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204242141400 = 233521130945779
BaseRepresentation
bin1011111000110111000…
…1111100000011011000
3201112011222121210111120
42332031301330003120
511321241442011100
6233454425525240
720520211362123
oct2761561740330
9645158553446
10204242141400
1179689400890
1233700343820
131634c16130b
149c576673ba
1554a5aca0a0
hex2f8dc7c0d8

204242141400 has 96 divisors (see below), whose sum is σ = 690709809600. Its totient is φ = 49513244800.

The previous prime is 204242141371. The next prime is 204242141417. The reversal of 204242141400 is 4141242402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15466290 + ... + 15479489.

It is an arithmetic number, because the mean of its divisors is an integer number (7194893850).

Almost surely, 2204242141400 is an apocalyptic number.

204242141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204242141400 is an abundant number, since it is smaller than the sum of its proper divisors (486467668200).

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

204242141400 is a wasteful number, since it uses less digits than its factorization.

204242141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30945809 (or 30945800 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204242141400 its reverse (4141242402), we get a palindrome (208383383802).

The spelling of 204242141400 in words is "two hundred four billion, two hundred forty-two million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 30945779 61891558 92837337 123783116 154728895 185674674 247566232 309457790 340403569 371349348 464186685 618915580 680807138 742698696 773644475 928373370 1021210707 1237831160 1361614276 1547288950 1702017845 1856746740 2042421414 2320933425 2723228552 3094577900 3404035690 3713493480 4084842828 4641866850 5106053535 6189155800 6808071380 8169685656 8510089225 9283733700 10212107070 13616142760 17020178450 18567467400 20424214140 25530267675 34040356900 40848428280 51060535350 68080713800 102121070700 204242141400