1138472198877312
1,138,472,198,877,312 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1138472198877312 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
1138472198877312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 1138472198877312:
27 × 33 × 133 × 17 × 37 × 127 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 17 × 37 × 127 × 1877)See below for interesting mathematical facts about the number 1138472198877312 from the Numbermatics database.
Names of 1138472198877312
- Cardinal: 1138472198877312 can be written as One quadrillion, one hundred thirty-eight trillion, four hundred seventy-two billion, one hundred ninety-eight million, eight hundred seventy-seven thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.138472198877312 × 1015
Factors of 1138472198877312
Divisors of 1138472198877312
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 37 39 48 51 52 54 64 68 72 74 78 96 102 104 108 111 117 127 128 136 144 148 153 156 169 192 204 208 216 221 222 234 254 272 288 296 306 312 333 338 351 381 384 408 416 432 442 444 459 468 481 507 508 544 576 592 612 624 629 663 666 676 702 762 816 832 864 884 888 918 936 962 999 1014 1016 1088 1143 1152 1184 1224 1248 1258 1326 1332 1352 1404 1443 1521 1524 1632 1651 1664 1728 1768 1776 1836 1872 1877 1887 1924 1989 1998 2028 2032 2159 2176 2197 2286 2368 2448 2496 2516 2652 2664 2704 2808 2873 2886 3042 3048 3264 3302 3429 3456 3536 3552 3672 3744 3754 3774 3848 3978 3996 4056 4064 4318 4329 4394 4563 4572 4699 4736 4896 4953 4992 5032 5304 5328 5408 5616 5631 5661 5746 5772 5967 6084 6096 6253 6477 6528 6591 6604 6858 7072 7104 7344 7488 7508 7548 7696 7956 7992 8112 8128 8177 8619 8636 8658 8788 9126 9144 9398 9792 9906 10064 10608 10656 10816 11232 11262 11322 11492 11544 11934 12168 12192 12506 12954 12987 13182 13208 13716 14097 14144 14208 14688 14859 14976 15016 15096 15392 15912 15984 16224 16256 16354 16893 16983 17238 17272 17316 17576 18252 18288 18759 18796 19431 19584 19773 19812 20128 21216 21312 21463 21632 22464 22524 22644 22984 23088 23868 24336 24384 24401 24531 25012 25857 25908 25974 26364 26416 27432 28067 28194 28288 29376 29718 30032 30192 30784 31824 31909 31968 32448 32708 33786 33966 34476 34544 34632 35152 36504 36576 37349 37518 37592 38862 39546 39624 40256 42291 42432 42624 42926 44577 44928 45048 45288 45968 46176 47736 48672 48768 48802 49062 50024 50679 51714 51816 51948 52728 52832 54864 56134 56277 56388 58293 58752 59319 59436 60064 60384 61087 61568 63648 63818 63936 64389 64896 65416 67572 67932 68952 69088 69264 69449 70304 73008 73152 73203 73593 74698 75036 75184 77571 77724 79092 79248 79883 80512 81289 84201 84582 84864 85852 89154 90096 90576 91936 92352 95472 95727 97344 97604 98124 100048 101358 103428 103632 103896 105456 105664 106301 109728 112047 112268 112554 112776 116586 118638 118872 120128 120768 122174 126873 127296 127636 127872 128778 130832 135144 135864 137904 138176 138528 138898 140608 146016 146304 146406 147186 149396 150072 150368 155142 155448 158184 158496 159766 162578 168402 168831 169164 171704 178308 180192 181152 183261 183872 184704 190944 191454 193167 194688 195208 196248 200096 202716 206856 207264 207792 208347 210912 211328 212602 219456 219609 220779 224094 224536 225108 225552 233172 237276 237744 238379 239649 240256 241536 243867 244348 252603 253746 254592 255272 257556 261664 270288 271728 275808 276352 277056 277796 279019 281216 287181 292032 292812 294372 298792 300144 300736 310284 310896 316368 316992 317213 318903 319532 325156 336141 336804 337662 338328 343408 356616 360384 362304 364871 366522 367744 381888 382908 386334 390416 392496 400192 405432 413712 414528 414817 415584 416694 421824 425204 438912 439218 441558 448188 449072 450216 451104 466344 474552 475488 476758 479298 487734 488696 505206 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44029554816 45517039776 46409530752 46656784512 46689312618 46781401992 47698684384 49310126424 49533249168 50276991648 50544849888 50679852158 52629077241 53043479424 53419303626 53661019932 56561615604 57463769376 57577110144 58132771593 58590509952 60569919072 60689386368 62252416824 62375202656 64774248912 65746835232 65914323696 66044332224 67035988864 67393133184 69614296128 70033968927 70172102988 71225738168 71548026576 73965189636 75415487472 75817274832 76019778237 76618359168 77510362124 80128955439 80491529898 80759892096 83003222432 86195654064 86365665216 87662446976 87885764928 91034079552 93378625236 93562803984 95397368768 98620252848 99066498336 100553983296 101089699776 101359704316 105258154482 106838607252 107322039864 113123231208 114927538752 116265543186 121139838144 124504833648 124750405312 129548497824 131493670464 131828647392 132088664448 139228592256 140067937854 140344205976 142451476336 143096053152 147930379272 150830974944 151634549664 152039556474 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9730531614336 10256506296192 10541409248864 10946848066128 11161492145856 11859085404972 14595797421504 15384759444288 15812113873296 16742238218784 17788628107458 21082818497728 21893696132256 22322984291712 23718170809944 29191594843008 30769518888576 31624227746592 33484476437568 35577256214916 42165636995456 43787392264512 47436341619888 63248455493184 66968952875136 71154512429832 87574784529024 94872683239776 126496910986368 142309024859664 189745366479552 284618049719328 379490732959104 569236099438656 1138472198877312
- Sum of all divisors σ(n): 3991524397056000
- Sum of proper divisors (its aliquot sum) s(n): 2853052198178688
- 1138472198877312 is an abundant number, because the sum of its proper divisors (2853052198178688) is greater than itself. Its abundance is 1714579999301376
Bases of 1138472198877312
- Binary: 1000000101101101111001101110000000000110000100000002
- Hexadecimal: 0x40B6F37003080
- Base-36: B7JYWOQAO0
Squares and roots of 1138472198877312
- 1138472198877312 squared (11384721988773122) is 1296118947616541846713228345344
- 1138472198877312 cubed (11384721988773123) is 1475595388299551963557951710623362532222435328
-
The
square root of 1138472198877312 is 33741253.6648730941 -
The
cube root of 1138472198877312 is 104417.7049140145
Scales and comparisons
How big is 1138472198877312?- 1,138,472,198,877,312 seconds is equal to 36,199,894 years, 20 weeks, 5 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 1,138,472,198,877,312 would take you about one hundred eight million, five hundred ninety-nine thousand, six hundred eighty-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 1138472198877312 cubic inches would be around 8701.5 feet tall.
Recreational maths with 1138472198877312
- 1138472198877312 backwards is 2137788912748311
- 1138472198877312 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1138472198877312's digits is 72
- More coming soon!
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"Number 1138472198877312 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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The information we have on file for 1138472198877312 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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