10137375121504000
10,137,375,121,504,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 10137375121504000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
10137375121504000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 10137375121504000:
28 × 53 × 37 × 41 × 163 × 1281157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 37 × 41 × 163 × 1281157)See below for interesting mathematical facts about the number 10137375121504000 from the Numbermatics database.
Names of 10137375121504000
- Cardinal: 10137375121504000 can be written as Ten quadrillion, one hundred thirty-seven trillion, three hundred seventy-five billion, one hundred twenty-one million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.0137375121504 × 1016
Factors of 10137375121504000
Divisors of 10137375121504000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 41 50 64 74 80 82 100 125 128 148 160 163 164 185 200 205 250 256 296 320 326 328 370 400 410 500 592 640 652 656 740 800 815 820 925 1000 1025 1184 1280 1304 1312 1480 1517 1600 1630 1640 1850 2000 2050 2368 2608 2624 2960 3034 3200 3260 3280 3700 4000 4075 4100 4625 4736 5125 5216 5248 5920 6031 6068 6400 6520 6560 6683 7400 7585 8000 8150 8200 9250 9472 10250 10432 10496 11840 12062 12136 13040 13120 13366 14800 15170 16000 16300 16400 18500 20375 20500 20864 23680 24124 24272 26080 26240 26732 29600 30155 30340 32000 32600 32800 33415 37000 37925 40750 41000 41728 47360 48248 48544 52160 52480 53464 59200 60310 60680 65200 65600 66830 74000 75850 81500 82000 96496 97088 104320 106928 118400 120620 121360 130400 131200 133660 148000 150775 151700 163000 164000 167075 189625 192992 194176 208640 213856 236800 241240 242720 247271 260800 262400 267320 296000 301550 303400 326000 328000 334150 379250 385984 388352 427712 482480 485440 494542 521600 534640 592000 603100 606800 652000 656000 668300 753875 758500 771968 835375 855424 964960 970880 989084 1043200 1069280 1184000 1206200 1213600 1236355 1281157 1304000 1312000 1336600 1507750 1517000 1543936 1670750 1710848 1929920 1941760 1978168 2138560 2412400 2427200 2472710 2562314 2608000 2673200 3015500 3034000 3341500 3859840 3956336 4277120 4824800 4854400 4945420 5124628 5216000 5346400 6031000 6068000 6181775 6405785 6683000 7719680 7912672 8554240 9649600 9708800 9890840 10249256 10692800 12062000 12136000 12363550 12811570 13366000 15825344 19299200 19781680 20498512 21385600 24124000 24272000 24727100 25623140 26732000 30908875 31650688 32028925 38598400 39563360 40997024 42771200 47402809 48248000 48544000 49454200 51246280 52527437 53464000 61817750 63301376 64057850 79126720 81994048 94805618 96496000 98908400 102492560 105054874 106928000 123635500 128115700 158253440 160144625 163988096 189611236 192992000 197816800 204985120 208828591 210109748 213856000 237014045 247271000 256231400 262637185 316506880 320289250 327976192 379222472 395633600 409970240 417657182 420219496 474028090 494542000 512462800 525274370 640578500 758444944 791267200 819940480 835314364 840438992 948056180 989084000 1024925600 1044142955 1050548740 1185070225 1281157000 1313185925 1516889888 1582534400 1639880960 1670628728 1680877984 1896112360 1943515169 1978168000 2049851200 2088285910 2101097480 2370140450 2562314000 2626371850 3033779776 3341257456 3361755968 3792224720 3887030338 3956336000 4099702400 4176571820 4202194960 4740280900 5124628000 5220714775 5252743700 5925351125 6067559552 6565929625 6682514912 6723511936 7584449440 7726657867 7774060676 7912672000 8199404800 8353143640 8404389920 8561972231 9480561800 9717575845 10249256000 10441429550 10505487400 11850702250 12135119104 13131859250 13365029824 13447023872 15168898880 15453315734 15548121352 16706287280 16808779840 17123944462 18961123600 19435151690 20498512000 20882859100 21010974800 23701404500 26103573875 26263718500 26730059648 30337797760 30906631468 31096242704 33412574560 33617559680 34247888924 37922247200 38633289335 38870303380 40997024000 41765718200 42021949600 42809861155 47402809000 48587879225 52207147750 52527437000 53460119296 60675595520 61813262936 62192485408 66825149120 67235119360 68495777848 75844494400 77266578670 77740606760 83531436400 84043899200 85619722310 94805618000 97175758450 104414295500 105054874000 123626525872 124384970816 133650298240 136991555696 151688988800 154533157340 155481213520 167062872800 168087798400 171239444620 189611236000 193166446675 194351516900 208828591000 210109748000 214049305775 242939396125 247253051744 248769941632 267300596480 273983111392 303377977600 309066314680 310962427040 316792972547 334125745600 336175596800 342478889240 379222472000 386332893350 388703033800 417657182000 420219496000 428098611550 485878792250 494506103488 497539883264 547966222784 618132629360 621924854080 633585945094 668251491200 684957778480 758444944000 772665786700 777406067600 835314364000 840438992000 856197223100 965832233375 971757584500 989012206976 1070246528875 1095932445568 1236265258720 1243849708160 1267171890188 1336502982400 1369915556960 1516889888000 1545331573400 1554812135200 1583964862735 1670628728000 1680877984000 1712394446200 1931664466750 1943515169000 1978024413952 2140493057750 2191864891136 2472530517440 2487699416320 2534343780376 2739831113920 3090663146800 3109624270400 3167929725470 3341257456000 3424788892400 3863328933500 3887030338000 4280986115500 4945061034880 5068687560752 5479662227840 6181326293600 6219248540800 6335859450940 6682514912000 6849577784800 7726657867000 7774060676000 7919824313675 8561972231000 9890122069760 10137375121504 10959324455680 12362652587200 12438497081600 12671718901880 13699155569600 15453315734000 15548121352000 15839648627350 17123944462000 20274750243008 24725305174400 25343437803760 27398311139200 30906631468000 31096242704000 31679297254700 34247888924000 39599121568375 40549500486016 49450610348800 50686875607520 54796622278400 61813262936000 62192485408000 63358594509400 68495777848000 79198243136750 81099000972032 101373751215040 123626525872000 126717189018800 136991555696000 158396486273500 202747502430080 247253051744000 253434378037600 273983111392000 316792972547000 405495004860160 506868756075200 633585945094000 1013737512150400 1267171890188000 2027475024300800 2534343780376000 5068687560752000 10137375121504000
- Sum of all divisors σ(n): 26731598305007232
- Sum of proper divisors (its aliquot sum) s(n): 16594223183503232
- 10137375121504000 is an abundant number, because the sum of its proper divisors (16594223183503232) is greater than itself. Its abundance is 6456848061999232
Bases of 10137375121504000
- Binary: 1001000000001111100011100100110001001001110111000000002
- Hexadecimal: 0x2403E393127700
- Base-36: 2RTEDU82O74
Squares and roots of 10137375121504000
- 10137375121504000 squared (101373751215040002) is 102766374354088238763222016000000
- 10137375121504000 cubed (101373751215040003) is 1041781286704300808951455147134527832064000000000
-
The
square root of 10137375121504000 is 100684532.6825525867 -
The
cube root of 10137375121504000 is 216425.5380010285
Scales and comparisons
How big is 10137375121504000?- 10,137,375,121,504,000 seconds is equal to 322,337,171 years, 46 weeks, 6 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 10,137,375,121,504,000 would take you about nine hundred sixty-seven million, eleven thousand, five hundred fifteen 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 10137375121504000 cubic inches would be around 18035.5 feet tall.
Recreational maths with 10137375121504000
- 10137375121504000 backwards is 00040512157373101
- 10137375121504000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10137375121504000's digits is 40
- More coming soon!
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