137738646383328

Names of 137738646383328

• Cardinal: 137738646383328 can be written as One hundred thirty-seven trillion, seven hundred thirty-eight billion, six hundred forty-six million, three hundred eighty-three thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37738646383328 × 10¹⁴

Factors of 137738646383328

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 156987

Divisors of 137738646383328

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 61 72 86 96 122 129 144 172 183 244 258 288 344 366 387 488 516 549 688 732 774 976 1032 1098 1171 1376 1464 1548 1952 2064 2196 2342 2623 2928 3096 3513 4128 4392 4684 5246 5856 6192 7026 7869 8784 9368 10492 10539 12384 14052 15738 17568 18736 20984 21078 23607 28104 31476 37472 41968 42156 47214 50353 56208 62952 71431 83936 84312 94428 100706 112416 125904 142862 151059 155707 168624 188856 201412 214293 251808 285724 302118 311414 337248 377712 402824 428586 453177 467121 571448 604236 622828 642879 755424 805648 857172 906354 934242 1142896 1208472 1245656 1285758 1401363 1611296 1714344 1812708 1868484 2285792 2416944 2491312 2571516 2802726 3071533 3428688 3625416 3736968 4833888 4982624 5143032 5605452 6143066 6695401 6857376 7250832 7473936 9214599 9498127 10286064 11210904 12286132 13390802 14501664 14947872 18429198 18996254 20086203 20572128 22421808 24572264 26781604 27643797 28494381 36858396 37992508 40172406 44843616 49144528 53563208 55287594 56988762 60258609 73716792 75985016 80344812 85483143 98289056 107126416 110575188 113977524 120517218 147433584 151970032 160689624 170966286 182332897 214252832 221150376 227955048 241034436 294867168 303940064 321379248 341932572 364665794 408419461 442300752 455910096 482068872 546998691 642758496 683865144 729331588 816838922 884601504 911820192 964137744 1093997382 1225258383 1367730288 1458663176 1633677844 1640996073 1928275488 2187994764 2450516766 2735460576 2917326352 3267355688 3281992146 3675775149 4375989528 4901033532 5834652704 6534711376 6563984292 7351550298 7840314571 8751979056 9802067064 11122306717 13069422752 13127968584 14703100596 15680629142 17503958112 19604134128 22244613434 23520943713 26255937168 29406201192 31361258284 33366920151 39208268256 44489226868 47041887426 52511874336 58812402384 62722516568 66733840302 70562831139 88978453736 94083774852 100100760453 117624804768 125445033136 133467680604 141125662278 177956907472 188167549704 200201520906 250890066272 266935361208 282251324556 355913814944 376335099408 400403041812 478259188831 533870722416 564502649112 752670198816 800806083624 956518377662 1067741444832 1129005298224 1434777566493 1601612167248 1913036755324 2258010596448 2869555132986 3203224334496 3826073510648 4304332699479 5739110265972 7652147021296 8608665398958 11478220531944 15304294042592 17217330797916 22956441063888 34434661595832 45912882127776 68869323191664 137738646383328
• Sum of all divisors σ(n): 407724497212032
• Sum of proper divisors (its aliquot sum) s(n): 269985850828704
• 137738646383328 is an abundant number, because the sum of its proper divisors (269985850828704) is greater than itself. Its abundance is 132247204445376

Bases of 137738646383328

• Binary: 11111010100010111000111000101101110101011100000₂
• Hexadecimal: 0x7D45C716EAE0
• Base-36: 1CTO9DR080

Squares and roots of 137738646383328

• 137738646383328 squared (137738646383328²) is 18971934707511475534716355584
• 137738646383328 cubed (137738646383328³) is 2613168605885510457174915705966450417303552
• The square root of 137738646383328 is 11736210.9040067953
• The cube root of 137738646383328 is 51643.8491099015

Scales and comparisons

• 137,738,646,383,328 seconds is equal to 4,379,662 years, 46 weeks, 6 days, 2 hours, 28 minutes, 48 seconds.
• To count from 1 to 137,738,646,383,328 would take you about ten million, nine hundred forty-nine thousand, one hundred fifty-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 137738646383328 cubic inches would be around 4303.7 feet tall.

Recreational maths with 137738646383328

• 137738646383328 backwards is 823383646837731
• 137738646383328 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137738646383328's digits is 72
• More coming soon!