138817829359040
138,817,829,359,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138817829359040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
138817829359040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138817829359040:
26 × 5 × 13 × 37 × 61 × 757 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 37 × 61 × 757 × 19531)See below for interesting mathematical facts about the number 138817829359040 from the Numbermatics database.
Names of 138817829359040
- Cardinal: 138817829359040 can be written as One hundred thirty-eight trillion, eight hundred seventeen billion, eight hundred twenty-nine million, three hundred fifty-nine thousand and forty.
Scientific notation
- Scientific notation: 1.3881782935904 × 1014
Factors of 138817829359040
Divisors of 138817829359040
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 37 40 52 61 64 65 74 80 104 122 130 148 160 185 208 244 260 296 305 320 370 416 481 488 520 592 610 740 757 793 832 962 976 1040 1184 1220 1480 1514 1586 1924 1952 2080 2257 2368 2405 2440 2960 3028 3172 3785 3848 3904 3965 4160 4514 4810 4880 5920 6056 6344 7570 7696 7930 9028 9620 9760 9841 11285 11840 12112 12688 15140 15392 15860 18056 19240 19520 19531 19682 22570 24224 25376 28009 29341 30280 30784 31720 36112 38480 39062 39364 45140 46177 48448 49205 50752 56018 58682 60560 63440 72224 76960 78124 78728 90280 92354 97655 98410 112036 117364 121120 126880 140045 144448 146705 153920 156248 157456 180560 184708 195310 196820 224072 230885 234728 242240 253760 253903 280090 293410 312496 314912 361120 364117 369416 390620 393640 448144 461770 469456 507806 560180 586820 600301 624992 629824 722240 722647 728234 738832 781240 787280 896288 923540 938912 1015612 1120360 1173640 1191391 1200602 1249984 1269515 1445294 1456468 1477664 1562480 1574560 1708549 1792576 1820585 1847080 1877824 2031224 2240720 2347280 2382782 2401204 2539030 2890588 2912936 2955328 3001505 3124960 3149120 3417098 3613235 3641170 3694160 4062448 4481440 4694560 4765564 4802408 5078060 5781176 5825872 5956955 6003010 6249920 6834196 7226470 7282340 7388320 8124896 8542745 8962880 9389120 9394411 9531128 9604816 10156120 11562352 11651744 11913910 12006020 13668392 14452940 14564680 14776640 14784967 15488083 16249792 17085490 18788822 19062256 19209632 20312240 22211137 23124704 23303488 23827820 24012040 27336784 28905880 29129360 29569934 30976166 34170980 37577644 38124512 38419264 40624480 44081467 44422274 46249408 46972055 47655640 48024080 54673568 57811760 58258720 59139868 61952332 68341960 73924835 75155288 76249024 77440415 81248960 88162934 88844548 93944110 95311280 96048160 109347136 111055685 115623520 116517440 118279736 123904664 136683920 147849670 150310576 154880830 176325868 177689096 187888220 190622560 192096320 192204571 220407335 222111370 231247040 236559472 247809328 273367840 295699340 300621152 309761660 352651736 355378192 375776440 381245120 384409142 440814670 444222740 473118944 495618656 546735680 547043779 573059071 591398680 601242304 619523320 705303472 710756384 751552880 768818284 881629340 888445480 901882987 946237888 961022855 991237312 1094087558 1146118142 1182797360 1239046640 1410606944 1421512768 1503105760 1537636568 1763258680 1776890960 1803765974 1922045710 2188175116 2292236284 2365594720 2478093280 2735218895 2821213888 2865295355 3006211520 3075273136 3526517360 3553781920 3607531948 3844091420 4376350232 4509414935 4584472568 4731189440 4956186560 5470437790 5730590710 6150546272 7053034720 7107563840 7111569127 7215063896 7688182840 8752700464 9018829870 9168945136 10940875580 11461181420 11724478831 12301092544 14106069440 14223138254 14430127792 15376365680 17505400928 18037659740 18337890272 21881751160 22922362840 23448957662 28446276508 28860255584 30752731360 33369670519 35010801856 35557845635 36075319480 36675780544 43763502320 45844725680 46897915324 56892553016 57720511168 58622394155 61505462720 66739341038 71115691270 72150638960 87527004640 91689451360 93795830648 113785106032 117244788310 133478682076 142231382540 144301277920 166848352595 175054009280 183378902720 187591661296 227570212064 234489576620 266957364152 284462765080 288602555840 333696705190 375183322592 433805716747 455140424128 468979153240 533914728304 568925530160 667393410380 750366645184 867611433494 937958306480 1067829456608 1137851060320 1334786820760 1735222866988 1875916612960 2135658913216 2169028583735 2275702120640 2669573641520 3470445733976 3751833225920 4338057167470 5339147283040 6940891467952 8676114334940 10678294566080 13881782935904 17352228669880 27763565871808 34704457339760 69408914679520 138817829359040
- Sum of all divisors σ(n): 372112461694848
- Sum of proper divisors (its aliquot sum) s(n): 233294632335808
- 138817829359040 is an abundant number, because the sum of its proper divisors (233294632335808) is greater than itself. Its abundance is 94476802976768
Bases of 138817829359040
- Binary: 111111001000001000010110110100001001101110000002
- Hexadecimal: 0x7E410B684DC0
- Base-36: 1D7G13FHKW
Squares and roots of 138817829359040
- 138817829359040 squared (1388178293590402) is 19270389747955547777229721600
- 138817829359040 cubed (1388178293590403) is 2675073675713887066046765460722965643264000
-
The
square root of 138817829359040 is 11782097.8335371159 -
The
cube root of 138817829359040 is 51778.3749866715
Scales and comparisons
How big is 138817829359040?- 138,817,829,359,040 seconds is equal to 4,413,977 years, 30 weeks, 1 day, 19 hours, 17 minutes, 20 seconds.
-
To count from 1 to 138,817,829,359,040 would take you about eleven million, thirty-four thousand, nine hundred forty-three 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 138817829359040 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138817829359040
- 138817829359040 backwards is 040953928718831
- The number of decimal digits it has is: 15
- The sum of 138817829359040's digits is 68
- More coming soon!
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