3402157744128

Names of 3402157744128

• Cardinal: 3402157744128 can be written as Three trillion, four hundred two billion, one hundred fifty-seven million, seven hundred forty-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.402157744128 × 10¹²

Factors of 3402157744128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 801

Divisors of 3402157744128

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 113 128 132 143 156 169 176 192 208 226 256 264 286 312 338 339 352 384 416 429 452 507 512 528 572 624 659 676 678 704 768 832 858 904 1014 1024 1056 1144 1243 1248 1318 1352 1356 1408 1469 1536 1664 1716 1808 1859 1977 2028 2048 2112 2288 2486 2496 2636 2704 2712 2816 2938 3072 3328 3432 3616 3718 3729 3954 4056 4096 4224 4407 4576 4972 4992 5272 5408 5424 5577 5632 5876 6144 6656 6864 7232 7249 7436 7458 7908 8112 8192 8448 8567 8814 9152 9944 9984 10544 10816 10848 11154 11264 11752 12288 13312 13728 14464 14498 14872 14916 15816 16159 16224 16896 17134 17628 18304 19097 19888 19968 21088 21632 21696 21747 22308 22528 23504 24576 25701 26624 27456 28928 28996 29744 29832 31632 32318 32448 33792 34268 35256 36608 38194 39776 39936 42176 43264 43392 43494 44616 45056 47008 48477 51402 53248 54912 57291 57856 57992 59488 59664 63264 64636 64896 67584 68536 70512 73216 74467 76388 79552 79872 84352 86528 86784 86988 89232 90112 94016 94237 96954 102804 106496 109824 111371 114582 115712 115984 118976 119328 126528 129272 129792 135168 137072 141024 146432 148934 152776 159104 159744 168704 173056 173568 173976 178464 188032 188474 193908 205608 210067 219648 222742 223401 229164 231424 231968 237952 238656 253056 258544 259584 270336 274144 282048 282711 292864 297868 305552 318208 319488 334113 337408 346112 347136 347952 356928 376064 376948 387816 411216 420134 439296 445484 446802 458328 462848 463936 475904 477312 506112 517088 519168 548288 564096 565422 585728 595736 611104 630201 636416 668226 674816 692224 694272 695904 713856 752128 753896 775632 819137 822432 840268 878592 890968 893604 916656 925696 927872 951808 954624 968071 1012224 1034176 1038336 1096576 1128192 1130844 1171456 1191472 1222208 1225081 1260402 1272832 1336452 1349632 1384448 1388544 1391808 1427712 1504256 1507792 1551264 1638274 1644864 1680536 1757184 1781936 1787208 1833312 1855744 1903616 1909248 1936142 2024448 2068352 2076672 2193152 2256384 2261688 2382944 2444416 2450162 2457411 2520804 2545664 2672904 2699264 2777088 2783616 2855424 2904213 3008512 3015584 3102528 3276548 3289728 3361072 3514368 3563872 3574416 3666624 3675243 3711488 3807232 3818496 3872284 4048896 4136704 4153344 4386304 4512768 4523376 4765888 4888832 4900324 4914822 5041608 5091328 5345808 5398528 5567232 5710848 5808426 6017024 6031168 6205056 6553096 6579456 6722144 7127744 7148832 7333248 7350486 7422976 7614464 7636992 7744568 8097792 8273408 8772608 9025536 9046752 9531776 9777664 9800648 9829644 10083216 10182656 10648781 10691616 11134464 11421696 11616852 12034048 12062336 12410112 12584923 13106192 13158912 13444288 14255488 14297664 14666496 14700972 14845952 15228928 15273984 15489136 16195584 16546816 17545216 18051072 18093504 19063552 19555328 19601296 19659288 20166432 21297562 21383232 22268928 22843392 23233704 24124672 24820224 25169846 26212384 26317824 26888576 28510976 28595328 29332992 29401944 29691904 30547968 30978272 31946343 33093632 35090432 36102144 36187008 37754769 38127104 39110656 39202592 39318576 40332864 42595124 42766464 44537856 45686784 46467408 48249344 49640448 50339692 52424768 52635648 53777152 57021952 57190656 58665984 58803888 59383808 61956544 63892686 66187264 70180864 72374016 75509538 76254208 78221312 78405184 78637152 80665728 85190248 85532928 89075712 92934816 96498688 99280896 100679384 104849536 105271296 107554304 114043904 114381312 117331968 117607776 123913088 127785372 132374528 138434153 144748032 151019076 152508416 156442624 156810368 157274304 161331456 170380496 171065856 178151424 185869632 192997376 198561792 201358768 209699072 210542592 215108608 228087808 228762624 234663936 235215552 247826176 255570744 276868306 289496064 302038152 305016832 313620736 314548608 322662912 340760992 342131712 371739264 385994752 397123584 402717536 415302459 419398144 430217216 456175616 457525248 469327872 470431104 495652352 511141488 553736612 578992128 604076304 610033664 627241472 629097216 645325824 681521984 684263424 743478528 771989504 805435072 830604918 838796288 860434432 912351232 915050496 940862208 991304704 1022282976 1107473224 1157984256 1208152608 1254482944 1258194432 1290651648 1363043968 1368526848 1486957056 1610870144 1661209836 1677592576 1720868864 1830100992 1881724416 1982609408 2044565952 2214946448 2315968512 2416305216 2508965888 2516388864 2581303296 2726087936 2737053696 2973914112 3221740288 3322419672 3355185152 3763448832 3965218816 4089131904 4429892896 4832610432 5017931776 5032777728 5162606592 5452175872 5947828224 6443480576 6644839344 6710370304 7526897664 7930437632 8178263808 8859785792 9665220864 10035863552 10065555456 10904351744 11895656448 12886961152 13289678688 15053795328 16356527616 17719571584 19330441728 20131110912 21808703488 23791312896 25773922304 26579357376 30107590656 32713055232 35439143168 38660883456 43617406976 51547844608 53158714752 65426110464 70878286336 77321766912 87234813952 103095689216 106317429504 130852220928 141756572672 154643533824 212634859008 261704441856 283513145344 309287067648 425269718016 567026290688 850539436032 1134052581376 1701078872064 3402157744128
• Sum of all divisors σ(n): 10827658385280
• Sum of proper divisors (its aliquot sum) s(n): 7425500641152
• 3402157744128 is an abundant number, because the sum of its proper divisors (7425500641152) is greater than itself. Its abundance is 4023342897024

Bases of 3402157744128

• Binary: 110001100000100000011001110110000000000000₂
• Hexadecimal: 0x31820676000
• Base-36: 17EXGVO5C

Squares and roots of 3402157744128

• 3402157744128 squared (3402157744128²) is 11574677315930121918480384
• 3402157744128 cubed (3402157744128³) is 39378878066174357544261230743259185152
• The square root of 3402157744128 is 1844493.8991842721
• The cube root of 3402157744128 is 15040.1262581825

Scales and comparisons

• 3,402,157,744,128 seconds is equal to 108,178 years, 4 weeks, 5 days, 17 hours, 48 minutes, 48 seconds.
• To count from 1 to 3,402,157,744,128 would take you about two hundred seventy thousand, four hundred forty-five 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 3402157744128 cubic inches would be around 1253.3 feet tall.

Recreational maths with 3402157744128

• 3402157744128 backwards is 8214477512043
• 3402157744128 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3402157744128's digits is 48
• More coming soon!