145008106880
145,008,106,880 is an even composite number composed of six prime numbers multiplied together.
145008106880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 145008106880:
27 × 5 × 75 × 13 × 17 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 17 × 61)See below for interesting mathematical facts about the number 145008106880 from the Numbermatics database.
Names of 145008106880
- Cardinal: 145008106880 can be written as One hundred forty-five billion, eight million, one hundred six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.4500810688 × 1011
Factors of 145008106880
Divisors of 145008106880
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 49 52 56 61 64 65 68 70 80 85 91 98 104 112 119 122 128 130 136 140 160 170 182 196 208 221 224 238 244 245 260 272 280 305 320 340 343 364 392 416 427 442 448 455 476 488 490 520 544 560 595 610 637 640 680 686 728 784 793 832 833 854 884 896 910 952 976 980 1037 1040 1088 1105 1120 1190 1220 1274 1360 1372 1456 1547 1568 1586 1664 1666 1708 1715 1768 1820 1904 1952 1960 2074 2080 2135 2176 2210 2240 2380 2401 2440 2548 2720 2744 2912 2989 3094 3136 3172 3185 3332 3416 3430 3536 3640 3808 3904 3920 3965 4148 4160 4165 4270 4420 4459 4480 4760 4802 4880 5096 5185 5440 5488 5551 5824 5831 5978 6188 6272 6344 6370 6664 6832 6860 7072 7259 7280 7616 7735 7808 7840 7930 8296 8320 8330 8540 8840 8918 9520 9604 9760 10192 10370 10829 10880 10976 11102 11648 11662 11956 12005 12376 12688 12740 13328 13481 13664 13720 14144 14518 14560 14945 15232 15470 15680 15860 16592 16660 16807 17080 17680 17836 19040 19208 19520 20384 20740 20923 21658 21952 22204 22295 23324 23912 24010 24752 25376 25480 26656 26962 27328 27440 27755 28288 29036 29120 29155 29890 30940 31213 31360 31720 33184 33320 33614 34160 35360 35672 36295 38080 38416 38857 39040 40768 40817 41480 41846 43316 43904 44408 44590 46648 47824 48020 49504 50752 50813 50960 53312 53924 54145 54656 54880 55510 58072 58240 58310 59780 61880 62426 63440 66368 66640 67228 67405 68320 70720 71344 72590 75803 76160 76832 77714 81536 81634 82960 83692 84035 86632 88816 89180 93296 94367 95648 96040 99008 101504 101626 101920 104615 106624 107848 108290 109760 111020 116144 116620 119560 123760 124852 126880 132736 133280 134456 134810 136640 141440 142688 145180 146461 151606 153664 155428 156065 163268 165920 167384 168070 173264 177632 178360 186592 188734 191296 192080 194285 198016 203252 203840 204085 209230 215696 216580 218491 219520 222040 232288 233240 239120 247520 249704 253760 254065 266560 268912 269620 271999 273280 285376 285719 290360 292922 303212 307328 310856 312130 326536 331840 334768 336140 346528 355264 355691 356720 373184 377468 379015 382592 384160 388570 406504 407680 408170 418460 431392 433160 436982 444080 464576 466480 471835 478240 495040 499408 507520 508130 530621 533120 537824 539240 543998 570752 571438 580720 585844 606424 621712 624260 653072 660569 663680 669536 672280 693056 710528 711382 713440 732305 746368 754936 758030 768320 777140 813008 816340 836920 862784 866320 873964 888160 929152 932960 943670 956480 990080 998816 1016260 1025227 1061242 1075648 1078480 1087996 1092455 1142876 1161440 1171688 1212848 1243424 1248520 1306144 1321138 1339072 1344560 1359995 1386112 1422764 1426880 1428595 1464610 1509872 1516060 1536640 1554280 1626016 1632680 1673840 1725568 1732640 1747928 1776320 1778455 1865920 1887340 1903993 1912960 1997632 2032520 2050454 2122484 2151296 2156960 2175992 2184910 2285752 2322880 2343376 2425696 2486848 2489837 2497040 2612288 2642276 2653105 2678144 2689120 2719990 2845528 2853760 2857190 2929220 3019744 3032120 3108560 3252032 3265360 3302845 3347680 3465280 3495856 3552640 3556910 3714347 3731840 3774680 3807986 3995264 4065040 4100908 4244968 4313920 4351984 4369820 4571504 4623983 4645760 4686752 4851392 4973696 4979674 4994080 5126135 5224576 5284552 5306210 5378240 5439980 5691056 5714380 5858440 6039488 6064240 6217120 6504064 6530720 6605690 6695360 6930560 6991712 7113820 7428694 7549360 7615972 8130080 8201816 8489936 8627840 8703968 8739640 9143008 9247966 9373504 9519965 9702784 9959348 9988160 10252270 10569104 10612420 10756480 10879960 11382112 11428760 11716880 12078976 12128480 12434240 12449185 13061440 13211380 13327951 13390720 13983424 14227640 14857388 15098720 15231944 16260160 16403632 16979872 17407936 17428859 17479280 18286016 18495932 18571735 18747008 19039930 19918696 19976320 20504540 21138208 21224840 21759920 22764224 22857520 23119915 23433760 24256960 24868480 24898370 26122880 26422760 26655902 27966848 28455280 29714776 30197440 30463888 32367881 32520320 32807264 33959744 34815872 34857718 34958560 36572032 36991864 37143470 38079860 39837392 41009080 42276416 42449680 43519840 45528448 45715040 46239830 46867520 48513920 49796740 52845520 53311804 56910560 59429552 60394880 60927776 64735762 65614528 66639755 67919488 69715436 69917120 73983728 74286940 76159720 79674784 82018160 84552832 84899360 87039680 87144295 91430080 92479660 93735040 99593480 105691040 106623608 113821120 118859104 121855552 129471524 131229056 133279510 139430872 139834240 147967456 148573880 152319440 159349568 161839405 164036320 169798720 174079360 174288590 182860160 184959320 199186960 211382080 213247216 226575167 227642240 237718208 243711104 258943048 266559020 278861744 295934912 297147760 304638880 318699136 323678810 328072640 339597440 348577180 369918640 398373920 422764160 426494432 453150334 475436416 517886096 533118040 557723488 591869824 594295520 609277760 647357620 656145280 697154360 739837280 796747840 852988864 906300668 1035772192 1066236080 1115446976 1132875835 1188591040 1218555520 1294715240 1394308720 1479674560 1593495680 1705977728 1812601336 2071544384 2132472160 2230893952 2265751670 2377182080 2589430480 2788617440 2959349120 3625202672 4143088768 4264944320 4531503340 5178860960 5577234880 7250405344 8529888640 9063006680 10357721920 11154469760 14500810688 18126013360 20715443840 29001621376 36252026720 72504053440 145008106880
- Sum of all divisors σ(n): 468723749760
- Sum of proper divisors (its aliquot sum) s(n): 323715642880
- 145008106880 is an abundant number, because the sum of its proper divisors (323715642880) is greater than itself. Its abundance is 178707536000
Bases of 145008106880
- Binary: 100001110000110010100000011101100000002
- Hexadecimal: 0x21C3281D80
- Base-36: 1UM62ZCW
Squares and roots of 145008106880
- 145008106880 squared (1450081068802) is 21027351060921503334400
- 145008106880 cubed (1450081068803) is 3049136370045386746804951580672000
-
The
square root of 145008106880 is 380799.2999993567 -
The
cube root of 145008106880 is 5253.6857791889
Scales and comparisons
How big is 145008106880?- 145,008,106,880 seconds is equal to 4,610 years, 42 weeks, 13 hours, 41 minutes, 20 seconds.
-
To count from 1 to 145,008,106,880 would take you about nine thousand, two hundred twenty-one 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 145008106880 cubic inches would be around 437.8 feet tall.
Recreational maths with 145008106880
- 145008106880 backwards is 088601800541
- The number of decimal digits it has is: 12
- The sum of 145008106880's digits is 41
- More coming soon!
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