146971672320

Names of 146971672320

• Cardinal: 146971672320 can be written as One hundred forty-six billion, nine hundred seventy-one million, six hundred seventy-two thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.4697167232 × 10¹¹

Factors of 146971672320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 244

Divisors of 146971672320

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 37 40 44 48 55 60 64 66 74 80 83 88 96 103 110 111 120 121 128 132 148 160 165 166 176 185 192 206 220 222 240 242 249 256 264 296 309 320 330 332 352 363 370 384 407 412 415 440 444 480 484 498 515 528 555 592 605 618 640 660 664 704 726 740 768 814 824 830 880 888 913 960 968 996 1030 1056 1110 1133 1184 1210 1221 1236 1245 1280 1320 1328 1408 1452 1480 1545 1628 1648 1660 1760 1776 1815 1826 1920 1936 1992 2035 2060 2112 2220 2266 2368 2420 2442 2472 2490 2640 2656 2739 2816 2904 2960 3071 3090 3256 3296 3320 3399 3520 3552 3630 3652 3811 3840 3872 3984 4070 4120 4224 4440 4477 4532 4565 4736 4840 4884 4944 4980 5280 5312 5478 5665 5808 5920 6105 6142 6180 6512 6592 6640 6798 7040 7104 7260 7304 7622 7744 7968 8140 8240 8448 8549 8880 8954 9064 9130 9213 9472 9680 9768 9888 9960 10043 10560 10624 10956 11330 11433 11616 11840 12210 12284 12360 12463 13024 13184 13280 13431 13596 13695 14080 14208 14520 14608 15244 15355 15488 15936 16280 16480 16995 17098 17760 17908 18128 18260 18426 19055 19360 19536 19776 19920 20086 21120 21248 21912 22385 22660 22866 23232 23680 24420 24568 24720 24926 25647 26048 26368 26560 26862 27192 27390 28416 29040 29216 30129 30488 30710 30976 31872 32560 32960 33781 33990 34196 35520 35816 36256 36520 36852 37389 38110 38720 39072 39552 39840 40172 41921 42240 42745 43824 44770 45320 45732 46065 46464 47360 48840 49136 49440 49852 50215 51294 52096 53120 53724 54384 54780 57165 58080 58432 60258 60976 61420 62315 63744 65120 65920 67155 67562 67980 68392 71040 71632 72512 73040 73704 74778 76220 77440 78144 79104 79680 80344 83842 85490 87648 89540 90640 91464 92130 92928 94039 97680 98272 98880 99704 100430 101343 102588 104192 106240 107448 108768 109560 114330 116160 116864 120516 121952 122840 124630 125763 128235 130240 131840 134310 135124 135960 136784 142080 143264 145024 146080 147408 149556 150645 152440 154880 156288 159360 160688 167684 168905 170980 175296 179080 181280 182928 184260 186945 188078 195360 196544 197760 199408 200860 202686 205176 209605 214896 217536 219120 228660 232320 233728 241032 243904 245680 249260 251526 256470 260480 268620 270248 271920 273568 282117 286528 290048 292160 294816 299112 301290 304880 312576 316313 318720 321376 335368 337810 341960 350592 358160 362560 365856 368520 371591 373890 376156 390720 393088 395520 398816 401720 405372 410352 419210 429792 435072 438240 457320 461131 464640 470195 482064 487808 491360 498520 503052 506715 512940 520960 537240 540496 543840 547136 564234 573056 584320 589632 598224 602580 609760 628815 632626 642752 670736 675620 683920 701184 716320 725120 731712 737040 743182 747780 752312 781440 786176 797632 803440 810744 820704 838420 859584 870144 876480 914640 922262 940390 948939 964128 975616 982720 997040 1006104 1013430 1025880 1034429 1074480 1080992 1087680 1094272 1114773 1128468 1146112 1168640 1179264 1196448 1205160 1219520 1257630 1265252 1285504 1341472 1351240 1367840 1383393 1410585 1432640 1450240 1463424 1474080 1486364 1495560 1504624 1562880 1581565 1595264 1606880 1621488 1641408 1676840 1719168 1752960 1829280 1844524 1857955 1880780 1897878 1928256 1965440 1994080 2012208 2026860 2051760 2068858 2148960 2161984 2175360 2188544 2229546 2256936 2305655 2358528 2392896 2410320 2439040 2515260 2530504 2571008 2682944 2702480 2735680 2766786 2821170 2865280 2926848 2948160 2972728 2991120 3009248 3103287 3163130 3190528 3213760 3242976 3282816 3353680 3438336 3479443 3505920 3658560 3689048 3715910 3761560 3795756 3856512 3930880 3988160 4024416 4053720 4103520 4137716 4297920 4323968 4350720 4459092 4513872 4611310 4744695 4785792 4820640 4878080 5030520 5061008 5172145 5365888 5404960 5471360 5533572 5573865 5642340 5730560 5896320 5945456 5982240 6018496 6206574 6326260 6427520 6485952 6565632 6707360 6916965 6958886 7317120 7378096 7431820 7523120 7591512 7713024 7976320 8048832 8107440 8207040 8275432 8595840 8647936 8918184 9027744 9222620 9489390 9571584 9641280 10061040 10122016 10344290 10438329 10731776 10809920 10942720 11067144 11147730 11284680 11792640 11890912 11964480 12036992 12413148 12652520 12855040 12971904 13414720 13833930 13917772 14634240 14756192 14863640 15046240 15183024 15516435 15952640 16097664 16214880 16414080 16550864 17191680 17397215 17836368 18055488 18445240 18978780 19282560 20122080 20244032 20688580 20876658 21619840 22134288 22295460 22569360 23781824 23928960 24073984 24826296 25305040 25943808 26829440 27667860 27835544 29512384 29727280 30092480 30366048 31032870 32195328 32429760 32828160 33101728 34794430 35672736 36110976 36890480 37957560 38273873 38565120 40244160 40488064 41377160 41753316 43239680 44268576 44590920 45138720 47563648 47857920 49652592 50610080 52191645 53658880 55335720 55671088 59024768 59454560 60184960 60732096 62065740 64859520 66203456 69588860 71345472 72221952 73780960 75915120 76547746 80488320 80976128 82754320 83506632 88537152 89181840 90277440 95127296 99305184 101220160 104383290 110671440 111342176 114821619 118049536 118909120 120369920 121464192 124131480 129719040 132406912 139177720 142690944 147561920 151830240 153095492 160976640 165508640 167013264 177074304 178363680 180554880 191369365 198610368 202440320 208766580 221342880 222684352 229643238 237818240 242928384 248262960 264813824 278355440 285381888 295123840 303660480 306190984 331017280 334026528 354148608 356727360 361109760 382738730 397220736 404880640 417533160 442685760 445368704 459286476 475636480 496525920 556710880 574108095 590247680 607320960 612381968 662034560 668053056 713454720 765477460 794441472 835066320 885371520 890737408 918572952 993051840 1113421760 1148216190 1214641920 1224763936 1324069120 1336106112 1426909440 1530954920 1670132640 1770743040 1837145904 1986103680 2226843520 2296432380 2449527872 2672212224 3061909840 3340265280 3674291808 3972207360 4453687040 4592864760 4899055744 6123819680 6680530560 7348583616 9185729520 9798111488 12247639360 13361061120 14697167232 18371459040 24495278720 29394334464 36742918080 48990557440 73485836160 146971672320
• Sum of all divisors σ(n): 541476988416
• Sum of proper divisors (its aliquot sum) s(n): 394505316096
• 146971672320 is an abundant number, because the sum of its proper divisors (394505316096) is greater than itself. Its abundance is 247533643776

Bases of 146971672320

• Binary: 10001000111000001100011011111100000000₂
• Hexadecimal: 0x223831BF00
• Base-36: 1VIN505C

Squares and roots of 146971672320

• 146971672320 squared (146971672320²) is 21600672464537454182400
• 146971672320 cubed (146971672320³) is 3174686955349645536462706311168000
• The square root of 146971672320 is 383368.8463086169
• The cube root of 146971672320 is 5277.2930568897

Scales and comparisons

• 146,971,672,320 seconds is equal to 4,673 years, 12 weeks, 5 days, 32 minutes.
• To count from 1 to 146,971,672,320 would take you about nine thousand, three hundred forty-six 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 146971672320 cubic inches would be around 439.8 feet tall.

Recreational maths with 146971672320

• 146971672320 backwards is 023276179641
• 146971672320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146971672320's digits is 48
• More coming soon!