34089508906127712

Names of 34089508906127712

• Cardinal: 34089508906127712 can be written as Thirty-four quadrillion, eighty-nine trillion, five hundred eight billion, nine hundred six million, one hundred twenty-seven thousand, seven hundred twelve.

Scientific notation

• Scientific notation: 3.4089508906127712 × 10¹⁶

Factors of 34089508906127712

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1015

Divisors of 34089508906127712

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 243 288 292 324 432 438 486 584 648 657 864 876 937 972 1168 1296 1314 1752 1874 1944 1971 2336 2592 2628 2811 3504 3748 3888 3942 5256 5329 5622 5913 7008 7496 7776 7884 8433 10512 10658 11244 11826 14992 15768 15987 16866 17739 21024 21316 22488 23652 25299 29984 31536 31974 33732 35478 42632 44976 47304 47961 50598 63072 63948 67464 68401 70956 75897 85264 89952 94608 95922 101196 127896 134928 136802 141912 143883 151794 170528 189216 191844 202392 205203 227691 255792 269856 273604 283824 287766 303588 383688 404784 410406 431649 455382 511584 547208 567648 575532 607176 615609 767376 809568 820812 863298 877969 910764 1094416 1151064 1214352 1231218 1294947 1534752 1641624 1726596 1755938 1821528 1846827 2188832 2302128 2428704 2462436 2589894 2633907 3283248 3453192 3511876 3643056 3693654 4604256 4924872 4993273 5179788 5267814 5540481 6566496 6906384 7023752 7286112 7387308 7901721 9849744 9986546 10359576 10535628 11080962 13812768 14047504 14774616 14979819 15803442 16621443 19699488 19973092 20719152 21071256 22161924 23705163 28095008 29549232 29959638 31606884 33242886 39946184 41438304 42142512 44323848 44939457 47410326 59098464 59919276 63213768 64091737 66485772 71115489 79892368 84285024 88647696 89878914 94820652 119838552 126427536 128183474 132971544 134818371 142230978 159784736 177295392 179757828 189641304 192275211 213346467 239677104 252855072 256366948 265943088 269636742 284461956 359515656 379282608 384550422 404455113 426692934 479354208 512733896 531886176 539273484 568923912 576825633 719031312 758565216 769100844 808910226 822656953 853385868 1025467792 1078546968 1137847824 1153651266 1213365339 1438062624 1538201688 1617820452 1645313906 1706771736 1730476899 2050935584 2157093936 2275695648 2307302532 2426730678 2467970859 3076403376 3235640904 3290627812 3413543472 3460953798 4314187872 4614605064 4678696801 4853461356 4935941718 5191430697 6152806752 6471281808 6581255624 6827086944 6921907596 7403912577 9229210128 9357393602 9706922712 9871883436 10382861394 12942563616 13162511248 13843815192 14036090403 14807825154 15574292091 18458420256 18714787204 19413845424 19743766872 20765722788 22211737731 26325022496 27687630384 28072180806 29615650308 31148584182 37429574408 38827690848 39487533744 41531445576 42108271209 44423475462 55375260768 56144361612 59231300616 60053957569 62297168364 66635213193 74859148816 78975067488 83062891152 84216542418 88846950924 112288723224 118462601232 120107915138 124594336728 126324813627 133270426386 149718297632 166125782304 168433084836 177693901848 180161872707 199905639579 224577446448 236925202464 240215830276 249188673456 252649627254 266540852772 336866169672 355387803696 360323745414 378974440881 399811279158 449154892896 480431660552 498377346912 505299254508 533081705544 540485618121 673732339344 710775607392 720647490828 757948881762 799622558316 960863321104 1010598509016 1066163411088 1080971236242 1136923322643 1347464678688 1441294981656 1515897763524 1599245116632 1621456854363 1921726642208 2021197018032 2132326822176 2161942472484 2273846645286 2882589963312 3031795527048 3198490233264 3242913708726 4042394036064 4323884944968 4383938902537 4547693290572 4864370563089 5765179926624 6063591054096 6396980466528 6485827417452 8647769889936 8767877805074 9095386581144 9728741126178 12127182108192 12971654834904 13151816707611 14593111689267 17295539779872 17535755610148 18190773162288 19457482252356 25943309669808 26303633415222 29186223378534 35071511220296 36381546324576 38914964504712 39455450122833 51886619339616 52607266830444 58372446757068 70143022440592 77829929009424 78910900245666 105214533660888 116744893514136 118366350368499 140286044881184 155659858018848 157821800491332 210429067321776 233489787028272 236732700736998 315643600982664 355099051105497 420858134643552 466979574056544 473465401473996 631287201965328 710198102210994 946930802947992 1065297153316491 1262574403930656 1420396204421988 1893861605895984 2130594306632982 2840792408843976 3787723211791968 4261188613265964 5681584817687952 8522377226531928 11363169635375904 17044754453063856 34089508906127712
• Sum of all divisors σ(n): 102037407417232560
• Sum of proper divisors (its aliquot sum) s(n): 67947898511104848
• 34089508906127712 is an abundant number, because the sum of its proper divisors (67947898511104848) is greater than itself. Its abundance is 33858389604977136

Bases of 34089508906127712

• Binary: 1111001000111000011101001001100111010101101000101100000₂
• Hexadecimal: 0x791C3A4CEAD160
• Base-36: 9BNQ071O600

Squares and roots of 34089508906127712

• 34089508906127712 squared (34089508906127712²) is 1162094617460960595558822454354944
• 34089508906127712 cubed (34089508906127712³) is 39615234811698492757402716304185650306421842608128
• The square root of 34089508906127712 is 184633444.7117523505
• The cube root of 34089508906127712 is 324245.2193598491

Scales and comparisons

• 34,089,508,906,127,712 seconds is equal to 1,083,940,937 years, 22 weeks, 6 days, 7 hours, 55 minutes, 12 seconds.
• To count from 1 to 34,089,508,906,127,712 would take you about three billion, two hundred fifty-one million, eight hundred twenty-two thousand, eight hundred twelve 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 34089508906127712 cubic inches would be around 27020.4 feet tall.

Recreational maths with 34089508906127712

• 34089508906127712 backwards is 21772160980598043
• 34089508906127712 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34089508906127712's digits is 72
• More coming soon!