34142377402368

Names of 34142377402368

• Cardinal: 34142377402368 can be written as Thirty-four trillion, one hundred forty-two billion, three hundred seventy-seven million, four hundred two thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 3.4142377402368 × 10¹³

Factors of 34142377402368

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 8634

Divisors of 34142377402368

• Number of divisors d(n): 560
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 103 108 118 128 144 162 177 192 206 216 236 256 288 309 324 354 384 412 432 472 512 531 576 618 648 708 768 824 864 927 944 1024 1062 1152 1236 1296 1416 1536 1593 1648 1728 1854 1888 2048 2124 2304 2472 2592 2781 2832 3072 3186 3296 3456 3708 3776 4096 4248 4608 4779 4944 5184 5562 5664 6077 6144 6372 6592 6912 7416 7552 8192 8343 8467 8496 9216 9558 9888 10368 11124 11328 12154 12288 12744 13184 13824 14832 15104 16686 16934 16992 18231 18432 19116 19776 20736 22248 22656 24308 24576 25401 25488 26368 27648 29664 30208 33372 33868 33984 36462 36864 38232 39552 41472 44496 45312 48616 50802 50976 52736 54693 55296 59328 60416 66744 67736 67968 72924 73728 76203 76464 79104 82944 88992 90624 97232 101604 101952 105472 109386 110592 118656 120832 133488 135472 135936 145848 152406 152928 158208 164079 165888 177984 181248 194464 203208 203904 210944 218772 221184 228609 237312 241664 266976 270944 271872 291696 304812 305856 316416 328158 331776 355968 362496 388928 406416 407808 421888 437544 457218 474624 483328 492237 499553 533952 541888 543744 583392 609624 611712 632832 656316 663552 685827 711936 724992 777856 812832 815616 843776 872101 875088 914436 949248 984474 999106 1067904 1083776 1087488 1166784 1219248 1223424 1265664 1312632 1371654 1423872 1449984 1498659 1555712 1625664 1631232 1744202 1750176 1828872 1898496 1968948 1998212 2135808 2167552 2174976 2333568 2438496 2446848 2531328 2616303 2625264 2743308 2847744 2997318 3111424 3251328 3262464 3488404 3500352 3657744 3796992 3937896 3996424 4271616 4335104 4349952 4495977 4667136 4876992 4893696 5232606 5250528 5486616 5695488 5994636 6222848 6502656 6524928 6976808 7000704 7315488 7593984 7848909 7875792 7992848 8543232 8670208 8991954 9334272 9753984 9787392 10465212 10501056 10973232 11390976 11989272 12445696 13005312 13049856 13487931 13953616 14001408 14630976 15697818 15751584 15985696 17086464 17340416 17983908 18668544 19507968 19574784 20930424 21002112 21946464 22781952 23546727 23978544 24891392 26010624 26975862 27907232 28002816 29261952 31395636 31503168 31971392 34172928 34680832 35967816 37337088 39015936 39149568 40463793 41860848 42004224 43892928 47093454 47957088 49782784 51453959 52021248 53951724 55814464 56005632 58523904 62791272 63006336 63942784 68345856 69361664 70640181 71935632 74674176 78031872 80927586 83721696 84008448 87785856 94186908 95914176 102907918 104042496 107903448 111628928 112011264 117047808 125582544 126012672 127885568 141280362 143871264 149348352 154361877 156063744 161855172 167443392 168016896 175571712 188373816 191828352 205815836 208084992 215806896 223257856 224022528 234095616 251165088 252025344 255771136 282560724 287742528 308723754 312127488 323710344 334886784 336033792 351143424 376747632 383656704 411631672 431613792 446515712 448045056 463085631 468191232 502330176 504050688 511542272 565121448 575485056 617447508 624254976 647420688 669773568 672067584 702286848 753495264 767313408 823263344 863227584 893031424 926171262 936382464 1004660352 1008101376 1023084544 1130242896 1150970112 1234895016 1294841376 1339547136 1344135168 1389256893 1404573696 1506990528 1534626816 1646526688 1726455168 1786062848 1852342524 1872764928 2009320704 2016202752 2046169088 2260485792 2301940224 2469790032 2589682752 2679094272 2778513786 2809147392 3013981056 3069253632 3293053376 3452910336 3572125696 3704685048 4018641408 4032405504 4092338176 4167770679 4520971584 4603880448 4939580064 5179365504 5358188544 5557027572 5618294784 6027962112 6138507264 6586106752 6905820672 7144251392 7409370096 8037282816 8335541358 9041943168 9207760896 9879160128 10358731008 10716377088 11114055144 12055924224 12277014528 13172213504 13811641344 14818740192 16074565632 16671082716 18083886336 18415521792 19758320256 20717462016 21432754176 22228110288 24111848448 26344427008 27623282688 29637480384 32149131264 33342165432 36167772672 36831043584 39516640512 41434924032 44456220576 48223696896 52688854016 55246565376 59274960768 64298262528 66684330864 72335545344 79033281024 82869848064 88912441152 96447393792 105377708032 110493130752 118549921536 133368661728 144671090688 158066562048 165739696128 177824882304 192894787584 210755416064 237099843072 266737323456 289342181376 316133124096 331479392256 355649764608 421510832128 474199686144 533474646912 578684362752 632266248192 711299529216 948399372288 1066949293824 1264532496384 1422599058432 1896798744576 2133898587648 2845198116864 3793597489152 4267797175296 5690396233728 8535594350592 11380792467456 17071188701184 34142377402368
• Sum of all divisors σ(n): 104747638469760
• Sum of proper divisors (its aliquot sum) s(n): 70605261067392
• 34142377402368 is an abundant number, because the sum of its proper divisors (70605261067392) is greater than itself. Its abundance is 36462883665024

Bases of 34142377402368

• Binary: 111110000110101100100010001101110000000000000₂
• Hexadecimal: 0x1F0D6446E000
• Base-36: C3OSHZ400

Squares and roots of 34142377402368

• 34142377402368 squared (34142377402368²) is 1165701934685729059372007424
• 34142377402368 cubed (34142377402368³) is 39799835392710694120561890878402731180032
• The square root of 34142377402368 is 5843147.9018049851
• The cube root of 34142377402368 is 32441.2753824903

Scales and comparisons

• 34,142,377,402,368 seconds is equal to 1,085,621 years, 51 weeks, 4 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 34,142,377,402,368 would take you about two million, seven hundred fourteen thousand and fifty-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 34142377402368 cubic inches would be around 2703.4 feet tall.

Recreational maths with 34142377402368

• 34142377402368 backwards is 86320477324143
• 34142377402368 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34142377402368's digits is 54
• More coming soon!