100998918144

Names of 100998918144

• Cardinal: 100998918144 can be written as One hundred billion, nine hundred ninety-eight million, nine hundred eighteen thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.00998918144 × 10¹¹

Factors of 100998918144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 196

Divisors of 100998918144

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 47 48 51 54 64 68 72 81 94 96 102 108 127 128 136 141 144 153 162 188 192 204 216 243 254 256 272 282 288 306 324 376 381 384 408 423 432 459 486 508 512 544 564 576 612 648 752 762 768 799 816 846 864 918 972 1016 1024 1088 1128 1143 1152 1224 1269 1296 1377 1504 1524 1536 1598 1632 1692 1728 1836 1944 2032 2048 2159 2176 2256 2286 2304 2397 2448 2538 2592 2754 3008 3048 3072 3196 3264 3384 3429 3456 3672 3807 3888 4064 4096 4131 4318 4352 4512 4572 4608 4794 4896 5076 5184 5508 5969 6016 6096 6144 6392 6477 6528 6768 6858 6912 7191 7344 7614 7776 8128 8262 8636 8704 9024 9144 9216 9588 9792 10152 10287 10368 11016 11421 11938 12032 12192 12288 12784 12954 13056 13536 13716 13824 14382 14688 15228 15552 16256 16524 17272 17408 17907 18048 18288 18432 19176 19431 19584 20304 20574 20736 21573 22032 22842 23876 24064 24384 25568 25908 26112 27072 27432 27648 28764 29376 30456 30861 31104 32512 33048 34544 34816 35814 36096 36576 36864 38352 38862 39168 40608 41148 41472 43146 44064 45684 47752 48128 48768 51136 51816 52224 53721 54144 54864 55296 57528 58293 58752 60912 61722 62208 64719 65024 66096 69088 69632 71628 72192 73152 76704 77724 78336 81216 82296 82944 86292 88128 91368 95504 96256 97536 101473 102272 103632 104448 107442 108288 109728 110592 115056 116586 117504 121824 123444 124416 129438 130048 132192 138176 143256 144384 146304 153408 155448 156672 161163 162432 164592 165888 172584 174879 176256 182736 191008 192512 194157 195072 202946 204544 207264 208896 214884 216576 219456 230112 233172 235008 243648 246888 248832 258876 260096 264384 276352 286512 288768 292608 304419 306816 310896 313344 322326 324864 329184 331776 345168 349758 352512 365472 382016 388314 390144 405892 409088 414528 429768 433152 438912 460224 466344 470016 483489 487296 493776 497664 517752 520192 524637 528768 552704 573024 577536 585216 608838 613632 621792 626688 644652 649728 658368 690336 699516 705024 730944 764032 776628 780288 811784 818176 829056 859536 866304 877824 913257 920448 932688 940032 966978 974592 987552 995328 1035504 1049274 1057536 1105408 1146048 1170432 1217676 1227264 1243584 1289304 1299456 1316736 1380672 1399032 1410048 1450467 1461888 1528064 1553256 1560576 1623568 1636352 1658112 1719072 1732608 1755648 1826514 1840896 1865376 1880064 1933956 1949184 1975104 2071008 2098548 2115072 2210816 2292096 2340864 2435352 2454528 2487168 2578608 2598912 2633472 2739771 2761344 2798064 2820096 2900934 2923776 3056128 3106512 3247136 3272704 3316224 3438144 3511296 3653028 3681792 3730752 3867912 3898368 3950208 4142016 4197096 4230144 4421632 4584192 4681728 4870704 4909056 4974336 5157216 5197824 5266944 5479542 5522688 5596128 5640192 5801868 5847552 6112256 6213024 6494272 6632448 6876288 7022592 7306056 7363584 7461504 7735824 7796736 7900416 8219313 8284032 8394192 8460288 8843264 9168384 9741408 9818112 9948672 10314432 10533888 10959084 11045376 11192256 11603736 11695104 12224512 12426048 12988544 13264896 13752576 14045184 14612112 14727168 14923008 15471648 15593472 15800832 16438626 16568064 16788384 16920576 18336768 19482816 19897344 20628864 21067776 21918168 22090752 22384512 23207472 23390208 24449024 24657939 24852096 25977088 26529792 27505152 29224224 29454336 29846016 30943296 31601664 32877252 33136128 33576768 36673536 38965632 39794688 41257728 42135552 43836336 44181504 44769024 46414944 46780416 49315878 49704192 51954176 55010304 58448448 59692032 61886592 63203328 65754504 66272256 67153536 73347072 77931264 79589376 82515456 87672672 88363008 89538048 92829888 98631756 99408384 103908352 110020608 116896896 119384064 123773184 126406656 131509008 132544512 134307072 155862528 165030912 175345344 179076096 185659776 197263512 198816768 207816704 220041216 233793792 238768128 247546368 263018016 265089024 268614144 311725056 330061824 350690688 358152192 371319552 394527024 397633536 415633408 467587584 495092736 526036032 537228288 623450112 660123648 701381376 716304384 742639104 789054048 795267072 935175168 990185472 1052072064 1074456576 1246900224 1402762752 1485278208 1578108096 1870350336 1980370944 2104144128 2148913152 2805525504 2970556416 3156216192 3740700672 4208288256 5611051008 5941112832 6312432384 8416576512 11222102016 12624864768 16833153024 25249729536 33666306048 50499459072 100998918144
• Sum of all divisors σ(n): 329732702208
• Sum of proper divisors (its aliquot sum) s(n): 228733784064
• 100998918144 is an abundant number, because the sum of its proper divisors (228733784064) is greater than itself. Its abundance is 127734865920

Bases of 100998918144

• Binary: 1011110000100000000010011000000000000₂
• Hexadecimal: 0x1784013000
• Base-36: 1AEC5C00

Squares and roots of 100998918144

• 100998918144 squared (100998918144²) is 10200781466258412404736
• 100998918144 cubed (100998918144³) is 1030267892315465692417325461929984
• The square root of 100998918144 is 317803.2695615323
• The cube root of 100998918144 is 4656.9928799765

Scales and comparisons

• 100,998,918,144 seconds is equal to 3,211 years, 23 weeks, 3 days, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 100,998,918,144 would take you about six thousand, four hundred twenty-two 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 100998918144 cubic inches would be around 388.1 feet tall.

Recreational maths with 100998918144

• 100998918144 backwards is 441819899001
• 100998918144 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 100998918144's digits is 54
• More coming soon!