34920297984
34,920,297,984 is an even composite number composed of six prime numbers multiplied together.
34920297984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 34920297984:
29 × 3 × 112 × 13 × 97 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 97 × 149)See below for interesting mathematical facts about the number 34920297984 from the Numbermatics database.
Names of 34920297984
- Cardinal: 34920297984 can be written as Thirty-four billion, nine hundred twenty million, two hundred ninety-seven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 3.4920297984 × 1010
Factors of 34920297984
Divisors of 34920297984
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 97 104 121 128 132 143 149 156 176 192 194 208 242 256 264 286 291 298 312 352 363 384 388 416 429 447 484 512 528 572 582 596 624 704 726 768 776 832 858 894 968 1056 1067 1144 1164 1192 1248 1261 1408 1452 1536 1552 1573 1639 1664 1716 1788 1936 1937 2112 2134 2288 2328 2384 2496 2522 2816 2904 3104 3146 3201 3278 3328 3432 3576 3783 3872 3874 4224 4268 4576 4656 4719 4768 4917 4992 5044 5632 5808 5811 6208 6292 6402 6556 6656 6864 7152 7566 7744 7748 8448 8536 9152 9312 9438 9536 9834 9984 10088 11616 11622 11737 12416 12584 12804 13112 13728 13871 14304 14453 15132 15488 15496 16896 17072 18029 18304 18624 18876 19072 19668 19968 20176 21307 23232 23244 23474 24832 25168 25608 26224 27456 27742 28608 28906 30264 30976 30992 34144 35211 36058 36608 37248 37752 38144 39336 40352 41613 42614 43359 46464 46488 46948 49664 50336 51216 52448 54087 54912 55484 57216 57812 60528 61952 61984 63921 68288 70422 72116 73216 74496 75504 76288 78672 80704 83226 85228 86718 92928 92976 93896 100672 102432 104896 108174 109824 110968 114432 115624 121056 123968 127842 136576 140844 144232 148992 151008 152581 157344 158983 161408 166452 170456 173436 185856 185952 187792 187889 201344 204864 209792 216348 219648 221936 228864 231248 234377 242112 247936 255684 273152 281688 288464 302016 305162 314688 317966 322816 332904 340912 346872 371904 375584 375778 402688 409728 419584 432696 443872 457743 462496 468754 476949 484224 495872 511368 546304 563376 563667 576928 604032 610324 629376 635932 645632 665808 681824 693744 703131 743808 751168 751556 805376 819456 839168 865392 887744 915486 924992 937508 953898 968448 991744 1022736 1126752 1127334 1153856 1208064 1220648 1258752 1271864 1331616 1363648 1387488 1406262 1487616 1502336 1503112 1638912 1730784 1748813 1775488 1830972 1849984 1875016 1907796 1936896 2045472 2066779 2253504 2254668 2307712 2416128 2441296 2517504 2543728 2663232 2727296 2774976 2812524 2975232 3004672 3006224 3461568 3497626 3550976 3661944 3699968 3750032 3815592 4090944 4133558 4507008 4509336 4615424 4882592 5087456 5246439 5326464 5454592 5549952 5625048 6009344 6012448 6200337 6923136 6995252 7101952 7323888 7399936 7500064 7631184 8181888 8267116 9014016 9018672 9230848 9765184 10174912 10492878 10652928 10909184 11099904 11250096 12024896 12400674 13846272 13990504 14647776 15000128 15262368 16363776 16534232 18028032 18037344 19530368 20349824 20985756 21305856 22199808 22500192 22734569 24049792 24801348 27692544 27981008 29295552 30000256 30524736 32727552 33068464 36074688 39060736 40699648 41971512 45000384 45469138 48099584 49602696 55962016 58591104 60000512 61049472 66136928 68203707 72149376 78121472 81399296 83943024 90000768 90938276 96199168 99205392 111924032 117182208 120001024 122098944 132273856 136407414 144298752 167886048 180001536 181876552 198410784 223848064 234364416 244197888 264547712 272814828 288597504 335772096 360003072 363753104 396821568 447696128 529095424 545629656 671544192 727506208 793643136 895392256 1058190848 1091259312 1343088384 1455012416 1587286272 2182518624 2686176768 2910024832 3174572544 4365037248 5820049664 8730074496 11640099328 17460148992 34920297984
- Sum of all divisors σ(n): 112003768800
- Sum of proper divisors (its aliquot sum) s(n): 77083470816
- 34920297984 is an abundant number, because the sum of its proper divisors (77083470816) is greater than itself. Its abundance is 42163172832
Bases of 34920297984
- Binary: 1000001000010110100101110110000000002
- Hexadecimal: 0x821697600
- Base-36: G1IN6DC
Squares and roots of 34920297984
- 34920297984 squared (349202979842) is 1219427211291354464256
- 34920297984 cubed (349202979843) is 42582761588092227334788196859904
-
The
square root of 34920297984 is 186869.7353345373 -
The
cube root of 34920297984 is 3268.5814651707
Scales and comparisons
How big is 34920297984?- 34,920,297,984 seconds is equal to 1,110 years, 18 weeks, 4 days, 2 hours, 46 minutes, 24 seconds.
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To count from 1 to 34,920,297,984 would take you about two thousand, two hundred twenty 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 34920297984 cubic inches would be around 272.4 feet tall.
Recreational maths with 34920297984
- 34920297984 backwards is 48979202943
- The number of decimal digits it has is: 11
- The sum of 34920297984's digits is 57
- More coming soon!
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