34980312672
34,980,312,672 is an even composite number composed of five prime numbers multiplied together.
34980312672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 34980312672:
25 × 39 × 19 × 37 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 37 × 79)See below for interesting mathematical facts about the number 34980312672 from the Numbermatics database.
Names of 34980312672
- Cardinal: 34980312672 can be written as Thirty-four billion, nine hundred eighty million, three hundred twelve thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 3.4980312672 × 1010
Factors of 34980312672
Divisors of 34980312672
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 37 38 48 54 57 72 74 76 79 81 96 108 111 114 144 148 152 158 162 171 216 222 228 237 243 288 296 304 316 324 333 342 432 444 456 474 486 513 592 608 632 648 666 684 703 711 729 864 888 912 948 972 999 1026 1184 1264 1296 1332 1368 1406 1422 1458 1501 1539 1776 1824 1896 1944 1998 2052 2109 2133 2187 2528 2592 2664 2736 2812 2844 2916 2923 2997 3002 3078 3552 3792 3888 3996 4104 4218 4266 4374 4503 4617 5328 5472 5624 5688 5832 5846 5994 6004 6156 6327 6399 6561 7584 7776 7992 8208 8436 8532 8748 8769 8991 9006 9234 10656 11248 11376 11664 11692 11988 12008 12312 12654 12798 13122 13509 13851 15984 16416 16872 17064 17496 17538 17982 18012 18468 18981 19197 19683 22496 22752 23328 23384 23976 24016 24624 25308 25596 26244 26307 26973 27018 27702 31968 33744 34128 34992 35076 35964 36024 36936 37962 38394 39366 40527 41553 46768 47952 48032 49248 50616 51192 52488 52614 53946 54036 55404 55537 56943 57591 67488 68256 69984 70152 71928 72048 73872 75924 76788 78732 78921 80919 81054 83106 93536 95904 101232 102384 104976 105228 107892 108072 110808 111074 113886 115182 121581 124659 140304 143856 144096 147744 151848 153576 157464 157842 161838 162108 166212 166611 170829 172773 202464 204768 209952 210456 215784 216144 221616 222148 227772 230364 236763 242757 243162 249318 280608 287712 303696 307152 314928 315684 323676 324216 332424 333222 341658 345546 364743 373977 420912 431568 432288 443232 444296 455544 460728 473526 485514 486324 498636 499833 512487 518319 607392 614304 629856 631368 647352 648432 664848 666444 683316 691092 710289 728271 729486 747954 841824 863136 888592 911088 921456 947052 971028 972648 997272 999666 1024974 1036638 1094229 1262736 1294704 1296864 1329696 1332888 1366632 1382184 1420578 1456542 1458972 1495908 1499499 1537461 1554957 1777184 1822176 1842912 1894104 1942056 1945296 1994544 1999332 2049948 2073276 2130867 2188458 2525472 2589408 2665776 2733264 2764368 2841156 2913084 2917944 2991816 2998998 3074922 3109914 3282687 3788208 3884112 3890592 3989088 3998664 4099896 4146552 4261734 4376916 4498497 4612383 5331552 5466528 5528736 5682312 5826168 5835888 5983632 5997996 6149844 6219828 6392601 6565374 7576416 7768224 7997328 8199792 8293104 8523468 8753832 8996994 9224766 9848061 11364624 11652336 11671776 11967264 11995992 12299688 12439656 12785202 13130748 13495491 13837149 15994656 16399584 16586208 17046936 17507664 17993988 18449532 19177803 19696122 22729248 23304672 23991984 24599376 24879312 25570404 26261496 26990982 27674298 29544183 34093872 35015328 35987976 36899064 38355606 39392244 40486473 47983968 49198752 49758624 51140808 52522992 53981964 55348596 57533409 59088366 68187744 71975952 73798128 76711212 78784488 80972946 102281616 105045984 107963928 110697192 115066818 118176732 121459419 143951904 147596256 153422424 157568976 161945892 204563232 215927856 221394384 230133636 236353464 242918838 306844848 315137952 323891784 364378257 431855712 442788768 460267272 472706928 485837676 613689696 647783568 728756514 920534544 945413856 971675352 1093134771 1295567136 1457513028 1841069088 1943350704 2186269542 2915026056 3886701408 4372539084 5830052112 8745078168 11660104224 17490156336 34980312672
- Sum of all divisors σ(n): 113088729600
- Sum of proper divisors (its aliquot sum) s(n): 78108416928
- 34980312672 is an abundant number, because the sum of its proper divisors (78108416928) is greater than itself. Its abundance is 43128104256
Bases of 34980312672
- Binary: 1000001001001111110100110110011000002
- Hexadecimal: 0x824FD3660
- Base-36: G2IDI00
Squares and roots of 34980312672
- 34980312672 squared (349803126722) is 1223622274630883779584
- 34980312672 cubed (349803126723) is 42802689759012167997541450088448
-
The
square root of 34980312672 is 187030.2453401587 -
The
cube root of 34980312672 is 3270.4528755813
Scales and comparisons
How big is 34980312672?- 34,980,312,672 seconds is equal to 1,112 years, 13 weeks, 5 days, 17 hours, 31 minutes, 12 seconds.
-
To count from 1 to 34,980,312,672 would take you about two thousand, two hundred twenty-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 34980312672 cubic inches would be around 272.5 feet tall.
Recreational maths with 34980312672
- 34980312672 backwards is 27621308943
- The number of decimal digits it has is: 11
- The sum of 34980312672's digits is 45
- More coming soon!
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