349742017748992

Names of 349742017748992

• Cardinal: 349742017748992 can be written as Three hundred forty-nine trillion, seven hundred forty-two billion, seventeen million, seven hundred forty-eight thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 3.49742017748992 × 10¹⁴

Factors of 349742017748992

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 686

Divisors of 349742017748992

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 8 11 16 19 22 32 38 44 53 64 76 88 106 121 128 152 176 209 212 242 256 304 352 418 424 484 512 583 601 608 704 836 848 968 1007 1024 1166 1202 1216 1331 1408 1672 1696 1936 2014 2048 2299 2332 2404 2432 2662 2809 2816 3344 3392 3872 4028 4096 4598 4664 4808 4864 5324 5618 5632 6413 6611 6688 6784 7744 8056 8192 9196 9328 9616 9728 10648 11077 11236 11264 11419 12826 13222 13376 13568 15488 16112 18392 18656 19232 19456 21296 22154 22472 22528 22838 25289 25652 26444 26752 27136 30899 30976 31853 32224 36784 37312 38464 38912 42592 44308 44944 45056 45676 50578 51304 52888 53371 53504 54272 61798 61952 63706 64448 70543 72721 73568 74624 76928 77824 85184 88616 89888 90112 91352 101156 102608 105776 106742 107008 108544 121847 123596 123904 125609 127412 128896 141086 145442 147136 149248 153856 155648 170368 177232 179776 182704 202312 205216 211552 213484 214016 217088 243694 247192 247808 251218 254824 257792 282172 290884 294272 298496 307712 339889 340736 350383 354464 359552 365408 404624 410432 423104 426968 428032 434176 487388 494384 495616 502436 509648 515584 564344 581768 587081 588544 596992 605207 615424 679778 681472 700766 708928 719104 730816 799931 809248 820864 846208 853936 856064 974776 988768 991232 1004872 1019296 1031168 1128688 1163536 1174162 1177088 1193984 1210414 1230848 1340317 1359556 1362944 1381699 1401532 1417856 1438208 1461632 1599862 1618496 1641728 1688209 1692416 1707872 1712128 1949552 1977536 2009744 2038592 2062336 2257376 2327072 2348324 2354176 2387968 2420828 2461696 2680634 2719112 2725888 2763398 2803064 2835712 2876416 2923264 3199724 3236992 3283456 3376418 3384832 3415744 3738779 3854213 3899104 3955072 4019488 4077184 4124672 4514752 4654144 4696648 4708352 4775936 4841656 4923392 5361268 5438224 5451776 5526796 5606128 5671424 5752832 5846528 6399448 6457891 6473984 6566912 6657277 6752836 6769664 6831488 7477558 7708426 7798208 7910144 8038976 8154368 8249344 9029504 9308288 9393296 9416704 9683312 10722536 10876448 10903552 11053592 11212256 11342848 11505664 11693056 12798896 12915782 12947968 13133824 13314554 13505672 13539328 13662976 14955116 15198689 15416852 15596416 15820288 16077952 16308736 18059008 18570299 18616576 18786592 18833408 19366624 21445072 21752896 22107184 22424512 22685696 23011328 23386112 25597792 25831564 25895936 26267648 26629108 27011344 27078656 27325952 29910232 30397378 30833704 31192832 31640576 32075971 32155904 32617472 36118016 37140598 37233152 37573184 38733248 42396343 42890144 43505792 44214368 44849024 45371392 46772224 51195584 51663128 51791872 52535296 53258216 54022688 54157312 54651904 59820464 60794756 61667408 62385664 63281152 64151942 64311808 65234944 71036801 72236032 73230047 74281196 74466304 75146368 77466496 84792686 85780288 87011584 88428736 89698048 90742784 93544448 102391168 103326256 103583744 106516432 108045376 109303808 119640928 121589512 123334816 124771328 126562304 128303884 128623616 130469888 142073602 144472064 146460094 148562392 148932608 150292736 154932992 169585372 171560576 174023168 176857472 179396096 204273289 204782336 206652512 207167488 213032864 216090752 218607616 239281856 243179024 246669632 249542656 253124608 256607768 257247232 260939776 284147204 288944128 292920188 297124784 297865216 300585472 309865984 339170744 343121152 348046336 352835681 353714944 358792192 408546578 409564672 413305024 426065728 432181504 437215232 478563712 486358048 493339264 499085312 513215536 514494464 568294408 577888256 585840376 594249568 595730432 601170944 619731968 678341488 686242304 696092672 705671362 707429888 717584384 805530517 817093156 819129344 826610048 852131456 864363008 957127424 972716096 986678528 998170624 1026431072 1028988928 1136588816 1171680752 1188499136 1202341888 1239463936 1356682976 1372484608 1392185344 1411342724 1414859776 1435168768 1611061034 1634186312 1638258688 1653220096 1704262912 1728726016 1914254848 1945432192 1973357056 2052862144 2247006179 2273177632 2343361504 2376998272 2404683776 2478927872 2713365952 2744969216 2784370688 2822685448 2829719552 2870337536 3222122068 3268372624 3276517376 3306440192 3408525824 3457452032 3828509696 3881192491 3890864384 3946714112 4105724288 4494012358 4546355264 4686723008 4753996544 4809367552 4957855744 5426731904 5489938432 5645370896 5659439104 6444244136 6536745248 6553034752 6612880384 6817051648 6914904064 7657019392 7762384982 7781728768 7893428224 8211448576 8988024716 9092710528 9373446016 9507993088 10853463808 10979876864 11290741792 11318878208 12888488272 13073490496 13225760768 13634103296 13829808128 15314038784 15524769964 15563457536 15786856448 16422897152 17976049432 18185421056 18746892032 19015986176 21706927616 22581483584 25776976544 26146980992 26451521536 27268206592 30628077568 31049539928 31126915072 31573712896 32845794304 35952098864 36370842112 37493784064 38031972352 42693117401 43413855232 45162967168 51553953088 52293961984 52903043072 54536413184 62099079856 62253830144 65691588608 71904197728 72741684224 74987568128 76063944704 85386234802 86827710464 90325934336 103107906176 104587923968 124198159712 124507660288 131383177216 143808395456 145483368448 149975136256 152127889408 170772469604 173655420928 180651868672 206215812352 209175847936 248396319424 262766354432 287616790912 290966736896 299950272512 341544939208 347310841856 361303737344 412431624704 418351695872 496792638848 575233581824 581933473792 599900545024 683089878416 722607474688 824863249408 836703391744 993585277696 1150467163648 1366179756832 1445214949376 1649726498816 1673406783488 1987170555392 2300934327296 2732359513664 2890429898752 3299452997632 3974341110784 4601868654592 5464719027328 6598905995264 7948682221568 9203737309184 10929438054656 15897364443136 18407474618368 21858876109312 31794728886272 43717752218624 87435504437248 174871008874496 349742017748992
• Sum of all divisors σ(n): 826765494690240
• Sum of proper divisors (its aliquot sum) s(n): 477023476941248
• 349742017748992 is an abundant number, because the sum of its proper divisors (477023476941248) is greater than itself. Its abundance is 127281459192256

Bases of 349742017748992

• Binary: 1001111100001011010101000101110110010000000000000₂
• Hexadecimal: 0x13E16A8BB2000
• Base-36: 3FZ19JAO74

Squares and roots of 349742017748992

• 349742017748992 squared (349742017748992²) is 122319478979136235154717016064
• 349742017748992 cubed (349742017748992³) is 42780261388168519000338243303446568383807488
• The square root of 349742017748992 is 18701390.7971838289
• The cube root of 349742017748992 is 70455.6680361685

Scales and comparisons

• 349,742,017,748,992 seconds is equal to 11,120,714 years, 17 weeks, 5 days, 5 hours, 49 minutes, 52 seconds.
• To count from 1 to 349,742,017,748,992 would take you about twenty-seven million, eight hundred one thousand, seven hundred eighty-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 349742017748992 cubic inches would be around 5871.3 feet tall.

Recreational maths with 349742017748992

• 349742017748992 backwards is 299847710247943
• 349742017748992 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 349742017748992's digits is 76
• More coming soon!