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204131203041040 = 245111072167918469
BaseRepresentation
bin101110011010011111111111…
…110110000100011100010000
3222202202202022111222211011221
4232122133333312010130100
5203223441200434303130
62002052325144014424
760665664335630362
oct5632377766043420
9882682274884157
10204131203041040
115a051614477640
121aa89bb2a61414
1389b964a279832
14385a008110d32
15188edc37e987a
hexb9a7ffd84710

204131203041040 has 80 divisors (see below), whose sum is σ = 522589754704320. Its totient is φ = 73535794434560.

The previous prime is 204131203040951. The next prime is 204131203041041. The reversal of 204131203041040 is 40140302131402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 204131203040996 and 204131203041014.

It is not an unprimeable number, because it can be changed into a prime (204131203041041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083865075 + ... + 1084053394.

It is an arithmetic number, because the mean of its divisors is an integer number (6532371933804).

Almost surely, 2204131203041040 is an apocalyptic number.

204131203041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204131203041040 is an abundant number, since it is smaller than the sum of its proper divisors (318458551663280).

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

204131203041040 is a wasteful number, since it uses less digits than its factorization.

204131203041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167918600 (or 2167918594 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 204131203041040 its reverse (40140302131402), we get a palindrome (244271505172442).

The spelling of 204131203041040 in words is "two hundred four trillion, one hundred thirty-one billion, two hundred three million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 176 214 220 428 440 535 856 880 1070 1177 1712 2140 2354 4280 4708 5885 8560 9416 11770 18832 23540 47080 94160 2167918469 4335836938 8671673876 10839592345 17343347752 21679184690 23847103159 34686695504 43358369380 47694206318 86716738760 95388412636 119235515795 173433477520 190776825272 231967276183 238471031590 381553650544 463934552366 476942063180 927869104732 953884126360 1159836380915 1855738209464 1907768252720 2319672761830 2551640038013 3711476418928 4639345523660 5103280076026 9278691047320 10206560152052 12758200190065 18557382094640 20413120304104 25516400380130 40826240608208 51032800760260 102065601520520 204131203041040