72135966720

Names of 72135966720

• Cardinal: 72135966720 can be written as Seventy-two billion, one hundred thirty-five million, nine hundred sixty-six thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 7.213596672 × 10¹⁰

Factors of 72135966720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 213

Divisors of 72135966720

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 89 96 97 102 120 128 136 160 170 178 192 194 204 240 255 256 267 272 291 320 340 356 384 388 408 445 480 485 510 512 534 544 582 640 680 712 768 776 816 890 960 970 1020 1024 1068 1088 1164 1280 1335 1360 1424 1455 1513 1536 1552 1632 1649 1780 1920 1940 2040 2048 2136 2176 2328 2560 2670 2720 2848 2910 3026 3072 3104 3264 3298 3560 3840 3880 4080 4096 4272 4352 4539 4656 4947 5120 5340 5440 5696 5820 6052 6144 6208 6528 6596 7120 7565 7680 7760 8160 8192 8245 8544 8633 8704 9078 9312 9894 10240 10680 10880 11392 11640 12104 12288 12416 13056 13192 14240 15130 15360 15520 16320 16384 16490 17088 17266 17408 18156 18624 19788 20480 21360 21760 22695 22784 23280 24208 24576 24735 24832 25899 26112 26384 28480 30260 30720 31040 32640 32768 32980 34176 34532 34816 36312 37248 39576 40960 42720 43165 43520 45390 45568 46560 48416 49152 49470 49664 51798 52224 52768 56960 60520 61440 62080 65280 65960 68352 69064 69632 72624 74496 79152 81920 85440 86330 87040 90780 91136 93120 96832 98304 98940 99328 103596 104448 105536 113920 121040 122880 124160 129495 130560 131920 136704 138128 139264 145248 146761 148992 158304 163840 170880 172660 174080 181560 182272 186240 193664 197880 198656 207192 208896 211072 227840 242080 245760 248320 258990 261120 263840 273408 276256 278528 290496 293522 297984 316608 341760 345320 348160 363120 364544 372480 387328 395760 397312 414384 417792 422144 440283 455680 484160 491520 496640 517980 522240 527680 546816 552512 557056 580992 587044 595968 633216 683520 690640 696320 726240 729088 733805 744960 774656 791520 794624 828768 835584 844288 880566 911360 968320 993280 1035960 1044480 1055360 1093632 1105024 1161984 1174088 1191936 1266432 1367040 1381280 1392640 1452480 1458176 1467610 1489920 1549312 1583040 1589248 1657536 1671168 1688576 1761132 1822720 1936640 1986560 2071920 2088960 2110720 2187264 2201415 2210048 2323968 2348176 2383872 2532864 2734080 2762560 2785280 2904960 2916352 2935220 2979840 3098624 3166080 3178496 3315072 3377152 3522264 3645440 3873280 3973120 4143840 4177920 4221440 4374528 4402830 4420096 4647936 4696352 4767744 5065728 5468160 5525120 5809920 5870440 5959680 6197248 6332160 6630144 6754304 7044528 7290880 7746560 7946240 8287680 8355840 8442880 8749056 8805660 8840192 9295872 9392704 9535488 10131456 10936320 11050240 11619840 11740880 11919360 12394496 12664320 13260288 13508608 14089056 14581760 15493120 15892480 16575360 16885760 17611320 17680384 18591744 18785408 20262912 21872640 22100480 23239680 23481760 23838720 24788992 25328640 26520576 27017216 28178112 30986240 33150720 33771520 35222640 35360768 37183488 37570816 40525824 43745280 44200960 46479360 46963520 47677440 49577984 50657280 53041152 54034432 56356224 61972480 66301440 67543040 70445280 70721536 74366976 75141632 81051648 88401920 92958720 93927040 101314560 106082304 112712448 123944960 132602880 135086080 140890560 141443072 148733952 150283264 162103296 176803840 185917440 187854080 202629120 212164608 225424896 247889920 265205760 270172160 281781120 282886144 300566528 353607680 371834880 375708160 405258240 424329216 450849792 530411520 563562240 601133056 707215360 743669760 751416320 810516480 848658432 901699584 1060823040 1127124480 1202266112 1414430720 1502832640 1803399168 2121646080 2254248960 2404532224 3005665280 3606798336 4243292160 4508497920 4809064448 6011330560 7213596672 9016995840 12022661120 14427193344 18033991680 24045322240 36067983360 72135966720
• Sum of all divisors σ(n): 249704078400
• Sum of proper divisors (its aliquot sum) s(n): 177568111680
• 72135966720 is an abundant number, because the sum of its proper divisors (177568111680) is greater than itself. Its abundance is 105432144960

Bases of 72135966720

• Binary: 1000011001011101000111000000000000000₂
• Hexadecimal: 0x10CBA38000
• Base-36: X4ZW45C

Squares and roots of 72135966720

• 72135966720 squared (72135966720²) is 5203597694628947558400
• 72135966720 cubed (72135966720³) is 375366550124022483821367656448000
• The square root of 72135966720 is 268581.3968241285
• The cube root of 72135966720 is 4162.7847232487

Scales and comparisons

• 72,135,966,720 seconds is equal to 2,293 years, 36 weeks, 3 days, 32 minutes.
• To count from 1 to 72,135,966,720 would take you about four thousand, five hundred eighty-seven 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 72135966720 cubic inches would be around 346.9 feet tall.

Recreational maths with 72135966720

• 72135966720 backwards is 02766953127
• 72135966720 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 72135966720's digits is 48
• More coming soon!