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125052343500240 = 243251313360293109
BaseRepresentation
bin11100011011110000000100…
…100000110011110111010000
3121101202212221211102110221200
4130123300010200303313100
5112342324144414001430
61121544130432151200
735224506435310302
oct3433600440636720
9541685854373850
10125052343500240
1136933445886182
1212037b94998500
1354a1501926890
1422c47cc499972
15e6cd72332460
hex71bc04833dd0

125052343500240 has 120 divisors (see below), whose sum is σ = 452272642359720. Its totient is φ = 30782115320832.

The previous prime is 125052343500211. The next prime is 125052343500347. The reversal of 125052343500240 is 42005343250521.

125052343500240 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 523 + 43 + 50 + 0 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7083028668816 + 117969314831424 = 2661396^2 + 10861368^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1250523435002402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125052343500195 and 125052343500204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6680137195 + ... + 6680155914.

It is an arithmetic number, because the mean of its divisors is an integer number (3768938686331).

Almost surely, 2125052343500240 is an apocalyptic number.

125052343500240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125052343500240 is an abundant number, since it is smaller than the sum of its proper divisors (327220298859480).

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

125052343500240 is a wasteful number, since it uses less digits than its factorization.

125052343500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13360293141 (or 13360293132 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 125052343500240 its reverse (42005343250521), we get a palindrome (167057686750761).

The spelling of 125052343500240 in words is "one hundred twenty-five trillion, fifty-two billion, three hundred forty-three million, five hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 13360293109 26720586218 40080879327 53441172436 66801465545 80161758654 106882344872 120242637981 133602931090 160323517308 173683810417 200404396635 213764689744 240485275962 267205862180 320647034616 347367620834 400808793270 480970551924 521051431251 534411724360 601213189905 641294069232 694735241668 801617586540 868419052085 961941103848 1042102862502 1068823448720 1202426379810 1389470483336 1563154293753 1603235173080 1736838104170 1923882207696 2084205725004 2404852759620 2605257156255 2778940966672 3126308587506 3206470346160 3473676208340 4168411450008 4809705519240 5210514312510 6252617175012 6947352416680 7815771468765 8336822900016 9619411038480 10421028625020 12505234350024 13894704833360 15631542937530 20842057250040 25010468700048 31263085875060 41684114500080 62526171750120 125052343500240