382638993010400

Names of 382638993010400

• Cardinal: 382638993010400 can be written as Three hundred eighty-two trillion, six hundred thirty-eight billion, nine hundred ninety-three million, ten thousand, four hundred.

Scientific notation

• Scientific notation: 3.826389930104 × 10¹⁴

Factors of 382638993010400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 6136

Divisors of 382638993010400

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 50 56 70 80 86 100 112 140 160 172 175 200 215 224 280 301 344 350 400 430 560 602 688 700 800 860 1075 1120 1204 1376 1400 1505 1720 1849 2150 2408 2800 3010 3440 3698 4300 4816 5600 6020 6079 6880 7396 7525 8600 9245 9632 12040 12158 12943 14792 15050 17200 18490 24080 24316 25886 29584 30100 30395 34400 36980 42553 46225 48160 48632 51772 59168 60200 60790 64715 73960 85106 92450 97264 103544 120400 121580 129430 147920 151975 170212 184900 194528 207088 212765 240800 243160 258860 261397 295840 303950 323575 340424 369800 414176 425530 486320 517720 522794 607900 647150 680848 739600 851060 972640 1035440 1045588 1063825 1215800 1294300 1306985 1361696 1479200 1702120 1829779 2070880 2091176 2127650 2431600 2588600 2613970 3404240 3659558 4182352 4255300 4863200 5177200 5227940 6534925 6808480 7319116 8364704 8510600 9148895 10354400 10455880 11240071 13069850 14638232 17021200 18297790 20911760 22480142 26139700 29276464 34042400 36595580 36954241 41823520 44960284 45744475 52279400 56200355 58552928 73191160 73908482 78680497 89920568 91488950 104558800 112400710 146382320 147816964 157360994 179841136 182977900 184771205 209117600 224801420 258679687 281001775 292764640 295633928 314721988 359682272 365955800 369542410 393402485 449602840 517359374 562003550 591267856 629443976 731911600 739084820 786804970 899205680 923856025 1034718748 1124007100 1182535712 1258887952 1293398435 1463823200 1478169640 1573609940 1589032363 1798411360 1847712050 1967012425 2069437496 2248014200 2517775904 2586796870 2956339280 3147219880 3178064726 3695424100 3934024850 4138874992 4496028400 5173593740 5912678560 6294439760 6356129452 6466992175 7390848200 7868049700 7945161815 8277749984 8992056800 10347187480 11123226541 12588879520 12712258904 12933984350 14781696400 15736099400 15890323630 20694374960 22246453082 25424517808 25867968700 29563392800 31472198800 31780647260 39725809075 41388749920 44492906164 50849035616 51735937400 55616132705 62944397600 63561294520 68328391609 79451618150 88985812328 103471874800 111232265410 127122589040 136656783218 158903236300 177971624656 206943749600 222464530820 254245178080 273313566436 278080663525 317806472600 341641958045 355943249312 444929061640 478298741263 546627132872 556161327050 635612945200 683283916090 889858123280 956597482526 1093254265744 1112322654100 1271225890400 1366567832180 1708209790225 1779716246560 1913194965052 2186508531488 2224645308200 2391493706315 2733135664360 3416419580450 3826389930104 4449290616400 4782987412630 5466271328720 6832839160900 7652779860208 8898581232800 9565974825260 10932542657440 11957468531575 13665678321800 15305559720416 19131949650520 23914937063150 27331356643600 38263899301040 47829874126300 54662713287200 76527798602080 95659748252600 191319496505200 382638993010400
• Sum of all divisors σ(n): 1093147028690472
• Sum of proper divisors (its aliquot sum) s(n): 710508035680072
• 382638993010400 is an abundant number, because the sum of its proper divisors (710508035680072) is greater than itself. Its abundance is 327869042669672

Bases of 382638993010400

• Binary: 1010111000000001000010101010000010110111011100000₂
• Hexadecimal: 0x15C0215416EE0
• Base-36: 3RMTXCZQ3K

Squares and roots of 382638993010400

• 382638993010400 squared (382638993010400²) is 146412598972012940054508160000
• 382638993010400 cubed (382638993010400³) is 56023169434686557594735302029249764864000000
• The square root of 382638993010400 is 19561160.3186109593
• The cube root of 382638993010400 is 72598.8500534007

Scales and comparisons

• 382,638,993,010,400 seconds is equal to 12,166,736 years, 20 weeks, 4 days, 17 hours, 33 minutes, 20 seconds.
• To count from 1 to 382,638,993,010,400 would take you about thirty million, four hundred sixteen thousand, eight hundred forty 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 382638993010400 cubic inches would be around 6049.9 feet tall.

Recreational maths with 382638993010400

• 382638993010400 backwards is 004010399836283
• 382638993010400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 382638993010400's digits is 56
• More coming soon!