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204141234120 = 233519307291647
BaseRepresentation
bin1011111000011111000…
…1000000011111001000
3201111220221202011201220
42332013301000133020
511321040123442440
6233440423042040
720514544600605
oct2760761003710
9644827664656
10204141234120
117963744a73a
12336925a0320
1316334290875
149c480bb6ac
15549bce68d0
hex2f87c407c8

204141234120 has 128 divisors (see below), whose sum is σ = 646758604800. Its totient is φ = 51404357376.

The previous prime is 204141234091. The next prime is 204141234133. The reversal of 204141234120 is 21432141402.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554137 + ... + 845783.

It is an arithmetic number, because the mean of its divisors is an integer number (5052801600).

Almost surely, 2204141234120 is an apocalyptic number.

204141234120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204141234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323379302400).

204141234120 is an abundant number, since it is smaller than the sum of its proper divisors (442617370680).

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

204141234120 is a wasteful number, since it uses less digits than its factorization.

204141234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291987 (or 291983 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 204141234120 its reverse (21432141402), we get a palindrome (225573375522).

The spelling of 204141234120 in words is "two hundred four billion, one hundred forty-one million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 307 380 456 570 614 760 921 1140 1228 1535 1842 2280 2456 3070 3684 4605 5833 6140 7368 9210 11666 12280 17499 18420 23332 29165 34998 36840 46664 58330 69996 87495 116660 139992 174990 233320 291647 349980 583294 699960 874941 1166588 1458235 1749882 2333176 2916470 3499764 4374705 5541293 5832940 6999528 8749410 11082586 11665880 16623879 17498820 22165172 27706465 33247758 34997640 44330344 55412930 66495516 83119395 89535629 110825860 132991032 166238790 179071258 221651720 268606887 332477580 358142516 447678145 537213774 664955160 716285032 895356290 1074427548 1343034435 1701176951 1790712580 2148855096 2686068870 3402353902 3581425160 5103530853 5372137740 6804707804 8505884755 10207061706 10744275480 13609415608 17011769510 20414123412 25517654265 34023539020 40828246824 51035308530 68047078040 102070617060 204141234120