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230443432403400 = 233252254950225237
BaseRepresentation
bin110100011001011001001010…
…111011011110000111001000
31010012221011210000121212211200
4310121121022323132013020
5220201041122143402100
62134040130144024200
766352663036161606
oct6431311273360710
91105834700555750
10230443432403400
1167476568a42267
1221a19593302060
139b7795124b738
1440c9743544876
151b99568751e00
hexd1964aede1c8

230443432403400 has 144 divisors (see below), whose sum is σ = 774209487460500. Its totient is φ = 61427472637440.

The previous prime is 230443432403383. The next prime is 230443432403479. The reversal of 230443432403400 is 4304234344032.

230443432403400 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 4 + 3 + 4 + 3 + 240 + 3 + 400 = 666.

230443432403400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 197364117265956 + 33079315137444 = 14048634^2 + 5751462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20524419 + ... + 29700818.

Almost surely, 2230443432403400 is an apocalyptic number.

230443432403400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230443432403400 is an abundant number, since it is smaller than the sum of its proper divisors (543766055057100).

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

230443432403400 is a wasteful number, since it uses less digits than its factorization.

230443432403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50227808 (or 50227796 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 230443432403400 its reverse (4304234344032), we get a palindrome (234747666747432).

The spelling of 230443432403400 in words is "two hundred thirty trillion, four hundred forty-three billion, four hundred thirty-two million, four hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2549 5098 7647 10196 12745 15294 20392 22941 25490 30588 38235 45882 50980 61176 63725 76470 91764 101960 114705 127450 152940 183528 191175 229410 254900 305880 382350 458820 509800 573525 764700 917640 1147050 1529400 2294100 4588200 50225237 100450474 150675711 200900948 251126185 301351422 401801896 452027133 502252370 602702844 753378555 904054266 1004504740 1205405688 1255630925 1506757110 1808108532 2009009480 2260135665 2511261850 3013514220 3616217064 3766892775 4520271330 5022523700 6027028440 7533785550 9040542660 10045047400 11300678325 15067571100 18081085320 22601356650 30135142200 45202713300 90405426600 128024129113 256048258226 384072387339 512096516452 640120645565 768144774678 1024193032904 1152217162017 1280241291130 1536289549356 1920361936695 2304434324034 2560482582260 3072579098712 3200603227825 3840723873390 4608868648068 5120965164520 5761085810085 6401206455650 7681447746780 9217737296136 9601809683475 11522171620170 12802412911300 15362895493560 19203619366950 23044343240340 25604825822600 28805429050425 38407238733900 46088686480680 57610858100850 76814477467800 115221716201700 230443432403400