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204040002024 = 23331858350833
BaseRepresentation
bin1011111000000110111…
…0110101100111101000
3201111122220021001102000
42332001232311213220
511320333220031044
6233422405211000
720512205254365
oct2760156654750
9644586231360
10204040002024
1179595297551
1233664700a60
1316319308311
149c3888946c
155492e9bd69
hex2f81bb59e8

204040002024 has 64 divisors (see below), whose sum is σ = 566819433600. Its totient is φ = 68008336128.

The previous prime is 204040002011. The next prime is 204040002041. The reversal of 204040002024 is 420200040402.

204040002024 is a `hidden beast` number, since 20 + 40 + 400 + 0 + 202 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204040001988 and 204040002006.

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, 3988512 + ... + 4039344.

It is an arithmetic number, because the mean of its divisors is an integer number (8856553650).

Almost surely, 2204040002024 is an apocalyptic number.

204040002024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204040002024 is an abundant number, since it is smaller than the sum of its proper divisors (362779431576).

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

204040002024 is a wasteful number, since it uses less digits than its factorization.

204040002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69431 (or 69421 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 204040002024 its reverse (420200040402), we get a palindrome (624240042426).

The spelling of 204040002024 in words is "two hundred four billion, forty million, two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18583 37166 50833 55749 74332 101666 111498 148664 152499 167247 203332 222996 304998 334494 406664 445992 457497 501741 609996 668988 914994 1003482 1219992 1337976 1372491 1829988 2006964 2744982 3659976 4013928 5489964 10979928 944629639 1889259278 2833888917 3778518556 5667777834 7557037112 8501666751 11335555668 17003333502 22671111336 25505000253 34006667004 51010000506 68013334008 102020001012 204040002024