135742035343416320

Names of 135742035343416320

• Cardinal: 135742035343416320 can be written as One hundred thirty-five quadrillion, seven hundred forty-two trillion, thirty-five billion, three hundred forty-three million, four hundred sixteen thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3574203534341632 × 10¹⁷

Factors of 135742035343416320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 539788

Divisors of 135742035343416320

• Number of divisors d(n): 264
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 512 520 560 640 728 832 896 910 1024 1040 1120 1280 1456 1664 1792 1820 2080 2240 2560 2912 3328 3584 3640 4160 4480 5120 5824 6656 7168 7280 8320 8960 11648 13312 14560 16640 17920 23296 29120 33280 35840 46592 58240 66560 93184 116480 232960 465920 539761 1079522 2159044 2698805 3778327 4318088 5397610 7016893 7556654 8636176 10795220 14033786 15113308 17272352 18891635 21590440 28067572 30226616 34544704 35084465 37783270 43180880 49118251 56135144 60453232 69089408 70168930 75566540 86361760 98236502 112270288 120906464 138178816 140337860 151133080 172723520 196473004 224540576 241812928 245591255 276357632 280675720 302266160 345447040 392946008 449081152 483625856 491182510 552715264 561351440 604532320 690894080 785892016 898162304 967251712 982365020 1122702880 1209064640 1381788160 1571784032 1796324608 1934503424 1964730040 2245405760 2418129280 2763576320 3143568064 3592649216 3869006848 3929460080 4490811520 4836258560 6287136128 7185298432 7858920160 8981623040 9672517120 12574272256 15717840320 17963246080 19345034240 25148544512 31435680640 35926492160 50297089024 62871361280 125742722560 251485445120 291341937121 582683874242 1165367748484 1456709685605 2039393559847 2330735496968 2913419371210 3787445182573 4078787119694 4661470993936 5826838742420 7574890365146 8157574239388 9322941987872 10196967799235 11653677484840 15149780730292 16315148478776 18645883975744 18937225912865 20393935598470 23307354969680 26512116278011 30299561460584 32630296957552 37291767951488 37874451825730 40787871196940 46614709939360 53024232556022 60599122921168 65260593915104 74583535902976 75748903651460 81575742393880 93229419878720 106048465112044 121198245842336 130521187830208 132560581390055 149167071805952 151497807302920 163151484787760 186458839757440 212096930224088 242396491684672 261042375660416 265121162780110 298334143611904 302995614605840 326302969575520 372917679514880 424193860448176 484792983369344 522084751320832 530242325560220 605991229211680 652605939151040 745835359029760 848387720896352 969585966738688 1044169502641664 1060484651120440 1211982458423360 1305211878302080 1491670718059520 1696775441792704 1939171933477376 2088339005283328 2120969302240880 2423964916846720 2610423756604160 3393550883585408 3878343866954752 4241938604481760 4847929833693440 5220847513208320 6787101767170816 8483877208963520 9695859667386880 10441695026416640 13574203534341632 16967754417927040 19391719334773760 27148407068683264 33935508835854080 67871017671708160 135742035343416320
• Sum of all divisors σ(n): 400766049720624672
• Sum of proper divisors (its aliquot sum) s(n): 265024014377208352
• 135742035343416320 is an abundant number, because the sum of its proper divisors (265024014377208352) is greater than itself. Its abundance is 129281979033792032

Bases of 135742035343416320

• Binary: 111100010010000001010100101110101101110111001110000000000₂
• Hexadecimal: 0x1E240A975BB9C00
• Base-36: 114KJA5RZ6RK

Squares and roots of 135742035343416320

• 135742035343416320 squared (135742035343416320²) is 18425900159173285375957168842342400
• 135742035343416320 cubed (135742035343416320³) is 2501169190640760499918870077619178944239887187968000
• The square root of 135742035343416320 is 368431859.8376317401
• The cube root of 135742035343416320 is 513930.9653879647

Scales and comparisons

• 135,742,035,343,416,320 seconds is equal to 4,316,176,846 years, 12 weeks, 2 days, 6 hours, 45 minutes, 20 seconds.
• To count from 1 to 135,742,035,343,416,320 would take you about twelve billion, nine hundred forty-eight million, five hundred thirty thousand, five hundred thirty-eight 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 135742035343416320 cubic inches would be around 42827.6 feet tall.

Recreational maths with 135742035343416320

• 135742035343416320 backwards is 023614343530247531
• 135742035343416320 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 135742035343416320's digits is 56
• More coming soon!