Search a number
-
+
143235040652100 = 223252193824611633
BaseRepresentation
bin100000100100010110000001…
…101101111010101101000100
3200210011010200020222001200100
4200210112001231322231010
5122233230330401331400
61224345134055244100
742112250556105555
oct4044260155725504
9623133606861610
10143235040652100
1141703704355731
1214093ab1379630
1361c0011017a27
142752881d5432c
151185d135b5100
hex824581b7ab44

143235040652100 has 108 divisors (see below), whose sum is σ = 451288507385716. Its totient is φ = 37998104002560.

The previous prime is 143235040652063. The next prime is 143235040652101. The reversal of 143235040652100 is 1256040532341.

143235040652100 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 35 + 0 + 406 + 5 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 27060616728324 + 116174423923776 = 5201982^2 + 10778424^2 .

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

It is not an unprimeable number, because it can be changed into a prime (143235040652101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 412132117 + ... + 412479516.

Almost surely, 2143235040652100 is an apocalyptic number.

143235040652100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

143235040652100 is an abundant number, since it is smaller than the sum of its proper divisors (308053466733616).

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

143235040652100 is a wasteful number, since it uses less digits than its factorization.

143235040652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824611846 (or 824611836 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 143235040652100 in words is "one hundred forty-three trillion, two hundred thirty-five billion, forty million, six hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 193 225 300 386 450 579 772 900 965 1158 1737 1930 2316 2895 3474 3860 4825 5790 6948 8685 9650 11580 14475 17370 19300 28950 34740 43425 57900 86850 173700 824611633 1649223266 2473834899 3298446532 4123058165 4947669798 7421504697 8246116330 9895339596 12369174495 14843009394 16492232660 20615290825 24738348990 29686018788 37107523485 41230581650 49476697980 61845872475 74215046970 82461163300 123691744950 148430093940 159150045169 185537617425 247383489900 318300090338 371075234850 477450135507 636600180676 742150469700 795750225845 954900271014 1432350406521 1591500451690 1909800542028 2387250677535 2864700813042 3183000903380 3978751129225 4774501355070 5729401626084 7161752032605 7957502258450 9549002710140 11936253387675 14323504065210 15915004516900 23872506775350 28647008130420 35808760163025 47745013550700 71617520326050 143235040652100