72013446918144

Names of 72013446918144

• Cardinal: 72013446918144 can be written as Seventy-two trillion, thirteen billion, four hundred forty-six million, nine hundred eighteen thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 7.2013446918144 × 10¹³

Factors of 72013446918144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2085

Divisors of 72013446918144

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 243 256 272 288 306 324 384 408 432 459 486 512 544 576 612 648 768 816 864 918 972 1024 1088 1152 1224 1296 1377 1536 1632 1728 1836 1944 2048 2063 2176 2304 2448 2592 2754 3072 3264 3456 3672 3888 4096 4126 4131 4352 4608 4896 5184 5508 6144 6189 6528 6912 7344 7776 8252 8262 8704 9216 9792 10368 11016 12288 12378 13056 13824 14688 15552 16504 16524 17408 18432 18567 19584 20736 22032 24756 26112 27648 29376 31104 33008 33048 34816 35071 36864 37134 39168 41472 44064 49512 52224 55296 55701 58752 62208 66016 66096 69632 70142 74268 78336 82944 88128 99024 104448 105213 110592 111402 117504 124416 132032 132192 140284 148536 156672 165888 167103 176256 198048 208896 210426 222804 235008 248832 264064 264384 280568 297072 313344 315639 331776 334206 352512 396096 420852 445608 470016 497664 501309 528128 528768 561136 594144 626688 631278 668412 705024 792192 841704 891216 940032 946917 995328 1002618 1056256 1057536 1122272 1188288 1262556 1336824 1410048 1584384 1683408 1782432 1880064 1893834 2005236 2112512 2115072 2244544 2376576 2525112 2673648 2820096 2840751 3168768 3366816 3564864 3787668 4010472 4225024 4230144 4255969 4489088 4753152 5050224 5347296 5640192 5681502 6337536 6733632 7129728 7575336 8020944 8450048 8460288 8511938 8522253 8978176 9506304 10100448 10694592 11363004 12675072 12767907 13467264 14259456 15150672 16041888 16920576 17023876 17044506 17956352 19012608 20200896 21389184 22726008 25350144 25535814 26934528 28518912 30301344 32083776 34047752 34089012 35912704 38025216 38303721 40401792 42778368 45452016 51071628 53869056 57037824 60602688 64167552 68095504 68178024 71825408 72351473 76050432 76607442 80803584 85556736 90904032 102143256 107738112 114075648 114911163 121205376 128335104 136191008 136356048 143650816 144702946 153214884 161607168 171113472 181808064 204286512 215476224 217054419 228151296 229822326 242410752 256670208 272382016 272712096 289405892 306429768 323214336 342226944 344733489 363616128 408573024 430952448 434108838 459644652 484821504 513340416 544764032 545424192 578811784 612859536 646428672 651163257 684453888 689466978 727232256 817146048 868217676 919289304 969643008 1026680832 1034200467 1089528064 1090848384 1157623568 1225719072 1292857344 1302326514 1378933956 1454464512 1634292096 1736435352 1838578608 1939286016 1953489771 2053361664 2068400934 2179056128 2181696768 2315247136 2451438144 2604653028 2757867912 2908929024 3268584192 3472870704 3677157216 3878572032 3906979542 4136801868 4358112256 4363393536 4630494272 4902876288 5209306056 5515735824 5817858048 5860469313 6537168384 6945741408 7354314432 7813959084 8273603736 8716224512 8726787072 9260988544 9805752576 10418612112 11031471648 11635716096 11720938626 13074336768 13891482816 14708628864 15627918168 16547207472 17432449024 17453574144 17581407939 18521977088 19611505152 20837224224 22062943296 23441877252 26148673536 27782965632 29417257728 31255836336 33094414944 34907148288 35162815878 37043954176 39223010304 41674448448 44125886592 46883754504 52297347072 55565931264 58834515456 62511672672 66188829888 70325631756 74087908352 78446020608 83348896896 88251773184 93767509008 111131862528 117669030912 125023345344 132377659776 140651263512 148175816704 156892041216 166697793792 176503546368 187535018016 222263725056 235338061824 250046690688 264755319552 281302527024 296351633408 333395587584 353007092736 375070036032 444527450112 470676123648 500093381376 529510639104 562605054048 666791175168 706014185472 750140072064 889054900224 1000186762752 1059021278208 1125210108096 1333582350336 1412028370944 1500280144128 2000373525504 2118042556416 2250420216192 2667164700672 3000560288256 4000747051008 4236085112832 4500840432384 6001120576512 8001494102016 9001680864768 12002241153024 18003361729536 24004482306048 36006723459072 72013446918144
• Sum of all divisors σ(n): 228517696481256
• Sum of proper divisors (its aliquot sum) s(n): 156504249563112
• 72013446918144 is an abundant number, because the sum of its proper divisors (156504249563112) is greater than itself. Its abundance is 84490802644968

Bases of 72013446918144

• Binary: 10000010111111011101111111011000011000000000000₂
• Hexadecimal: 0x417EEFEC3000
• Base-36: PIYIQYO00

Squares and roots of 72013446918144

• 72013446918144 squared (72013446918144²) is 5185936537032343571436404736
• 72013446918144 cubed (72013446918144³) is 373457165530442189892106730942986645929984
• The square root of 72013446918144 is 8486073.7044963261
• The cube root of 72013446918144 is 41604.2661810181

Scales and comparisons

• 72,013,446,918,144 seconds is equal to 2,289,804 years, 44 weeks, 4 days, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 72,013,446,918,144 would take you about five million, seven hundred twenty-four thousand, five 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 72013446918144 cubic inches would be around 3467 feet tall.

Recreational maths with 72013446918144

• 72013446918144 backwards is 44181964431027
• 72013446918144 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 72013446918144's digits is 54
• More coming soon!