138116971063910400
138,116,971,063,910,400 is an even composite number composed of eight prime numbers multiplied together.
138116971063910400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138116971063910400:
213 × 3 × 52 × 19 × 29 × 137 × 181 × 16453
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 29 × 137 × 181 × 16453)See below for interesting mathematical facts about the number 138116971063910400 from the Numbermatics database.
Names of 138116971063910400
- Cardinal: 138116971063910400 can be written as One hundred thirty-eight quadrillion, one hundred sixteen trillion, nine hundred seventy-one billion, sixty-three million, nine hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.381169710639104 × 1017
Factors of 138116971063910400
Divisors of 138116971063910400
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 29 30 32 38 40 48 50 57 58 60 64 75 76 80 87 95 96 100 114 116 120 128 137 145 150 152 160 174 181 190 192 200 228 232 240 256 274 285 290 300 304 320 348 362 380 384 400 411 435 456 464 475 480 512 543 548 551 570 580 600 608 640 685 696 724 725 760 768 800 822 870 905 912 928 950 960 1024 1086 1096 1102 1140 1160 1200 1216 1280 1370 1392 1425 1448 1450 1520 1536 1600 1644 1653 1740 1810 1824 1856 1900 1920 2048 2055 2172 2175 2192 2204 2280 2320 2400 2432 2560 2603 2715 2740 2755 2784 2850 2896 2900 3040 3072 3200 3288 3306 3425 3439 3480 3620 3648 3712 3800 3840 3973 4096 4110 4344 4350 4384 4408 4525 4560 4640 4800 4864 5120 5206 5249 5430 5480 5510 5568 5700 5792 5800 6080 6144 6400 6576 6612 6850 6878 6960 7240 7296 7424 7600 7680 7809 7946 8192 8220 8265 8688 8700 8768 8816 9050 9120 9280 9600 9728 10240 10275 10317 10412 10498 10860 10960 11020 11136 11400 11584 11600 11919 12160 12288 12800 13015 13152 13224 13575 13700 13756 13775 13920 14480 14592 14848 15200 15360 15618 15747 15892 16440 16453 16530 17195 17376 17400 17536 17632 18100 18240 18560 19200 19456 19865 20480 20550 20634 20824 20996 21720 21920 22040 22272 22800 23168 23200 23838 24320 24576 24797 25600 26030 26245 26304 26448 27150 27400 27512 27550 27840 28960 29184 29696 30400 30720 31236 31494 31784 32880 32906 33060 34390 34752 34800 35072 35264 36200 36480 37120 38400 38912 39045 39730 40960 41100 41268 41325 41648 41992 43440 43840 44080 44544 45600 46336 46400 47676 48640 49359 49594 51200 51585 52060 52490 52608 52896 54300 54800 55024 55100 55680 57920 58368 59392 59595 60800 61440 62472 62988 63568 65075 65760 65812 66120 68780 69504 69600 70144 70528 72400 72960 74240 74391 75487 76800 77824 78090 78735 79460 82200 82265 82536 82650 83296 83984 85975 86880 87680 88160 89088 91200 92672 92800 95352 97280 98718 99188 99325 99731 102400 103170 104120 104980 105216 105792 108600 109600 110048 110200 111360 115840 116736 118784 119190 121600 122880 123985 124944 125976 127136 130150 131225 131520 131624 132240 137560 139008 139200 140288 141056 144800 145920 148480 148782 150974 153600 155648 156180 157470 158920 164400 164530 165072 165300 166592 167968 171950 173760 175360 176320 178176 182400 185344 185600 190704 194560 195225 197436 198376 198650 199462 204800 206340 208240 209960 210432 211584 217200 219200 220096 220400 222720 226461 231680 233472 237568 238380 243200 246795 247970 249888 251952 254272 257925 260300 262450 263040 263248 264480 275120 278016 278400 280576 282112 289600 291840 296960 297564 297975 299193 301948 307200 312360 312607 314940 317840 328800 329060 330144 330600 333184 335936 343900 347520 350720 352640 356352 364800 370688 371200 371955 377435 381408 389120 390450 393675 394872 396752 397300 398924 411325 412680 416480 419920 420864 423168 434400 438400 440192 440800 445440 452922 463360 466944 471143 476760 477137 486400 493590 495940 498655 499776 503904 508544 515850 520600 524900 526080 526496 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287743689716480 290772570660864 297665885913600 302888094438400 317510278307840 336051024486400 345292427659776 359679612145600 363465713326080 381538594099200 396887847884800 431615534574720 454332141657600 460389903546368 476265417461760 484620951101440 504076536729600 539519418218400 575487379432960 595331771827200 605776188876800 690584855319552 719359224291200 726931426652160 763077188198400 793775695769600 863231069149440 908664283315200 920779807092736 952530834923520 1008153073459200 1079038836436800 1150974758865920 1190663543654400 1211552377753600 1381169710639104 1438718448582400 1453862853304320 1587551391539200 1726462138298880 1817328566630400 1841559614185472 2158077672873600 2301949517731840 2381327087308800 2423104755507200 2762339421278208 2877436897164800 3452924276597760 3634657133260800 4316155345747200 4603899035463680 4762654174617600 5524678842556416 5754873794329600 6905848553195520 7269314266521600 8632310691494400 9207798070927360 11509747588659200 13811697106391040 17264621382988800 23019495177318400 27623394212782080 34529242765977600 46038990354636800 69058485531955200 138116971063910400
- Sum of all divisors σ(n): 503719001908012800
- Sum of proper divisors (its aliquot sum) s(n): 365602030844102400
- 138116971063910400 is an abundant number, because the sum of its proper divisors (365602030844102400) is greater than itself. Its abundance is 227485059780192000
Bases of 138116971063910400
- Binary: 1111010101011000010100111010001011011011110100000000000002
- Hexadecimal: 0x1EAB0A745B7A000
- Base-36: 11RYDOKGXPMO
Squares and roots of 138116971063910400
- 138116971063910400 squared (1381169710639104002) is 19076297695869062730881339228160000
- 138116971063910400 cubed (1381169710639104003) is 2634760456866887973260388881372655845967396864000000
-
The
square root of 138116971063910400 is 371640916.8322433249 -
The
cube root of 138116971063910400 is 516910.8901461213
Scales and comparisons
How big is 138116971063910400?- 138,116,971,063,910,400 seconds is equal to 4,391,692,455 years, 51 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 138,116,971,063,910,400 would take you about thirteen billion, one hundred seventy-five million, seventy-seven thousand, three hundred sixty-seven 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 138116971063910400 cubic inches would be around 43075.9 feet tall.
Recreational maths with 138116971063910400
- 138116971063910400 backwards is 004019360179611831
- 138116971063910400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138116971063910400's digits is 60
- More coming soon!
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"Number 138116971063910400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 138116971063910400 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138116971063910400/
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The information we have on file for 138116971063910400 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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