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203124400040 = 235171731726661
BaseRepresentation
bin1011110100101100101…
…0000101111110101000
3201102022002101122121102
42331023022011332220
511311444321300130
6233151500500532
720450416625012
oct2751312057650
9642262348542
10203124400040
11791654791a1
1233449b4a748
131620170b2b3
149b8d02b1b2
15543c8dc645
hex2f4b285fa8

203124400040 has 64 divisors (see below), whose sum is σ = 486711484560. Its totient is φ = 76028293120.

The previous prime is 203124400033. The next prime is 203124400069. The reversal of 203124400040 is 40004421302.

It can be written as a sum of positive squares in 8 ways, for example, as 196144465924 + 6979934116 = 442882^2 + 83546^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 203124399985 and 203124400021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745691 + ... + 980970.

Almost surely, 2203124400040 is an apocalyptic number.

203124400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203124400040 is an abundant number, since it is smaller than the sum of its proper divisors (283587084520).

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

203124400040 is a wasteful number, since it uses less digits than its factorization.

203124400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726862 (or 1726858 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 203124400040 its reverse (40004421302), we get a palindrome (243128821342).

The spelling of 203124400040 in words is "two hundred three billion, one hundred twenty-four million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 173 340 346 680 692 865 1384 1730 2941 3460 5882 6920 11764 14705 23528 29410 58820 117640 1726661 3453322 6906644 8633305 13813288 17266610 29353237 34533220 58706474 69066440 117412948 146766185 234825896 293532370 298712353 587064740 597424706 1174129480 1194849412 1493561765 2389698824 2987123530 5078110001 5974247060 10156220002 11948494120 20312440004 25390550005 40624880008 50781100010 101562200020 203124400040