349193011986432

Names of 349193011986432

• Cardinal: 349193011986432 can be written as Three hundred forty-nine trillion, one hundred ninety-three billion, eleven million, nine hundred eighty-six thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 3.49193011986432 × 10¹⁴

Factors of 349193011986432

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 119855

Divisors of 349193011986432

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 256 288 309 384 412 432 512 576 618 768 824 864 927 1024 1152 1236 1536 1648 1728 1854 2048 2304 2472 2781 3072 3296 3456 3708 4096 4608 4944 5562 6144 6592 6912 7416 8192 9216 9888 11124 12288 13184 13824 14832 16384 18432 19776 22248 24576 26368 27648 29664 32768 36864 39552 44496 49152 52736 55296 59328 65536 73728 79104 88992 98304 105472 110592 118656 119747 131072 147456 158208 177984 196608 210944 221184 237312 239494 262144 294912 316416 355968 359241 393216 421888 442368 474624 478988 524288 589824 632832 711936 718482 786432 843776 884736 949248 957976 1048576 1077723 1179648 1265664 1423872 1436964 1572864 1687552 1769472 1898496 1915952 2155446 2359296 2531328 2847744 2873928 3145728 3233169 3375104 3538944 3796992 3831904 4310892 4718592 5062656 5695488 5747856 6466338 6750208 7077888 7593984 7663808 8621784 9437184 10125312 11390976 11495712 12333941 12932676 13500416 14155776 15187968 15327616 17243568 20250624 22781952 22991424 24667882 25865352 27000832 28311552 30375936 30655232 34487136 37001823 40501248 45563904 45982848 49335764 51730704 54001664 60751872 61310464 68974272 74003646 81002496 91127808 91965696 98671528 103461408 108003328 111005469 121503744 122620928 137948544 148007292 162004992 182255616 183931392 197343056 206922816 222010938 243007488 245241856 275897088 296014584 324009984 333016407 364511232 367862784 394686112 413845632 444021876 486014976 490483712 551794176 592029168 666032814 729022464 735725568 789372224 827691264 888043752 972029952 980967424 1103588352 1184058336 1332065628 1458044928 1471451136 1578744448 1655382528 1776087504 1961934848 2207176704 2368116672 2664131256 2916089856 2942902272 3157488896 3310765056 3552175008 3923869696 4414353408 4736233344 5328262512 5885804544 6314977792 6621530112 7104350016 7847739392 8828706816 9472466688 10656525024 11771609088 12629955584 13243060224 14208700032 15695478784 17657413632 18944933376 21313050048 23543218176 25259911168 26486120448 28417400064 31390957568 35314827264 37889866752 42626100096 47086436352 50519822336 52972240896 56834800128 62781915136 70629654528 75779733504 85252200192 94172872704 101039644672 105944481792 113669600256 125563830272 141259309056 151559467008 170504400384 188345745408 202079289344 211888963584 227339200512 282518618112 303118934016 341008800768 376691490816 404158578688 423777927168 454678401024 565037236224 606237868032 682017601536 808317157376 847555854336 909356802048 1130074472448 1212475736064 1364035203072 1616634314752 1695111708672 1818713604096 2424951472128 2728070406144 3233268629504 3390223417344 3637427208192 4849902944256 5456140812288 6466537259008 7274854416384 9699805888512 10912281624576 12933074518016 14549708832768 19399611777024 21824563249152 29099417665536 38799223554048 43649126498304 58198835331072 87298252996608 116397670662144 174596505993216 349193011986432
• Sum of all divisors σ(n): 1044699293863680
• Sum of proper divisors (its aliquot sum) s(n): 695506281877248
• 349193011986432 is an abundant number, because the sum of its proper divisors (695506281877248) is greater than itself. Its abundance is 346313269890816

Bases of 349193011986432

• Binary: 1001111011001011011010101011100000000000000000000₂
• Hexadecimal: 0x13D96D5700000
• Base-36: 3FS11ZFUO0

Squares and roots of 349193011986432

• 349193011986432 squared (349193011986432²) is 121935759620156442426552090624
• 349193011986432 cubed (349193011986432³) is 42579115170615979655606030689048060722413568
• The square root of 349193011986432 is 18686706.8256135489
• The cube root of 349193011986432 is 70418.7829198981

Scales and comparisons

• 349,193,011,986,432 seconds is equal to 11,103,257 years, 34 weeks, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 349,193,011,986,432 would take you about twenty-seven million, seven hundred fifty-eight thousand, one hundred forty-four 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 349193011986432 cubic inches would be around 5868.2 feet tall.

Recreational maths with 349193011986432

• 349193011986432 backwards is 234689110391943
• The number of decimal digits it has is: 15
• The sum of 349193011986432's digits is 63
• More coming soon!