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241332143400120 = 233529691100359359
BaseRepresentation
bin110110110111110110000100…
…101011100010010010111000
31011122111010110000101102200210
4312313312010223202102320
5223112441212202300440
62213134242310031120
7101555446326424563
oct6667660453422270
91148433400342623
10241332143400120
116a9944294848a3
12230979526484a0
13a4876a60bb056
1443847766394da
151cd7909a96a80
hexdb7d84ae24b8

241332143400120 has 128 divisors (see below), whose sum is σ = 750045712896000. Its totient is φ = 62046169489920.

The previous prime is 241332143400053. The next prime is 241332143400143. The reversal of 241332143400120 is 21004341233142.

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

It is a congruent number.

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, 47775000 + ... + 52584359.

It is an arithmetic number, because the mean of its divisors is an integer number (5859732132000).

Almost surely, 2241332143400120 is an apocalyptic number.

241332143400120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241332143400120 is an abundant number, since it is smaller than the sum of its proper divisors (508713569495880).

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

241332143400120 is a wasteful number, since it uses less digits than its factorization.

241332143400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100360093 (or 100360089 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 241332143400120 its reverse (21004341233142), we get a palindrome (262336484633262).

The spelling of 241332143400120 in words is "two hundred forty-one trillion, three hundred thirty-two billion, one hundred forty-three million, four hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 691 696 870 1160 1382 1740 2073 2764 3455 3480 4146 5528 6910 8292 10365 13820 16584 20039 20730 27640 40078 41460 60117 80156 82920 100195 120234 160312 200390 240468 300585 400780 480936 601170 801560 1202340 2404680 100359359 200718718 301078077 401437436 501796795 602156154 802874872 1003593590 1204312308 1505390385 2007187180 2408624616 2910421411 3010780770 4014374360 5820842822 6021561540 8731264233 11641685644 12043123080 14552107055 17462528466 23283371288 29104214110 34925056932 43656321165 58208428220 69348317069 69850113864 87312642330 116416856440 138696634138 174625284660 208044951207 277393268276 346741585345 349250569320 416089902414 554786536552 693483170690 832179804828 1040224756035 1386966341380 1664359609656 2011101195001 2080449512070 2773932682760 4022202390002 4160899024140 6033303585003 8044404780004 8321798048280 10055505975005 12066607170006 16088809560008 20111011950010 24133214340012 30166517925015 40222023900020 48266428680024 60333035850030 80444047800040 120666071700060 241332143400120