138748207104
138,748,207,104 is an even composite number composed of five prime numbers multiplied together.
What does the number 138748207104 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 504 divisors.
138748207104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 138748207104:
213 × 32 × 13 × 192 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 19 × 401)See below for interesting mathematical facts about the number 138748207104 from the Numbermatics database.
Names of 138748207104
- Cardinal: 138748207104 can be written as One hundred thirty-eight billion, seven hundred forty-eight million, two hundred seven thousand, one hundred four.
Scientific notation
- Scientific notation: 1.38748207104 × 1011
Factors of 138748207104
Divisors of 138748207104
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 64 72 76 78 96 104 114 117 128 144 152 156 171 192 208 228 234 247 256 288 304 312 342 361 384 401 416 456 468 494 512 576 608 624 684 722 741 768 802 832 912 936 988 1024 1083 1152 1203 1216 1248 1368 1444 1482 1536 1604 1664 1824 1872 1976 2048 2166 2223 2304 2406 2432 2496 2736 2888 2964 3072 3208 3249 3328 3609 3648 3744 3952 4096 4332 4446 4608 4693 4812 4864 4992 5213 5472 5776 5928 6144 6416 6498 6656 7218 7296 7488 7619 7904 8192 8664 8892 9216 9386 9624 9728 9984 10426 10944 11552 11856 12288 12832 12996 13312 14079 14436 14592 14976 15238 15639 15808 17328 17784 18432 18772 19248 19456 19968 20852 21888 22857 23104 23712 24576 25664 25992 26624 28158 28872 29184 29952 30476 31278 31616 34656 35568 36864 37544 38496 38912 39936 41704 42237 43776 45714 46208 46917 47424 51328 51984 53248 56316 57744 58368 59904 60952 62556 63232 68571 69312 71136 73728 75088 76992 77824 79872 83408 84474 87552 91428 92416 93834 94848 99047 102656 103968 106496 112632 115488 116736 119808 121904 125112 126464 137142 138624 142272 144761 150176 153984 155648 159744 166816 168948 175104 182856 184832 187668 189696 198094 205312 207936 225264 230976 233472 239616 243808 250224 252928 274284 277248 284544 289522 297141 300352 307968 319488 333632 337896 350208 365712 369664 375336 379392 396188 410624 415872 434283 450528 461952 466944 479232 487616 500448 505856 548568 554496 569088 579044 594282 600704 615936 667264 675792 700416 731424 739328 750672 758784 792376 821248 831744 868566 891423 901056 923904 958464 975232 1000896 1011712 1097136 1108992 1138176 1158088 1188564 1201408 1231872 1302849 1334528 1351584 1400832 1462848 1478656 1501344 1517568 1584752 1642496 1663488 1737132 1782846 1802112 1847808 1881893 1950464 2001792 2023424 2194272 2217984 2276352 2316176 2377128 2402816 2463744 2605698 2669056 2703168 2925696 2957312 3002688 3035136 3169504 3284992 3326976 3474264 3565692 3604224 3695616 3763786 3900928 4003584 4388544 4435968 4552704 4632352 4754256 4805632 4927488 5211396 5338112 5406336 5645679 5851392 6005376 6070272 6339008 6653952 6948528 7131384 7208448 7391232 7527572 7801856 8007168 8777088 8871936 9105408 9264704 9508512 9611264 9854976 10422792 10676224 10812672 11291358 11702784 12010752 12678016 13307904 13897056 14262768 14416896 14782464 15055144 15603712 16014336 16937037 17554176 18210816 18529408 19017024 19222528 20845584 21352448 21625344 22582716 23405568 24021504 25356032 26615808 27794112 28525536 28833792 29564928 30110288 31207424 32028672 33874074 35108352 37058816 38034048 38445056 41691168 42704896 43250688 45165432 46811136 48043008 50712064 55588224 57051072 57667584 60220576 62414848 64057344 67748148 70216704 74117632 76068096 83382336 86501376 90330864 93622272 96086016 101424128 111176448 114102144 115335168 120441152 128114688 135496296 140433408 148235264 152136192 166764672 173002752 180661728 187244544 192172032 202848256 222352896 228204288 240882304 270992592 280866816 296470528 304272384 333529344 346005504 361323456 384344064 405696512 444705792 456408576 481764608 541985184 561733632 592941056 608544768 667058688 722646912 811393024 889411584 912817152 963529216 1083970368 1185882112 1217089536 1334117376 1445293824 1778823168 1825634304 1927058432 2167940736 2434179072 2668234752 2890587648 3557646336 3651268608 3854116864 4335881472 5336469504 5781175296 7302537216 7708233728 8671762944 10672939008 11562350592 15416467456 17343525888 23124701184 34687051776 46249402368 69374103552 138748207104
- Sum of all divisors σ(n): 456684054372
- Sum of proper divisors (its aliquot sum) s(n): 317935847268
- 138748207104 is an abundant number, because the sum of its proper divisors (317935847268) is greater than itself. Its abundance is 179187640164
Bases of 138748207104
- Binary: 100000010011100000100110100000000000002
- Hexadecimal: 0x204E09A000
- Base-36: 1RQN3LS0
Squares and roots of 138748207104
- 138748207104 squared (1387482071042) is 19251064974574476066816
- 138748207104 cubed (1387482071043) is 2671050750064819899590877709860864
-
The
square root of 138748207104 is 372489.2040099955 -
The
cube root of 138748207104 is 5176.9717284989
Scales and comparisons
How big is 138748207104?- 138,748,207,104 seconds is equal to 4,411 years, 39 weeks, 5 days, 38 minutes, 24 seconds.
-
To count from 1 to 138,748,207,104 would take you about eight thousand, eight hundred twenty-three 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 138748207104 cubic inches would be around 431.4 feet tall.
Recreational maths with 138748207104
- 138748207104 backwards is 401702847831
- The number of decimal digits it has is: 12
- The sum of 138748207104's digits is 45
- More coming soon!
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