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56143742400 = 2632523898871
BaseRepresentation
bin110100010010011011…
…011000010111000000
312100220202100121210200
4310102123120113000
51404440244224100
641443031125200
74025202636114
oct642233302700
9170822317720
1056143742400
11218a0751709
12aa6a513800
1353a9856365
142a08679744
1516d8e22e00
hexd126d85c0

56143742400 has 126 divisors (see below), whose sum is σ = 199548167832. Its totient is φ = 14971660800.

The previous prime is 56143742387. The next prime is 56143742407. The reversal of 56143742400 is 424734165.

56143742400 is a `hidden beast` number, since 5 + 614 + 37 + 4 + 2 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56143742407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1935036 + ... + 1963835.

Almost surely, 256143742400 is an apocalyptic number.

56143742400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56143742400 is an abundant number, since it is smaller than the sum of its proper divisors (143404425432).

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

56143742400 is a wasteful number, since it uses less digits than its factorization.

56143742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898899 (or 3898881 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 56143742400 in words is "fifty-six billion, one hundred forty-three million, seven hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 3898871 7797742 11696613 15595484 19494355 23393226 31190968 35089839 38988710 46786452 58483065 62381936 70179678 77977420 93572904 97471775 116966130 124763872 140359356 155954840 175449195 187145808 194943550 233932260 249527744 280718712 292415325 311909680 350898390 374291616 389887100 467864520 561437424 584830650 623819360 701796780 748583232 779774200 877245975 935729040 1122874848 1169661300 1247638720 1403593560 1559548400 1754491950 1871458080 2245749696 2339322600 2807187120 3119096800 3508983900 3742916160 4678645200 5614374240 6238193600 7017967800 9357290400 11228748480 14035935600 18714580800 28071871200 56143742400