106988411288005391872

Names of 106988411288005391872

• Cardinal: 106988411288005391872 can be written as One hundred six quintillion, nine hundred eighty-eight quadrillion, four hundred eleven trillion, two hundred eighty-eight billion, five million, three hundred ninety-one thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 1.06988411288005391872 × 10²⁰

Factors of 106988411288005391872

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 6543

Divisors of 106988411288005391872

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 256 338 343 364 392 416 448 512 637 676 686 728 784 832 896 1183 1274 1352 1372 1456 1568 1664 1792 2197 2366 2548 2704 2744 2912 3136 3328 3584 4394 4459 4732 5096 5408 5488 5824 6272 6521 6656 8281 8788 8918 9464 10192 10816 10976 11648 12544 13042 15379 16562 17576 17836 18928 20384 21632 21952 23296 25088 26084 30758 33124 35152 35672 37856 40768 43264 43904 45647 46592 52168 57967 61516 66248 70304 71344 75712 81536 84773 86528 87808 91294 104336 107653 115934 123032 132496 140608 142688 151424 163072 169546 175616 182588 208672 215306 231868 246064 264992 281216 285376 302848 319529 326144 339092 365176 417344 430612 463736 492128 529984 562432 570752 593411 605696 639058 678184 730352 753571 834688 861224 927472 984256 1059968 1102049 1124864 1141504 1186822 1278116 1356368 1460704 1507142 1669376 1722448 1854944 1968512 2119936 2204098 2236703 2283008 2373644 2556232 2712736 2921408 3014284 3338752 3444896 3709888 3937024 4153877 4239872 4408196 4473406 4747288 5112464 5425472 5842816 6028568 6889792 7419776 7714343 7874048 8307754 8816392 8946812 9494576 10224928 10850944 11685632 12057136 13779584 14326637 14839552 15428686 16615508 17632784 17893624 18989152 20449856 21701888 23371264 24114272 27559168 28653274 29077139 29679104 30857372 33231016 35265568 35787248 37978304 40899712 42523441 43403776 48228544 54000401 55118336 57306548 58154278 61714744 66462032 70531136 71574496 75956608 81799424 85046882 96457088 100286459 108000802 114613096 116308556 123429488 132924064 141062272 143148992 151913216 163598848 170093764 192914176 200572918 216001604 229226192 232617112 246858976 265848128 282124544 286297984 297664087 303826432 340187528 378002807 385828352 401145836 432003208 458452384 465234224 493717952 531696256 552804733 564249088 572595968 595328174 680375056 702005213 756005614 802291672 864006416 916904768 930468448 987435904 1063392512 1105609466 1145191936 1190656348 1360750112 1404010426 1512011228 1604583344 1728012832 1833809536 1860936896 1974871808 2083648609 2126785024 2211218932 2381312696 2721500224 2808020852 3024022456 3209166688 3456025664 3667619072 3721873792 3869633131 3949743616 4167297218 4422437864 4762625392 4914036491 5443000448 5616041704 6048044912 6418333376 6912051328 7186461529 7335238144 7443747584 7739266262 8334594436 8844875728 9525250784 9828072982 10886000896 11232083408 12096089824 12836666752 13824102656 14372923058 14585540263 14887495168 15478532524 16669188872 17689751456 19050501568 19656145964 21772001792 22464166816 24192179648 25673333504 27087431917 27648205312 28745846116 29171080526 30957065048 33338377744 35379502912 38101003136 39312291928 44928333632 48384359296 50305230703 51346667008 54174863834 57491692232 58342161052 61914130096 66676755488 70759005824 76202006272 78624583856 89856667264 93423999877 96768718592 100610461406 108349727668 114983384464 116684322104 123828260192 133353510976 141518011648 152404012544 157249167712 179713334528 186847999754 189612023419 193537437184 201220922812 216699455336 229966768928 233368644208 247656520384 266707021952 283036023296 314498335424 352136614921 359426669056 373695999508 379224046838 402441845624 433398910672 459933537856 466737288416 495313040768 533414043904 628996670848 653967999139 704273229842 747391999016 758448093676 804883691248 866797821344 919867075712 933474576832 990626081536 1066828087808 1257993341696 1307935998278 1408546459684 1494783998032 1516896187352 1609767382496 1733595642688 1839734151424 1866949153664 1981252163072 2464956304447 2515986683392 2615871996556 2817092919368 2989567996064 3033792374704 3219534764992 3467191285376 3679468302848 3733898307328 4577775993973 4929912608894 5231743993112 5634185838736 5979135992128 6067584749408 6439069529984 6934382570752 7467796614656 9155551987946 9859825217788 10463487986224 11268371677472 11958271984256 12135169498816 12878139059968 13868765141504 18311103975892 19719650435576 20926975972448 22536743354944 23916543968512 24270338997632 25756278119936 32044431957811 36622207951784 39439300871152 41853951944896 45073486709888 47833087937024 48540677995264 64088863915622 73244415903568 78878601742304 83707903889792 90146973419776 97081355990528 128177727831244 146488831807136 157757203484608 167415807779584 180293946839552 256355455662488 292977663614272 315514406969216 334831615559168 512710911324976 585955327228544 631028813938432 1025421822649952 1171910654457088 1262057627876864 2050843645299904 2343821308914176 4101687290599808 8203374581199616 16406749162399232
• Sum of all divisors σ(n): 107013424299688840640
• Sum of proper divisors (its aliquot sum) s(n): 25013011683448768
• 106988411288005391872 is a deficient number, because the sum of its proper divisors (25013011683448768) is less than itself. Its deficiency is 106963398276321943104

Bases of 106988411288005391872

• Binary: 1011100110011000011001100010011011110110000111101000011011000000000₂
• Hexadecimal: 0x5CCC33137B0F43600
• Base-36: MKUIQK8YUPDDS

Squares and roots of 106988411288005391872

• 106988411288005391872 squared (106988411288005391872²) is 11446520149931399554582296531344283664384
• 106988411288005391872 cubed (106988411288005391872³) is 1224645005617301718702604597254217168969218201532042049486848
• The square root of 106988411288005391872 is 10343520256.0832930325
• 106988411288005391872 is a perfect cube number. Its cube root is 4747288

Scales and comparisons

• 106,988,411,288,005,391,872 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 106,988,411,288,005,391,872 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 106988411288005391872 cubic inches would be around 395607.3 feet tall.

Recreational maths with 106988411288005391872

• 106988411288005391872 backwards is 278193500882114889601
• 106988411288005391872 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 106988411288005391872's digits is 91
• More coming soon!