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241023153504540 = 223511691528490009
BaseRepresentation
bin110110110011010110010011…
…011100101000000100011100
31011121101120212222101101121010
4312303112103130220010130
5223042410404244121130
62212340301432135220
7101524230300564141
oct6663262334500434
91147346788341533
10241023153504540
116a885388768a30
1223047a9a537510
13a464502939404
1443738235923c8
151cce8730550b0
hexdb359372811c

241023153504540 has 96 divisors (see below), whose sum is σ = 737281615230720. Its totient is φ = 58345296883200.

The previous prime is 241023153504533. The next prime is 241023153504569. The reversal of 241023153504540 is 45405351320142.

It is a super-2 number, since 2×2410231535045402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 263788945 + ... + 264701064.

It is an arithmetic number, because the mean of its divisors is an integer number (7680016825320).

Almost surely, 2241023153504540 is an apocalyptic number.

241023153504540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241023153504540 is an abundant number, since it is smaller than the sum of its proper divisors (496258461726180).

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

241023153504540 is a wasteful number, since it uses less digits than its factorization.

241023153504540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528490723 (or 528490721 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 241023153504540 in words is "two hundred forty-one trillion, twenty-three billion, one hundred fifty-three million, five hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 691 1382 2073 2764 3455 4146 6910 7601 8292 10365 13820 15202 20730 22803 30404 38005 41460 45606 76010 91212 114015 152020 228030 456060 528490009 1056980018 1585470027 2113960036 2642450045 3170940054 5284900090 5813390099 6341880108 7927350135 10569800180 11626780198 15854700270 17440170297 23253560396 29066950495 31709400540 34880340594 58133900990 69760681188 87200851485 116267801980 174401702970 348803405940 365186596219 730373192438 1095559788657 1460746384876 1825932981095 2191119577314 3651865962190 4017052558409 4382239154628 5477798943285 7303731924380 8034105116818 10955597886570 12051157675227 16068210233636 20085262792045 21911195773140 24102315350454 40170525584090 48204630700908 60255788376135 80341051168180 120511576752270 241023153504540