146796489216
146,796,489,216 is an even composite number composed of six prime numbers multiplied together.
146796489216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 146796489216:
29 × 34 × 13 × 29 × 41 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 29 × 41 × 229)See below for interesting mathematical facts about the number 146796489216 from the Numbermatics database.
Names of 146796489216
- Cardinal: 146796489216 can be written as One hundred forty-six billion, seven hundred ninety-six million, four hundred eighty-nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.46796489216 × 1011
Factors of 146796489216
Divisors of 146796489216
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 41 48 52 54 58 64 72 78 81 82 87 96 104 108 116 117 123 128 144 156 162 164 174 192 208 216 229 232 234 246 256 261 288 312 324 328 348 351 369 377 384 416 432 458 464 468 492 512 522 533 576 624 648 656 687 696 702 738 754 768 783 832 864 916 928 936 984 1044 1053 1066 1107 1131 1152 1189 1248 1296 1312 1374 1392 1404 1476 1508 1536 1566 1599 1664 1728 1832 1856 1872 1968 2061 2088 2106 2132 2214 2262 2304 2349 2378 2496 2592 2624 2748 2784 2808 2952 2977 3016 3132 3198 3321 3328 3393 3456 3567 3664 3712 3744 3936 4122 4176 4212 4264 4428 4524 4608 4698 4756 4797 4992 5184 5248 5496 5568 5616 5904 5954 6032 6183 6264 6396 6641 6642 6656 6786 6912 7134 7328 7424 7488 7872 8244 8352 8424 8528 8856 8931 9048 9389 9396 9512 9594 9984 10179 10368 10496 10701 10992 11136 11232 11808 11908 12064 12366 12528 12792 13282 13284 13572 13824 14268 14391 14656 14848 14976 15457 15744 16488 16704 16848 17056 17712 17862 18096 18549 18778 18792 19024 19188 19923 19968 20358 20736 20992 21402 21984 22272 22464 23616 23816 24128 24732 25056 25584 26564 26568 26793 27144 28167 28536 28782 29312 29952 30537 30914 31488 32103 32976 33408 33696 34112 35424 35724 36192 37098 37556 37584 38048 38376 39846 40716 41472 42804 43173 43968 44544 44928 46371 47232 47632 48256 49464 50112 51168 53128 53136 53586 54288 56334 57072 57564 58624 59769 59904 61074 61828 62976 64206 65952 66816 67392 68224 70848 71448 72384 74196 75112 75168 76096 76752 79692 80379 81432 84501 85608 86333 86346 87936 89856 92742 94464 95264 96309 96512 98928 100224 102336 106256 106272 107172 108576 112668 114144 115128 117248 119538 122057 122148 123656 128412 131904 133632 134784 136448 139113 141696 142896 144768 148392 150224 150336 152192 153504 159384 160758 162864 169002 171216 172666 172692 175872 179307 179712 185484 188928 190528 192618 193024 197856 200448 204672 212512 212544 214344 217152 225336 228288 230256 239076 241137 244114 244296 247312 253503 256824 258999 263808 269568 272281 272896 278226 283392 285792 289536 296784 300448 300672 304384 307008 318768 321516 325728 338004 342432 345332 345384 351744 358614 366171 370968 381056 385236 395712 400896 409344 417339 425024 425088 428688 434304 450672 456576 460512 478152 482274 488228 488592 494624 507006 513648 517998 527616 537921 539136 544562 556452 566784 571584 579072 593568 600896 601344 608768 614016 637536 643032 651456 676008 684864 690664 690768 717228 732342 741936 760509 762112 770472 776997 791424 816843 818688 834678 850048 850176 857376 868608 901344 913152 921024 956304 964548 976456 977184 989248 1014012 1027296 1035996 1055232 1075842 1089124 1098513 1112904 1143168 1187136 1201792 1202688 1228032 1252017 1275072 1286064 1302912 1352016 1369728 1381328 1381536 1434456 1464684 1483872 1521018 1524224 1540944 1553994 1582848 1633686 1669356 1700096 1700352 1714752 1737216 1802688 1826304 1842048 1912608 1929096 1952912 1954368 1978496 2028024 2054592 2071992 2151684 2178248 2197026 2225808 2286336 2330991 2374272 2403584 2450529 2456064 2504034 2550144 2572128 2605824 2704032 2739456 2762656 2763072 2868912 2929368 2967744 3042036 3081888 3107988 3165696 3267372 3295539 3338712 3400192 3429504 3539653 3605376 3684096 3825216 3858192 3905824 3908736 3956992 4056048 4109184 4143984 4303368 4356496 4394052 4451616 4572672 4661982 4748544 4807168 4901058 5008068 5100288 5144256 5211648 5408064 5478912 5525312 5526144 5737824 5858736 5935488 6084072 6163776 6215976 6534744 6591078 6677424 6859008 6992973 7079306 7210752 7351587 7368192 7650432 7716384 7811648 7817472 7913984 8112096 8218368 8287968 8606736 8712992 8788104 8903232 9323964 9497088 9802116 9886617 10016136 10200576 10288512 10618959 10816128 11050624 11052288 11475648 11717472 11870976 12168144 12327552 12431952 13069488 13182156 13354848 13718016 13985946 14158612 14421504 14703174 15300864 15432768 15623296 15634944 16224192 16436736 16575936 17213472 17425984 17576208 17806464 18647928 19604232 19773234 20032272 20577024 21237918 21632256 22054761 22101248 22104576 22951296 23434944 23741952 24336288 24655104 24863904 26138976 26364312 26709696 27971892 28317224 29406348 30601728 30865536 31246592 31856877 32448384 33151872 34426944 34851968 35152416 35612928 37295856 39208464 39546468 40064544 41154048 42475836 43264512 44109522 44202496 45902592 46869888 48672576 49310208 49727808 52277952 52728624 53419392 55943784 56634448 58812696 61731072 62493184 63713754 64896768 66303744 68853888 69703936 70304832 71225856 74591712 78416928 79092936 80129088 84951672 88219044 91805184 93739776 95570631 97345152 99455616 104555904 105457248 106838784 111887568 113268896 117625392 123462144 127427508 129793536 132607488 137707776 139407872 140609664 149183424 156833856 158185872 160258176 169903344 176438088 187479552 191141262 194690304 198911232 209111808 210914496 213677568 223775136 226537792 235250784 254855016 275415552 281219328 286711893 298366848 313667712 316371744 320516352 339806688 352876176 382282524 389380608 397822464 418223616 421828992 447550272 453075584 470501568 509710032 562438656 573423786 596733696 627335424 632743488 641032704 679613376 705752352 764565048 843657984 895100544 906151168 941003136 1019420064 1146847572 1193467392 1254670848 1265486976 1359226752 1411504704 1529130096 1687315968 1790201088 1812302336 1882006272 2038840128 2293695144 2530973952 2718453504 2823009408 3058260192 3580402176 3764012544 4077680256 4587390288 5061947904 5436907008 5646018816 6116520384 8155360512 9174780576 11292037632 12233040768 16310721024 18349561152 24466081536 36699122304 48932163072 73398244608 146796489216
- Sum of all divisors σ(n): 502212387600
- Sum of proper divisors (its aliquot sum) s(n): 355415898384
- 146796489216 is an abundant number, because the sum of its proper divisors (355415898384) is greater than itself. Its abundance is 208619409168
Bases of 146796489216
- Binary: 100010001011011100000010101010000000002
- Hexadecimal: 0x222DC0AA00
- Base-36: 1VFQU800
Squares and roots of 146796489216
- 146796489216 squared (1467964892162) is 21549209246143204294656
- 146796489216 cubed (1467964892163) is 3163348262714788378832154390429696
-
The
square root of 146796489216 is 383140.2996501413 -
The
cube root of 146796489216 is 5275.1954641495
Scales and comparisons
How big is 146796489216?- 146,796,489,216 seconds is equal to 4,667 years, 35 weeks, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 146,796,489,216 would take you about nine thousand, three hundred thirty-five 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 146796489216 cubic inches would be around 439.6 feet tall.
Recreational maths with 146796489216
- 146796489216 backwards is 612984697641
- The number of decimal digits it has is: 12
- The sum of 146796489216's digits is 63
- More coming soon!
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