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240553130325521 = 132931193234122613
BaseRepresentation
bin110110101100100000100011…
…111000011111011000010001
31011112201122200020211222002112
4312230200203320133120101
5223012210302330404041
62211340325452155105
7101445250550514146
oct6654404370373021
91145648606758075
10240553130325521
116a714011952852
1222b90984768a95
13a42c0a8129340
144358b956a23cd
151cc2513ebcdeb
hexdac823e1f611

240553130325521 has 32 divisors (see below), whose sum is σ = 260281901873952. Its totient is φ = 221001482557440.

The previous prime is 240553130325517. The next prime is 240553130325523. The reversal of 240553130325521 is 125523031355042.

It can be written as a sum of positive squares in 16 ways, for example, as 15944759761921 + 224608370563600 = 3993089^2 + 14986940^2 .

It is not a de Polignac number, because 240553130325521 - 22 = 240553130325517 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240553130325523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10637813411 + ... + 10637836023.

It is an arithmetic number, because the mean of its divisors is an integer number (8133809433561).

Almost surely, 2240553130325521 is an apocalyptic number.

It is an amenable number.

240553130325521 is a deficient number, since it is larger than the sum of its proper divisors (19728771548431).

240553130325521 is a wasteful number, since it uses less digits than its factorization.

240553130325521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26453.

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 240553130325521 in words is "two hundred forty trillion, five hundred fifty-three billion, one hundred thirty million, three hundred twenty-five thousand, five hundred twenty-one".

Divisors: 1 13 293 1193 2341 3809 15509 22613 30433 293969 349549 685913 2792813 4544137 6625609 8916869 26977309 36306569 52937033 86132917 350705017 688181429 818294209 7904351537 10637824717 15510550669 63153880369 102756569981 201637158697 821000444797 18504086948117 240553130325521