470132123328

Names of 470132123328

• Cardinal: 470132123328 can be written as Four hundred seventy billion, one hundred thirty-two million, one hundred twenty-three thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 4.70132123328 × 10¹¹

Factors of 470132123328

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 322

Divisors of 470132123328

• Number of divisors d(n): 784
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 81 84 96 102 108 112 119 126 136 144 153 162 168 189 192 204 216 224 238 243 252 272 288 289 293 306 324 336 357 378 408 432 448 459 476 486 504 544 567 576 578 586 612 648 672 714 729 756 816 864 867 879 918 952 972 1008 1071 1088 1134 1156 1172 1224 1296 1344 1377 1428 1458 1512 1632 1701 1728 1734 1758 1836 1904 1944 2016 2023 2051 2142 2268 2312 2344 2448 2592 2601 2637 2754 2856 2916 3024 3213 3264 3402 3468 3516 3672 3808 3888 4032 4046 4102 4131 4284 4536 4624 4688 4896 4913 4981 5103 5184 5202 5274 5508 5712 5832 6048 6069 6153 6426 6804 6936 7032 7344 7616 7776 7803 7911 8092 8204 8262 8568 9072 9248 9376 9639 9792 9826 9962 10206 10404 10548 11016 11424 11664 12096 12138 12306 12393 12852 13608 13872 14064 14688 14739 14943 15552 15606 15822 16184 16408 16524 17136 18144 18207 18459 18496 18752 19278 19652 19924 20412 20808 21096 22032 22848 23328 23409 23733 24276 24612 24786 25704 27216 27744 28128 28917 29376 29478 29886 31212 31644 32368 32816 33048 34272 34391 34867 36288 36414 36918 38556 39304 39848 40824 41616 42192 44064 44217 44829 46656 46818 47466 48552 49224 49572 51408 54432 54621 55377 55488 56256 57834 58956 59772 62424 63288 64736 65632 66096 68544 68782 69734 70227 71199 72828 73836 77112 78608 79696 81648 83232 84384 84677 86751 88128 88434 89658 93636 94932 97104 98448 99144 102816 103173 104601 108864 109242 110754 115668 117912 119544 124848 126576 129472 131264 132192 132651 134487 137564 139468 140454 142398 145656 147672 154224 157216 159392 163296 163863 166131 166464 168768 169354 173502 176868 179316 187272 189864 194208 196896 198288 205632 206346 209202 210681 213597 218484 221508 231336 235824 239088 249696 253152 254031 264384 265302 268974 275128 278936 280908 284796 291312 295344 308448 309519 313803 314432 318784 326592 327726 332262 338708 347004 353736 358632 374544 379728 388416 393792 396576 397953 403461 412692 418404 421362 427194 436968 443016 462672 471648 478176 491589 498393 499392 506304 508062 530604 537948 550256 557872 561816 569592 582624 590688 592739 616896 619038 627606 655452 664524 677416 694008 707472 717264 749088 759456 762093 793152 795906 806922 825384 836808 842724 854388 873936 886032 925344 928557 941409 943296 956352 983178 996786 1016124 1061208 1075896 1100512 1115744 1123632 1139184 1165248 1181376 1185478 1193859 1210383 1238076 1255212 1310904 1329048 1354832 1388016 1414944 1434528 1439509 1474767 1495179 1498176 1518912 1524186 1591812 1613844 1650768 1673616 1685448 1708776 1747872 1772064 1778217 1850688 1857114 1882818 1966356 1993572 2032248 2122416 2151792 2201024 2231488 2247264 2278368 2286279 2370956 2387718 2420766 2476152 2510424 2621808 2658096 2709664 2776032 2785671 2824227 2829888 2869056 2879018 2949534 2990358 3048372 3183624 3227688 3301536 3347232 3370896 3417552 3495744 3544128 3556434 3581577 3631149 3714228 3765636 3932712 3987144 4064496 4244832 4303584 4318527 4494528 4556736 4572558 4741912 4775436 4841532 4952304 5020848 5243616 5316192 5334651 5419328 5552064 5571342 5648454 5758036 5899068 5980716 6096744 6367248 6455376 6603072 6694464 6741792 6835104 6858837 7112868 7163154 7262298 7428456 7531272 7865424 7974288 8128992 8357013 8472681 8489664 8607168 8637054 9145116 9483824 9550872 9683064 9904608 10041696 10076563 10487232 10632384 10669302 11142684 11296908 11516072 11798136 11961432 12193488 12734496 12910752 12955581 13483584 13670208 13717674 14225736 14326308 14524596 14856912 15062544 15730848 15948576 16003953 16257984 16714026 16945362 17274108 18290232 18967648 19101744 19366128 19809216 20083392 20153126 20576511 21338604 22285368 22593816 23032144 23596272 23922864 24386976 25071039 25418043 25468992 25821504 25911162 27435348 28451472 28652616 29049192 29713824 30125088 30229689 31461696 31897152 32007906 33428052 33890724 34548216 36580464 37935296 38203488 38732256 38866743 40306252 41153022 42677208 44570736 45187632 46064288 47192544 47845728 48011859 48773952 50142078 50836086 51822324 54870696 56902944 57305232 58098384 59427648 60250176 60459378 61729533 64015812 66856104 67781448 69096432 73160928 76406976 77464512 77733486 80612504 82306044 85354416 89141472 90375264 90689067 92128576 94385088 95691456 96023718 100284156 101672172 103644648 109741392 113805888 114610464 116196768 116600229 120918756 123459066 128031624 133712208 135562896 138192864 144035577 146321856 155466972 161225008 164612088 170708832 178282944 180750528 181378134 192047436 200568312 203344344 207289296 219482784 229220928 232393536 233200458 241837512 246918132 256063248 267424416 271125792 272067201 276385728 288071154 310933944 322450016 329224176 341417664 349800687 362756268 384094872 401136624 406688688 414578592 432106731 438965568 466400916 483675024 493836264 512126496 534848832 542251584 544134402 576142308 621867888 644900032 658448352 699601374 725512536 768189744 802273248 813377376 816201603 829157184 864213462 932801832 967350048 987672528 1024252992 1049402061 1088268804 1152284616 1243735776 1316896704 1399202748 1451025072 1536379488 1604546496 1626754752 1632403206 1728426924 1865603664 1934700096 1975345056 2098804122 2176537608 2304569232 2448604809 2487471552 2798405496 2902050144 3072758976 3264806412 3456853848 3731207328 3950690112 4197608244 4353075216 4609138464 4897209618 5596810992 5804100288 6529612824 6913707696 7345814427 7462414656 8395216488 8706150432 9218276928 9794419236 11193621984 13059225648 13827415392 14691628854 16790432976 17412300864 19588838472 22387243968 26118451296 27654830784 29383257708 33580865952 39177676944 52236902592 58766515416 67161731904 78355353888 117533030832 156710707776 235066061664 470132123328
• Sum of all divisors σ(n): 1704243723840
• Sum of proper divisors (its aliquot sum) s(n): 1234111600512
• 470132123328 is an abundant number, because the sum of its proper divisors (1234111600512) is greater than itself. Its abundance is 763979477184

Bases of 470132123328

• Binary: 110110101110110000011101110011011000000₂
• Hexadecimal: 0x6D760EE6C0
• Base-36: 5ZZ4J000

Squares and roots of 470132123328

• 470132123328 squared (470132123328²) is 221024213384893801795584
• 470132123328 cubed (470132123328³) is 103910582745541081157944284933783552
• The square root of 470132123328 is 685661.8141095505
• The cube root of 470132123328 is 7775.7085796135

Scales and comparisons

• 470,132,123,328 seconds is equal to 14,948 years, 38 weeks, 6 days, 28 minutes, 48 seconds.
• To count from 1 to 470,132,123,328 would take you about twenty-nine thousand, eight hundred ninety-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 470132123328 cubic inches would be around 648 feet tall.

Recreational maths with 470132123328

• 470132123328 backwards is 823321231074
• 470132123328 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 470132123328's digits is 36
• More coming soon!