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203032931040 = 253251011395991
BaseRepresentation
bin1011110100010110110…
…1001010101011100000
3201102001201021112201200
42331011231022223200
511311302412243130
6233134432201200
720445226303362
oct2750555125340
9642051245650
10203032931040
1179118884185
1233423399200
13161b8793824
149b80c1ad32
155434870760
hex2f45b4aae0

203032931040 has 144 divisors (see below), whose sum is σ = 699710278176. Its totient is φ = 53606016000.

The previous prime is 203032931009. The next prime is 203032931077. The reversal of 203032931040 is 40139230302.

It is a happy number.

203032931040 is a `hidden beast` number, since 2 + 0 + 303 + 2 + 9 + 310 + 40 = 666.

203032931040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 203032930995 and 203032931013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552556 + ... + 843435.

It is an arithmetic number, because the mean of its divisors is an integer number (4859099154).

Almost surely, 2203032931040 is an apocalyptic number.

203032931040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203032931040 is an abundant number, since it is smaller than the sum of its proper divisors (496677347136).

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

203032931040 is a wasteful number, since it uses less digits than its factorization.

203032931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396113 (or 1396102 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 203032931040 in words is "two hundred three billion, thirty-two million, nine hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 1010 1212 1440 1515 1616 1818 2020 2424 3030 3232 3636 4040 4545 4848 6060 7272 8080 9090 9696 12120 14544 16160 18180 24240 29088 36360 48480 72720 145440 1395991 2791982 4187973 5583964 6979955 8375946 11167928 12563919 13959910 16751892 20939865 22335856 25127838 27919820 33503784 41879730 44671712 50255676 55839640 62819595 67007568 83759460 100511352 111679280 125639190 134015136 140995091 167518920 201022704 223358560 251278380 281990182 335037840 402045408 422985273 502556760 563980364 670075680 704975455 845970546 1005113520 1127960728 1268955819 1409950910 1691941092 2010227040 2114926365 2255921456 2537911638 2819901820 3383882184 4229852730 4511842912 5075823276 5639803640 6344779095 6767764368 8459705460 10151646552 11279607280 12689558190 13535528736 16919410920 20303293104 22559214560 25379116380 33838821840 40606586208 50758232760 67677643680 101516465520 203032931040