103142916800
103,142,916,800 is an even composite number composed of six prime numbers multiplied together.
103142916800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 103142916800:
26 × 52 × 7 × 114 × 17 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 11 × 11 × 17 × 37)See below for interesting mathematical facts about the number 103142916800 from the Numbermatics database.
Names of 103142916800
- Cardinal: 103142916800 can be written as One hundred three billion, one hundred forty-two million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.031429168 × 1011
Factors of 103142916800
Divisors of 103142916800
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 37 40 44 50 55 56 64 68 70 74 77 80 85 88 100 110 112 119 121 136 140 148 154 160 170 175 176 185 187 200 220 224 238 242 259 272 275 280 296 308 320 340 350 352 370 374 385 400 407 425 440 448 476 484 518 544 550 560 592 595 605 616 629 680 700 704 740 748 770 800 814 847 850 880 925 935 952 968 1036 1088 1100 1120 1184 1190 1210 1232 1258 1295 1309 1331 1360 1400 1480 1496 1540 1600 1628 1694 1700 1760 1850 1870 1904 1925 1936 2035 2057 2072 2200 2240 2368 2380 2420 2464 2516 2590 2618 2662 2720 2800 2849 2960 2975 2992 3025 3080 3145 3256 3388 3400 3520 3700 3740 3808 3850 3872 4070 4114 4144 4235 4400 4403 4477 4675 4760 4840 4928 5032 5180 5236 5324 5440 5600 5698 5920 5950 5984 6050 6160 6290 6475 6512 6545 6655 6776 6800 6919 7400 7480 7616 7700 7744 8140 8228 8288 8470 8800 8806 8954 9317 9350 9520 9680 10064 10175 10285 10360 10472 10648 11200 11396 11840 11900 11968 12100 12320 12580 12950 13024 13090 13310 13552 13600 13838 14245 14399 14641 14800 14960 15400 15725 16280 16456 16576 16940 17600 17612 17908 18634 18700 19040 19360 20128 20350 20570 20720 20944 21175 21296 22015 22385 22627 22792 23800 24200 24640 25160 25900 26048 26180 26620 27104 27200 27676 28490 28798 29282 29600 29920 30800 31339 31450 32560 32725 32912 33275 33880 34595 35224 35816 37268 37400 38080 38720 40256 40700 41140 41440 41888 42350 42592 44030 44770 45254 45584 46585 47600 48400 48433 49247 50320 51425 51800 52360 53240 54208 55352 56980 57596 58564 59200 59840 61600 62678 62900 65120 65450 65824 66550 67760 69190 70448 71225 71632 71995 73205 74536 74800 76109 81400 82280 82880 83776 84700 85184 88060 89540 90508 91168 93170 95200 96800 96866 98494 100640 102487 102850 103600 104720 106480 110075 110704 111925 113135 113960 115192 117128 123200 125356 125800 130240 130900 131648 133100 135520 138380 140896 142450 143264 143990 146410 149072 149600 152218 156695 158389 162800 164560 169400 172975 176120 179080 181016 182336 186340 190400 193600 193732 196988 201280 204974 205700 207200 209440 212960 220150 221408 223850 226270 227920 230384 232925 234256 242165 246235 248897 250712 251600 261800 266200 271040 276760 281792 284900 286528 287980 292820 298144 299200 304436 313390 316778 325600 329120 338800 344729 345950 352240 358160 359975 362032 366025 372680 380545 387464 393976 409948 411400 414400 418880 425920 440300 442816 447700 452540 455840 460768 465850 468512 484330 492470 497794 501424 503200 512435 523600 532400 532763 541717 553520 565675 569800 575960 585640 596288 608872 626780 633556 651200 658240 677600 689458 691900 704480 716320 719950 724064 732050 745360 761090 774928 783475 787952 791945 819896 822800 837199 880600 895400 905080 911680 921536 931700 937024 968660 984940 995588 1002848 1006400 1024870 1047200 1064800 1065526 1083434 1107040 1131350 1139600 1151920 1171280 1210825 1217744 1231175 1244485 1253560 1267112 1355200 1378916 1383800 1408960 1432640 1439900 1448128 1464100 1490720 1522180 1549856 1566950 1575904 1583890 1639792 1645600 1674398 1723645 1742279 1761200 1790800 1810160 1863400 1902725 1937320 1969880 1991176 2005696 2049740 2094400 2129600 2131052 2166868 2214080 2262700 2279200 2303840 2342560 2421650 2435488 2462350 2488970 2507120 2534224 2562175 2663815 2708585 2757832 2767600 2879800 2928200 2981440 3044360 3099712 3133900 3151808 3167780 3279584 3291200 3348796 3447290 3484558 3522400 3581600 3620320 3726800 3792019 3805450 3874640 3939760 3959725 3982352 4099480 4185995 4262104 4333736 4525400 4558400 4607680 4685120 4843300 4870976 4924700 4977940 5014240 5068448 5124350 5327630 5417170 5515664 5535200 5759600 5856400 5860393 6088720 6222425 6267800 6335560 6559168 6697592 6894580 6969116 7044800 7163200 7240640 7453600 7584038 7610900 7749280 7879520 7919450 7964704 8198960 8371990 8524208 8618225 8667472 8711395 9050800 9209189 9686600 9849400 9955880 10028480 10136896 10248700 10655260 10834340 11031328 11070400 11519200 11712800 11720786 12177440 12444850 12535600 12671120 13319075 13395184 13542925 13789160 13938232 14907200 15168076 15221800 15498560 15759040 15838900 15929408 16397920 16743980 17048416 17236450 17334944 17422790 18101600 18418378 18960095 19373200 19698800 19911760 20497400 20929975 21310520 21668680 22062656 23038400 23425600 23441572 24354880 24889700 25071200 25342240 26638150 26790368 27085850 27578320 27876464 29301965 30336152 30443600 31677800 32795840 33487960 34096832 34472900 34669888 34845580 36203200 36836756 37920190 38746400 39397600 39823520 40994800 41859950 42621040 43337360 43556975 46045945 46883144 49779400 50142400 50684480 53276300 53580736 54171700 55156640 55752928 58603930 60672304 60887200 63355600 64464323 66975920 68945800 69691160 73673512 75840380 77492800 78795200 79647040 81989600 83719900 85242080 86674720 87113950 92091890 93766288 94800475 99558800 106552600 108343400 110313280 111505856 117207860 121344608 121774400 126711200 128928646 133951840 137891600 139382320 146509825 147347024 151680760 163979200 167439800 170484160 173349440 174227900 184183780 187532576 189600950 199117600 213105200 216686800 230229725 234415720 242689216 253422400 257857292 267903680 275783200 278764640 293019650 294694048 303361520 322321615 334879600 348455800 368367560 375065152 379201900 398235200 426210400 433373600 460459450 468831440 515714584 551566400 557529280 586039300 589388096 606723040 644643230 669759200 696911600 736735120 758403800 852420800 866747200 920918900 937662880 1031429168 1172078600 1213446080 1289286460 1339518400 1393823200 1473470240 1516807600 1611608075 1841837800 1875325760 2062858336 2344157200 2578572920 2787646400 2946940480 3033615200 3223216150 3683675600 4125716672 4688314400 5157145840 6067230400 6446432300 7367351200 9376628800 10314291680 12892864600 14734702400 20628583360 25785729200 51571458400 103142916800
- Sum of all divisors σ(n): 346954266720
- Sum of proper divisors (its aliquot sum) s(n): 243811349920
- 103142916800 is an abundant number, because the sum of its proper divisors (243811349920) is greater than itself. Its abundance is 140668433120
Bases of 103142916800
- Binary: 11000000000111100110000000010110000002
- Hexadecimal: 0x1803CC02C0
- Base-36: 1BDSMNY8
Squares and roots of 103142916800
- 103142916800 squared (1031429168002) is 10638461286011722240000
- 103142916800 cubed (1031429168003) is 1097281927303128070825029632000000
-
The
square root of 103142916800 is 321158.7096748273 -
The
cube root of 103142916800 is 4689.7152019193
Scales and comparisons
How big is 103142916800?- 103,142,916,800 seconds is equal to 3,279 years, 32 weeks, 3 days, 18 hours, 13 minutes, 20 seconds.
-
To count from 1 to 103,142,916,800 would take you about six thousand, five hundred fifty-nine 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 103142916800 cubic inches would be around 390.8 feet tall.
Recreational maths with 103142916800
- 103142916800 backwards is 008619241301
- 103142916800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 103142916800's digits is 35
- More coming soon!
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