34130819968992

Names of 34130819968992

• Cardinal: 34130819968992 can be written as Thirty-four trillion, one hundred thirty billion, eight hundred nineteen million, nine hundred sixty-eight thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 3.4130819968992 × 10¹³

Factors of 34130819968992

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1268

Divisors of 34130819968992

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 53 54 69 72 92 96 106 108 138 144 159 184 207 212 216 276 288 318 368 414 424 432 477 529 552 621 636 736 828 848 864 954 1058 1104 1187 1219 1242 1272 1431 1587 1656 1696 1908 2116 2208 2374 2438 2484 2544 2862 3174 3312 3561 3657 3816 4232 4748 4761 4876 4968 5088 5724 6348 6624 7122 7314 7632 8464 9496 9522 9752 9936 10683 10971 11448 12696 14244 14283 14628 15264 16928 18992 19044 19504 19872 21366 21942 22896 25392 27301 28037 28488 28566 29256 32049 32913 37984 38088 39008 42732 43884 45792 50784 54602 56074 56976 57132 58512 62911 64098 65826 76176 81903 84111 85464 87768 109204 112148 113952 114264 117024 125822 128196 131652 152352 163806 168222 170928 175536 188733 218408 224296 228528 245709 251644 252333 256392 263304 327612 336444 341856 351072 377466 436816 448592 457056 491418 503288 504666 512784 526608 566199 627923 655224 672888 737127 754932 756999 873632 897184 982836 1006576 1009332 1025568 1053216 1132398 1255846 1310448 1345776 1408969 1446953 1474254 1509864 1513998 1698597 1883769 1965672 2013152 2018664 2264796 2511692 2620896 2691552 2817938 2893906 2948508 3019728 3027996 3397194 3767538 3931344 4037328 4226907 4340859 4529592 5023384 5635876 5651307 5787812 5897016 6039456 6055992 6794388 7535076 7862688 8074656 8453814 8681718 9059184 10046768 11271752 11302614 11575624 11794032 12111984 12680721 13022577 13588776 15070152 16907628 16953921 17363436 18118368 20093536 22543504 22605228 23151248 23588064 24223968 25361442 26045154 27177552 30140304 32406287 33279919 33815256 33907842 34726872 38042163 39067731 45087008 45210456 46302496 50722884 52090308 54355104 60280608 64812574 66559838 67630512 67815684 69453744 74675357 76084326 78135462 90420912 97218861 99839757 101445768 104180616 129625148 133119676 135261024 135631368 138907488 149350714 152168652 156270924 180841824 194437722 199679514 202891536 208361232 224026071 259250296 266239352 271262736 291656583 298701428 299519271 304337304 312541848 388875444 399359028 405783072 416722464 448052142 518500592 532478704 542525472 583313166 597402856 599038542 608674608 625083696 672078213 745344601 777750888 798718056 874969749 896104284 898557813 1037001184 1064957408 1166626332 1194805712 1198077084 1217349216 1250167392 1344156426 1490689202 1555501776 1597436112 1717533211 1749939498 1792208568 1797115626 2016234639 2236033803 2333252664 2389611424 2396154168 2688312852 2981378404 3111003552 3194872224 3435066422 3499878996 3584417136 3594231252 4032469278 4472067606 4666505328 4792308336 5152599633 5376625704 5962756808 6708101409 6870132844 6999757992 7168834272 7188462504 8064938556 8944135212 9333010656 9584616672 10305199266 10753251408 11925513616 13416202818 13740265688 13999515984 14376925008 15457798899 16129877112 17888270424 20124304227 20610398532 21506502816 23851027232 26832405636 27480531376 27999031968 28753850016 30915597798 32259754224 35776540848 39503263853 40248608454 41220797064 46373396697 53664811272 54961062752 61831195596 64519508448 71553081696 79006527706 80497216908 82441594128 92746793394 107329622544 118509791559 123662391192 158013055412 160994433816 164883188256 185493586788 214659245088 237019583118 247324782384 316026110824 321988867632 355529374677 370987173576 474039166236 494649564768 632052221648 643977735264 711058749354 741974347152 948078332472 1066588124031 1264104443296 1422117498708 1483948694304 1896156664944 2133176248062 2844234997416 3792313329888 4266352496124 5688469994832 8532704992248 11376939989664 17065409984496 34130819968992
• Sum of all divisors σ(n): 106117473001680
• Sum of proper divisors (its aliquot sum) s(n): 71986653032688
• 34130819968992 is an abundant number, because the sum of its proper divisors (71986653032688) is greater than itself. Its abundance is 37855833063696

Bases of 34130819968992

• Binary: 111110000101010110011011001100110111111100000₂
• Hexadecimal: 0x1F0AB3666FE0
• Base-36: C3JHCZ7C0

Squares and roots of 34130819968992

• 34130819968992 squared (34130819968992²) is 1164912871755743067841496064
• 34130819968992 cubed (34130819968992³) is 39759431505456732287343809643463370047488
• The square root of 34130819968992 is 5842158.8448956093
• The cube root of 34130819968992 is 32437.6144365563

Scales and comparisons

• 34,130,819,968,992 seconds is equal to 1,085,254 years, 26 weeks, 12 hours, 43 minutes, 12 seconds.
• To count from 1 to 34,130,819,968,992 would take you about two million, seven hundred thirteen thousand, one hundred thirty-six 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 34130819968992 cubic inches would be around 2703.1 feet tall.

Recreational maths with 34130819968992

• 34130819968992 backwards is 29986991803143
• 34130819968992 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34130819968992's digits is 72
• More coming soon!