13052517498413120

Names of 13052517498413120

• Cardinal: 13052517498413120 can be written as Thirteen quadrillion, fifty-two trillion, five hundred seventeen billion, four hundred ninety-eight million, four hundred thirteen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.305251749841312 × 10¹⁶

Factors of 13052517498413120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 13592963

Divisors of 13052517498413120

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 64 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 320 343 364 392 416 448 455 490 520 560 637 673 686 728 784 832 910 980 1040 1120 1274 1346 1372 1456 1568 1715 1820 1960 2080 2240 2548 2692 2744 2912 3136 3185 3365 3430 3640 3920 4160 4459 4711 5096 5384 5488 5824 6370 6730 6860 7280 7840 8749 8918 9422 10192 10768 10976 12740 13460 13720 14560 15680 17498 17836 18844 20384 21536 21952 22295 23555 25480 26920 27440 29120 32977 34996 35672 37688 40768 43072 43745 44590 47110 50960 53840 54880 61243 65954 69992 71344 75376 87490 89180 94220 101920 107680 109760 122486 131908 139984 142688 150752 164885 174980 178360 188440 203840 215360 230839 244972 263816 279968 285376 301504 306215 329770 349960 356720 376880 428701 461678 489944 527632 559936 612430 659540 699920 713440 753760 857402 923356 979888 1055264 1154195 1224860 1319080 1399840 1426880 1507520 1714804 1846712 1959776 2110528 2143505 2308390 2449720 2638160 2799680 3000907 3429608 3693424 3919552 4287010 4616780 4899440 5276320 6001814 6859216 7386848 8574020 9233560 9798880 10552640 12003628 13592263 13718432 14773696 15004535 17148040 18467120 19597760 24007256 27184526 27436864 30009070 34296080 36934240 48014512 54369052 60018140 67961315 68592160 73868480 95145841 96029024 108738104 120036280 135922630 137184320 176699419 190291682 192058048 217476208 240072560 271845260 353398838 380583364 434952416 475729205 480145120 543690520 666020887 706797676 761166728 869904832 883497095 951458410 960290240 1087381040 1236895933 1332041774 1413595352 1522333456 1766994190 1902916820 2174762080 2473791866 2664083548 2827190704 3044666912 3330104435 3533988380 3805833640 4349524160 4662146209 4947583732 5328167096 5654381408 6089333824 6184479665 6660208870 7067976760 7611667280 8658271531 9147592999 9324292418 9895167464 10656334192 11308762816 12368959330 13320417740 14135953520 15223334560 17316543062 18295185998 18648584836 19790334928 21312668384 23310731045 24737918660 26640835480 28271907040 30446669120 34633086124 36590371996 37297169672 39580669856 42625336768 43291357655 45737964995 46621462090 49475837320 53281670960 56543814080 60607900717 64033150993 69266172248 73180743992 74594339344 79161339712 86582715310 91475929990 93242924180 98951674640 106563341920 118918708987 121215801434 128066301986 138532344496 146361487984 149188678688 173165430620 182951859980 186485848360 197903349280 213126683840 237837417974 242431602868 256132603972 277064688992 292722975968 298377357376 303039503585 320165754965 346330861240 365903719960 372971696720 395806698560 448232056951 475674835948 484863205736 512265207944 554129377984 585445951936 594593544935 606079007170 640331509930 692661722480 731807439920 745943393440 832430962909 896464113902 951349671896 969726411472 1024530415888 1189187089870 1212158014340 1280663019860 1385323444960 1463614879840 1491886786880 1664861925818 1792928227804 1902699343792 1939452822944 2049060831776 2241160284755 2378374179740 2424316028680 2561326039720 2770646889920 2927229759680 3137624398657 3329723851636 3585856455608 3805398687584 3878905645888 4098121663552 4162154814545 4482320569510 4756748359480 4848632057360 5122652079440 5827016740363 6275248797314 6659447703272 7171712911216 7610797375168 8324309629090 8964641139020 9513496718960 9697264114720 10245304158880 11654033480726 12550497594628 13318895406544 14343425822432 15688121993285 16648619258180 17929282278040 19026993437920 19394528229440 20490608317760 23308066961452 25100995189256 26637790813088 28686851644864 29135083701815 31376243986570 33297238516360 35858564556080 38053986875840 40789117182541 46616133922904 50201990378512 53275581626176 58270167403630 62752487973140 66594477032720 71717129112160 81578234365082 93232267845808 100403980757024 116540334807260 125504975946280 133188954065440 143434258224320 163156468730164 186464535691616 200807961514048 203945585912705 233080669614520 251009951892560 266377908130880 326312937460328 372929071383232 407891171825410 466161339229040 502019903785120 652625874920656 815782343650820 932322678458080 1004039807570240 1305251749841312 1631564687301640 1864645356916160 2610503499682624 3263129374603280 6526258749206560 13052517498413120
• Sum of all divisors σ(n): 39092612626099200
• Sum of proper divisors (its aliquot sum) s(n): 26040095127686080
• 13052517498413120 is an abundant number, because the sum of its proper divisors (26040095127686080) is greater than itself. Its abundance is 12987577629272960

Bases of 13052517498413120

• Binary: 101110010111110011001000001100111010101110000001000000₂
• Hexadecimal: 0x2E5F320CEAE040
• Base-36: 3KIQBRCJG3K

Squares and roots of 13052517498413120

• 13052517498413120 squared (13052517498413120²) is 170368213046380692061718188134400
• 13052517498413120 cubed (13052517498413120³) is 2223734081961258384878647138073648993613283328000
• The square root of 13052517498413120 is 114247614.8478081795
• The cube root of 13052517498413120 is 235449.6746722889

Scales and comparisons

• 13,052,517,498,413,120 seconds is equal to 415,029,682 years, 18 weeks, 5 days, 18 hours, 45 minutes, 20 seconds.
• To count from 1 to 13,052,517,498,413,120 would take you about one billion, two hundred forty-five million, eighty-nine thousand and forty-seven years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 13052517498413120 cubic inches would be around 19620.8 feet tall.

Recreational maths with 13052517498413120

• 13052517498413120 backwards is 02131489471525031
• 13052517498413120 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13052517498413120's digits is 56
• More coming soon!