Search a number
-
+
125025004240000 = 27541679358159
BaseRepresentation
bin11100011011010110100110…
…111101110011110010000000
3121101200021101111210011100121
4130123112212331303302000
5112341402202041140000
61121523405525030024
735222521104400234
oct3433264675636200
9541607344704317
10125025004240000
1136922896553327
1212032824b55314
13549ba65880307
1422c33575845c4
15e6c2c20d5b1a
hex71b5a6f73c80

125025004240000 has 160 divisors (see below), whose sum is σ = 313105691606400. Its totient is φ = 49710535296000.

The previous prime is 125025004239983. The next prime is 125025004240021. The reversal of 125025004240000 is 42400520521.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8680921 + ... + 18039079.

It is an arithmetic number, because the mean of its divisors is an integer number (1956910572540).

Almost surely, 2125025004240000 is an apocalyptic number.

125025004240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125025004240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156552845803200).

125025004240000 is an abundant number, since it is smaller than the sum of its proper divisors (188080687366400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125025004240000 is an frugal number, since it uses more digits than its factorization.

125025004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9358360 (or 9358333 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 125025004240000 its reverse (42400520521), we get a palindrome (125067404760521).

The spelling of 125025004240000 in words is "one hundred twenty-five trillion, twenty-five billion, four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 167 200 250 320 334 400 500 625 640 668 800 835 1000 1250 1336 1600 1670 2000 2500 2672 3200 3340 4000 4175 5000 5344 6680 8000 8350 10000 10688 13360 16000 16700 20000 20875 21376 26720 33400 40000 41750 53440 66800 80000 83500 104375 106880 133600 167000 208750 267200 334000 417500 534400 668000 835000 1336000 1670000 2672000 3340000 6680000 9358159 13360000 18716318 37432636 46790795 74865272 93581590 149730544 187163180 233953975 299461088 374326360 467907950 598922176 748652720 935815900 1169769875 1197844352 1497305440 1562812553 1871631800 2339539750 2994610880 3125625106 3743263600 4679079500 5848849375 5989221760 6251250212 7486527200 7814062765 9358159000 11697698750 12502500424 14973054400 15628125530 18716318000 23395397500 25005000848 29946108800 31256251060 37432636000 39070313825 46790795000 50010001696 62512502120 74865272000 78140627650 93581590000 100020003392 125025004240 149730544000 156281255300 187163180000 195351569125 200040006784 250050008480 312562510600 374326360000 390703138250 500100016960 625125021200 748652720000 781406276500 976757845625 1000200033920 1250250042400 1562812553000 1953515691250 2500500084800 3125625106000 3907031382500 5001000169600 6251250212000 7814062765000 12502500424000 15628125530000 25005000848000 31256251060000 62512502120000 125025004240000