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204242040432 = 24381945607
BaseRepresentation
bin1011111000110111000…
…1100011011001110000
3201112011222102200000000
42332031301203121300
511321241430243212
6233454423430000
720520210461553
oct2761561433160
9645158380000
10204242040432
1179689341a41
12337002b5300
131634c127381
149c5763c69a
1554a5aaa1dc
hex2f8dc63670

204242040432 has 90 divisors (see below), whose sum is σ = 593548578168. Its totient is φ = 68080645152.

The previous prime is 204242040413. The next prime is 204242040437. The reversal of 204242040432 is 234040242402.

204242040432 is a `hidden beast` number, since 2 + 0 + 4 + 24 + 204 + 0 + 432 = 666.

It is a super-2 number, since 2×2042420404322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204242040396 and 204242040405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204242040437) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 867828 + ... + 1077779.

Almost surely, 2204242040432 is an apocalyptic number.

It is an amenable number.

204242040432 is an abundant number, since it is smaller than the sum of its proper divisors (389306537736).

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

204242040432 is an frugal number, since it uses more digits than its factorization.

204242040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945639 (or 1945612 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 204242040432 its reverse (234040242402), we get a palindrome (438282282834).

The spelling of 204242040432 in words is "two hundred four billion, two hundred forty-two million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 26244 34992 52488 104976 1945607 3891214 5836821 7782428 11673642 15564856 17510463 23347284 31129712 35020926 46694568 52531389 70041852 93389136 105062778 140083704 157594167 210125556 280167408 315188334 420251112 472782501 630376668 840502224 945565002 1260753336 1418347503 1891130004 2521506672 2836695006 3782260008 4255042509 5673390012 7564520016 8510085018 11346780024 12765127527 17020170036 22693560048 25530255054 34040340072 51060510108 68080680144 102121020216 204242040432