa3e91d294

34060140401300 has 144 divisors (see below), whose sum is σ = 80333298339840. Its totient is φ = 12459821552640.

The previous prime is 34060140401293. The next prime is 34060140401323. The reversal of 34060140401300 is 310404106043.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 34060140401300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119885816 + ... + 120169584.

It is an arithmetic number, because the mean of its divisors is an integer number (557870127360).

Almost surely, 234060140401300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34060140401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40166649169920).

34060140401300 is an abundant number, since it is smaller than the sum of its proper divisors (46273157938540).

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

34060140401300 is a wasteful number, since it uses less digits than its factorization.

34060140401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284650 (or 284643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 34060140401300 its reverse (310404106043), we get a palindrome (34370544507343).

The spelling of 34060140401300 in words is "thirty-four trillion, sixty billion, one hundred forty million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 127 130 254 260 325 508 635 650 727 1270 1300 1454 1651 2540 2908 3175 3302 3635 6350 6604 7270 8255 9451 12700 14540 16510 18175 18902 33020 36350 37804 41275 47255 72700 82550 92329 94510 165100 184658 189020 236275 283769 369316 461645 472550 567538 923290 945100 1135076 1200277 1418845 1846580 2308225 2400554 2837690 3688997 4616450 4801108 5675380 6001385 7094225 7377994 9232900 12002770 14188450 14755988 18444985 24005540 28376900 30006925 36038663 36889970 60013850 72077326 73779940 92224925 120027700 144154652 180193315 184449850 206300063 360386630 368899700 412600126 468502619 720773260 825200252 900966575 937005238 1031500315 1801933150 1874010476 2063000630 2342513095 2681900819 3603866300 4126001260 4685026190 5157501575 5363801638 9370052380 10315003150 10727603276 11712565475 13409504095 20630006300 23425130950 26200108001 26819008190 46850261900 52400216002 53638016380 67047520475 104800432004 131000540005 134095040950 262001080010 268190081900 340601404013 524002160020 655002700025 681202808026 1310005400050 1362405616052 1703007020065 2620010800100 3406014040130 6812028080260 8515035100325 17030070200650 34060140401300