135122136461760

Names of 135122136461760

• Cardinal: 135122136461760 can be written as One hundred thirty-five trillion, one hundred twenty-two billion, one hundred thirty-six million, four hundred sixty-one thousand, seven hundred sixty.

Scientific notation

• Scientific notation: 1.3512213646176 × 10¹⁴

Factors of 135122136461760

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 612222

Divisors of 135122136461760

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 71 80 84 96 105 112 120 140 142 160 168 192 210 213 224 240 280 284 320 336 355 420 426 448 463 480 497 560 568 672 710 840 852 926 960 994 1065 1120 1136 1344 1389 1420 1491 1680 1704 1852 1988 2130 2240 2272 2315 2485 2778 2840 2982 3241 3360 3408 3704 3976 4260 4544 4630 4970 5556 5680 5964 6482 6720 6816 6945 7408 7455 7952 8520 9260 9723 9940 11112 11360 11928 12964 13632 13890 14816 14910 15904 16205 17040 18520 19446 19880 22224 22720 23856 25928 27780 29632 29820 31808 32410 32873 34080 37040 38892 39760 44448 47712 48615 51856 55560 59640 64820 65746 68160 74080 77784 79520 88896 95424 97230 98619 103712 111120 119280 129640 131492 148160 155568 159040 164365 194460 197238 207424 222240 230111 238560 259280 262984 311136 328730 388920 394476 444480 460222 477120 493095 518560 525968 611671 622272 657460 690333 777840 788952 920444 986190 1037120 1051936 1150555 1223342 1314920 1380666 1555680 1577904 1835013 1840888 1972380 2103872 2301110 2446684 2629840 2761332 3058355 3111360 3155808 3451665 3670026 3681776 3944760 4281697 4602220 4893368 5259680 5522664 6116710 6311616 6903330 7340052 7363552 7889520 8563394 9175065 9204440 9786736 10519360 11045328 12233420 12845091 13806660 14680104 14727104 15779040 17126788 18350130 18408880 19573472 21408485 22090656 24466840 25690182 27613320 29360208 31558080 34253576 36700260 36817760 39146944 42816970 43428641 44181312 48933680 51380364 55226640 58720416 64225455 68507152 73400520 73635520 85633940 86857282 97867360 102760728 110453280 117440832 128450910 130285923 137014304 146801040 171267880 173714564 195734720 205521456 217143205 220906560 256901820 260571846 274028608 283203673 293602080 304000487 342535760 347429128 411042912 434286410 513803640 521143692 566407346 587204160 608000974 651429615 685071520 694858256 822085824 849611019 868572820 912001461 1027607280 1042287384 1132814692 1216001948 1302859230 1370143040 1389716512 1416018365 1520002435 1699222038 1737145640 1824002922 1982425711 2055214560 2084574768 2265629384 2432003896 2605718460 2779433024 2832036730 3040004870 3398444076 3474291280 3648005844 3964851422 4110429120 4169149536 4248055095 4531258768 4560007305 4864007792 5211436920 5664073460 5947277133 6080009740 6796888152 6948582560 7296011688 7929702844 8338299072 8496110190 9062517536 9120014610 9728015584 9912128555 10422873840 11328146920 11894554266 12160019480 13593776304 13897165120 14592023376 15859405688 16992220380 18125035072 18240029220 19456031168 19824257110 20107460783 20845747680 22656293840 23789108532 24320038960 27187552608 29184046752 29736385665 31718811376 33984440760 36480058440 39648514220 40214921566 41691495360 45312587680 47578217064 48640077920 54375105216 58368093504 59472771330 60322382349 63437622752 67968881520 72960116880 79297028440 80429843132 90625175360 95156434128 97280155840 100537303915 118945542660 120644764698 126875245504 135937763040 140752225481 145920233760 158594056880 160859686264 190312868256 201074607830 237891085320 241289529396 271875526080 281504450962 291840467520 301611911745 317188113760 321719372528 380625736512 402149215660 422256676443 475782170640 482579058792 563008901924 603223823490 634376227520 643438745056 703761127405 804298431320 844513352886 951564341280 965158117584 1126017803848 1206447646980 1286877490112 1407522254810 1608596862640 1689026705772 1903128682560 1930316235168 2111283382215 2252035607696 2412895293960 2815044509620 3217193725280 3378053411544 3860632470336 4222566764430 4504071215392 4825790587920 5630089019240 6434387450560 6756106823088 8445133528860 9008142430784 9651581175840 11260178038480 13512213646176 16890267057720 19303162351680 22520356076960 27024427292352 33780534115440 45040712153920 67561068230880 135122136461760
• Sum of all divisors σ(n): 498280655683584
• Sum of proper divisors (its aliquot sum) s(n): 363158519221824
• 135122136461760 is an abundant number, because the sum of its proper divisors (363158519221824) is greater than itself. Its abundance is 228036382760064

Bases of 135122136461760

• Binary: 11110101110010010010010111100011111000111000000₂
• Hexadecimal: 0x7AE492F1F1C0
• Base-36: 1BWA93ARPC

Squares and roots of 135122136461760

• 135122136461760 squared (135122136461760²) is 18257991761990491251942297600
• 135122136461760 cubed (135122136461760³) is 2467058854381369065668486640956548939776000
• The square root of 135122136461760 is 11624204.7668543763
• The cube root of 135122136461760 is 51314.7441380879

Scales and comparisons

• 135,122,136,461,760 seconds is equal to 4,296,465 years, 50 weeks, 6 days, 10 hours, 56 minutes.
• To count from 1 to 135,122,136,461,760 would take you about ten million, seven hundred forty-one thousand, one hundred sixty-four 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 135122136461760 cubic inches would be around 4276.2 feet tall.

Recreational maths with 135122136461760

• 135122136461760 backwards is 067164631221531
• 135122136461760 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135122136461760's digits is 48
• More coming soon!