72153146016

Names of 72153146016

• Cardinal: 72153146016 can be written as Seventy-two billion, one hundred fifty-three million, one hundred forty-six thousand and sixteen.

Scientific notation

• Scientific notation: 7.2153146016 × 10¹⁰

Factors of 72153146016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 456

Divisors of 72153146016

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 127 144 147 168 196 224 252 254 288 294 317 336 381 392 441 504 508 588 634 672 762 784 882 889 951 1008 1016 1143 1176 1268 1524 1568 1764 1778 1902 2016 2032 2219 2286 2352 2536 2667 2853 3048 3528 3556 3804 4064 4438 4572 4704 5072 5334 5706 6096 6223 6657 7056 7112 7608 8001 8876 9144 10144 10668 11412 12192 12446 13314 14112 14224 15216 15533 16002 16129 17752 18288 18669 19971 21336 22824 24892 26628 28448 30432 31066 32004 32258 35504 36576 37338 39942 40259 42672 45648 46599 48387 49784 53256 56007 62132 64008 64516 71008 74676 79884 80518 85344 91296 93198 96774 99568 106512 112014 112903 120777 124264 128016 129032 139797 145161 149352 159768 161036 186396 193548 199136 213024 224028 225806 241554 248528 256032 258064 279594 281813 290322 298704 319536 322072 338709 362331 372792 387096 448056 451612 483108 497056 516128 559188 563626 580644 597408 639072 644144 677418 724662 745584 774192 790321 845439 896112 903224 966216 1016127 1118376 1127252 1161288 1288288 1354836 1449324 1491168 1548384 1580642 1690878 1792224 1806448 1932432 1972691 2032254 2236752 2254504 2322576 2370963 2536317 2709672 2898648 3161284 3381756 3612896 3864864 3945382 4064508 4473504 4509008 4645152 4741926 5072634 5112893 5419344 5797296 5918073 6322568 6763512 7112889 7890764 8129016 9018016 9483852 10145268 10225786 10838688 11594592 11836146 12645136 13527024 14225778 15338679 15781528 16258032 17754219 18967704 20290536 20451572 23672292 25290272 27054048 28451556 30677358 31563056 32516064 35508438 35790251 37935408 40581072 40903144 46016037 47344584 56903112 61354716 63126112 71016876 71580502 75870816 81162144 81806288 92032074 94689168 107370753 113806224 122709432 142033752 143161004 163612576 184064148 189378336 214741506 227612448 245418864 250531757 284067504 286322008 322112259 368128296 429483012 490837728 501063514 568135008 572644016 644224518 736256592 751595271 858966024 1002127028 1145288032 1288449036 1472513184 1503190542 1717932048 2004254056 2254785813 2576898072 3006381084 3435864096 4008508112 4509571626 5153796144 6012762168 8017016224 9019143252 10307592288 12025524336 18038286504 24051048672 36076573008 72153146016
• Sum of all divisors σ(n): 241338318858
• Sum of proper divisors (its aliquot sum) s(n): 169185172842
• 72153146016 is an abundant number, because the sum of its proper divisors (169185172842) is greater than itself. Its abundance is 97032026826

Bases of 72153146016

• Binary: 1000011001100101010011010001010100000₂
• Hexadecimal: 0x10CCA9A2A0
• Base-36: X5A4BS0

Squares and roots of 72153146016

• 72153146016 squared (72153146016²) is 5206076480006216672256
• 72153146016 cubed (72153146016³) is 375634796432351856141020784132096
• The square root of 72153146016 is 268613.3764651343
• The cube root of 72153146016 is 4163.1151549687

Scales and comparisons

• 72,153,146,016 seconds is equal to 2,294 years, 12 weeks, 5 days, 20 hours, 33 minutes, 36 seconds.
• To count from 1 to 72,153,146,016 would take you about four thousand, five hundred eighty-eight 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 72153146016 cubic inches would be around 346.9 feet tall.

Recreational maths with 72153146016

• 72153146016 backwards is 61064135127
• 72153146016 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 72153146016's digits is 36
• More coming soon!