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125442240202053 = 32831391656772923
BaseRepresentation
bin11100100001011011001100…
…001010101100010101000101
3121110011011100101212010100100
4130201123030022230111011
5112420221201442431203
61122443211455434313
735264621436506415
oct3441331412542505
9543134311763310
10125442240202053
1136a7383435a065
121209b668525999
1354cc1ca04a968
1422d96188ca645
15e78091c65ea3
hex7216cc2ac545

125442240202053 has 48 divisors (see below), whose sum is σ = 184710354716160. Its totient is φ = 82020123247392.

The previous prime is 125442240202043. The next prime is 125442240202061. The reversal of 125442240202053 is 350202042244521.

125442240202053 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 42 + 2 + 402 + 0 + 205 + 3 = 666.

It is not a de Polignac number, because 125442240202053 - 26 = 125442240201989 is a prime.

It is a super-3 number, since 3×1254422402020533 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125442240201999 and 125442240202017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125442240202043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720164850 + ... + 1720237772.

It is an arithmetic number, because the mean of its divisors is an integer number (3848132389920).

Almost surely, 2125442240202053 is an apocalyptic number.

It is an amenable number.

125442240202053 is a deficient number, since it is larger than the sum of its proper divisors (59268114514107).

125442240202053 is a wasteful number, since it uses less digits than its factorization.

125442240202053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89718 (or 89715 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 125442240202053 its reverse (350202042244521), we get a palindrome (475644282446574).

The spelling of 125442240202053 in words is "one hundred twenty-five trillion, four hundred forty-two billion, two hundred forty million, two hundred two thousand, fifty-three".

Divisors: 1 3 9 83 139 249 417 747 1251 11537 16567 34611 49701 72923 103833 149103 218769 656307 1375061 2302813 4125183 6052609 6908439 10136297 12375549 18157827 20725317 30408891 54473481 91226673 191133479 573400437 841312651 1208115341 1720201311 2523937953 3624346023 7571813859 10873038069 100273573303 167928032399 300820719909 503784097197 902462159727 1511352291591 13938026689117 41814080067351 125442240202053