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204341705151540 = 223511228146240379
BaseRepresentation
bin101110011101100100000010…
…101111111001010000110100
3222210111212122202211222220220
4232131210002233321100310
5203240413303004322130
62002333141114454340
761020125642223345
oct5635440257712064
9883455582758826
10204341705151540
115a122915420900
121ab0295b7343b0
138a034562c9a78
143866296cda0cc
1518955e3c60410
hexb9d902bf9434

204341705151540 has 72 divisors (see below), whose sum is σ = 628899595050720. Its totient is φ = 49537383065280.

The previous prime is 204341705151509. The next prime is 204341705151559. The reversal of 204341705151540 is 45151507143402.

It is a happy number.

204341705151540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204341705151492 and 204341705151501.

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, 14073112930 + ... + 14073127449.

Almost surely, 2204341705151540 is an apocalyptic number.

204341705151540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204341705151540 is an abundant number, since it is smaller than the sum of its proper divisors (424557889899180).

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

204341705151540 is a wasteful number, since it uses less digits than its factorization.

204341705151540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28146240413 (or 28146240400 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 204341705151540 in words is "two hundred four trillion, three hundred forty-one billion, seven hundred five million, one hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 28146240379 56292480758 84438721137 112584961516 140731201895 168877442274 281462403790 309608644169 337754884548 422193605685 562924807580 619217288338 844387211370 928825932507 1238434576676 1548043220845 1688774422740 1857651865014 3096086441690 3405695085859 3715303730028 4644129662535 6192172883380 6811390171718 9288259325070 10217085257577 13622780343436 17028475429295 18576518650140 20434170515154 34056950858590 40868341030308 51085426287885 68113901717180 102170852575770 204341705151540