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114322420040520 = 23355945735333117
BaseRepresentation
bin11001111111100111000011…
…001111001000001101001000
3112222210010011000102120112110
4121333213003033020031020
5104441024304012244040
61043050554510142320
733036344066614056
oct3177470317101510
9488703130376473
10114322420040520
113347695880836a
12109a454b1b19a0
134ba3733a87a53
14203333dc631d6
15d33bc62cb980
hex67f9c33c8348

114322420040520 has 128 divisors (see below), whose sum is σ = 349543469750400. Its totient is φ = 29903688062976.

The previous prime is 114322420040513. The next prime is 114322420040533. The reversal of 114322420040520 is 25040024223411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14430999 + ... + 20902118.

It is an arithmetic number, because the mean of its divisors is an integer number (2730808357425).

Almost surely, 2114322420040520 is an apocalyptic number.

114322420040520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114322420040520 is an abundant number, since it is smaller than the sum of its proper divisors (235221049709880).

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

114322420040520 is a wasteful number, since it uses less digits than its factorization.

114322420040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35333647 (or 35333643 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 114322420040520 its reverse (25040024223411), we get a palindrome (139362444263931).

The spelling of 114322420040520 in words is "one hundred fourteen trillion, three hundred twenty-two billion, four hundred twenty million, forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 457 472 590 708 885 914 1180 1371 1416 1770 1828 2285 2360 2742 3540 3656 4570 5484 6855 7080 9140 10968 13710 18280 26963 27420 53926 54840 80889 107852 134815 161778 215704 269630 323556 404445 539260 647112 808890 1078520 1617780 3235560 35333117 70666234 105999351 141332468 176665585 211998702 282664936 353331170 423997404 529996755 706662340 847994808 1059993510 1413324680 2084653903 2119987020 4169307806 4239974040 6253961709 8338615612 10423269515 12507923418 16147234469 16677231224 20846539030 25015846836 31269808545 32294468938 41693078060 48441703407 50031693672 62539617090 64588937876 80736172345 83386156120 96883406814 125079234180 129177875752 161472344690 193766813628 242208517035 250158468360 322944689380 387533627256 484417034070 645889378760 952686833671 968834068140 1905373667342 1937668136280 2858060501013 3810747334684 4763434168355 5716121002026 7621494669368 9526868336710 11432242004052 14290302505065 19053736673420 22864484008104 28580605010130 38107473346840 57161210020260 114322420040520