146838134784

Names of 146838134784

• Cardinal: 146838134784 can be written as One hundred forty-six billion, eight hundred thirty-eight million, one hundred thirty-four thousand, seven hundred eighty-four.

Scientific notation

• Scientific notation: 1.46838134784 × 10¹¹

Factors of 146838134784

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 83

Divisors of 146838134784

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 67 88 96 121 128 132 134 176 192 201 242 256 264 268 352 363 384 402 484 512 528 536 704 726 737 768 804 968 1024 1056 1072 1331 1408 1452 1474 1536 1608 1936 2048 2112 2144 2211 2662 2816 2904 2948 3072 3216 3872 3993 4096 4224 4288 4422 4489 5324 5632 5808 5896 6144 6432 7744 7986 8107 8192 8448 8576 8844 8978 10648 11264 11616 11792 12288 12864 13467 15488 15972 16214 16896 17152 17688 17956 21296 22528 23232 23584 24321 24576 25728 26934 30976 31944 32428 33792 34304 35376 35912 42592 45056 46464 47168 48642 49379 51456 53868 61952 63888 64856 67584 68608 70752 71824 85184 89177 90112 92928 94336 97284 98758 102912 107736 123904 127776 129712 135168 137216 141504 143648 148137 170368 178354 185856 188672 194568 197516 205824 215472 247808 255552 259424 267531 270336 274432 283008 287296 296274 340736 356708 371712 377344 389136 395032 411648 430944 495616 511104 518848 535062 543169 548864 566016 574592 592548 681472 713416 743424 754688 778272 790064 823296 861888 991232 1022208 1037696 1070124 1086338 1132032 1149184 1185096 1362944 1426832 1486848 1509376 1556544 1580128 1629507 1646592 1723776 2044416 2075392 2140248 2172676 2264064 2298368 2370192 2725888 2853664 2973696 3018752 3113088 3160256 3259014 3447552 4088832 4150784 4280496 4345352 4528128 4596736 4740384 5451776 5707328 5974859 6037504 6226176 6320512 6518028 6895104 8177664 8301568 8560992 8690704 9056256 9193472 9480768 10903552 11414656 11949718 12452352 12641024 13036056 13790208 16355328 16603136 17121984 17381408 17924577 18112512 18386944 18961536 22829312 23899436 24904704 25282048 26072112 27580416 32710656 33206272 34243968 34762816 35849154 36773888 37923072 45658624 47798872 49809408 50564096 52144224 55160832 66412544 68487936 69525632 71698308 75846144 91317248 95597744 99618816 101128192 104288448 110321664 136975872 139051264 143396616 151692288 182634496 191195488 199237632 202256384 208576896 273951744 278102528 286793232 303384576 365268992 382390976 404512768 417153792 547903488 556205056 573586464 606769152 730537984 764781952 834307584 1095806976 1112410112 1147172928 1213538304 1529563904 1668615168 2191613952 2224820224 2294345856 3059127808 3337230336 4449640448 4588691712 6118255616 6674460672 9177383424 12236511232 13348921344 18354766848 24473022464 36709533696 48946044928 73419067392 146838134784
• Sum of all divisors σ(n): 437193330336
• Sum of proper divisors (its aliquot sum) s(n): 290355195552
• 146838134784 is an abundant number, because the sum of its proper divisors (290355195552) is greater than itself. Its abundance is 143517060768

Bases of 146838134784

• Binary: 10001000110000001111000010000000000000₂
• Hexadecimal: 0x22303C2000
• Base-36: 1VGFMTXC

Squares and roots of 146838134784

• 146838134784 squared (146838134784²) is 21561437826844150726656
• 146838134784 cubed (146838134784³) is 3166041313754977457762725269602304
• The square root of 146838134784 is 383194.6434698689
• The cube root of 146838134784 is 5275.6942674951

Scales and comparisons

• 146,838,134,784 seconds is equal to 4,668 years, 51 weeks, 6 days, 10 hours, 46 minutes, 24 seconds.
• To count from 1 to 146,838,134,784 would take you about nine thousand, three hundred thirty-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 146838134784 cubic inches would be around 439.6 feet tall.

Recreational maths with 146838134784

• 146838134784 backwards is 487431838641
• The number of decimal digits it has is: 12
• The sum of 146838134784's digits is 57
• More coming soon!