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204440423234130 = 23356537309158647
BaseRepresentation
bin101110011110111111111110…
…110011011111101001010010
3222210212022110121100012002000
4232132333332303133221102
5203244022441321443010
62002450344525534430
761030222162123326
oct5636777663375122
9883768417305060
10204440423234130
115a16077318a426
121ab19b10114416
138a0c859362ca5
14386ad7d9c5986
151897e7067c7c0
hexb9effecdfa52

204440423234130 has 128 divisors (see below), whose sum is σ = 546087484454400. Its totient is φ = 54426167937792.

The previous prime is 204440423234129. The next prime is 204440423234143. The reversal of 204440423234130 is 31432324044402.

204440423234130 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 4 + 0 + 4 + 232 + 3 + 413 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288570467 + ... + 1288729113.

It is an arithmetic number, because the mean of its divisors is an integer number (4266308472300).

Almost surely, 2204440423234130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204440423234130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273043742227200).

204440423234130 is an abundant number, since it is smaller than the sum of its proper divisors (341647061220270).

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

204440423234130 is a wasteful number, since it uses less digits than its factorization.

204440423234130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166625 (or 166619 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 204440423234130 its reverse (31432324044402), we get a palindrome (235872747278532).

The spelling of 204440423234130 in words is "two hundred four trillion, four hundred forty billion, four hundred twenty-three million, two hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 653 1306 1959 3265 3918 5877 6530 7309 9795 11754 14618 17631 19590 21927 29385 35262 36545 43854 58770 65781 73090 88155 109635 131562 158647 176310 197343 219270 317294 328905 394686 475941 657810 793235 951882 986715 1427823 1586470 1973430 2379705 2855646 4283469 4759410 4772777 7139115 8566938 9545554 14278230 14318331 21417345 23863885 28636662 42834690 42954993 47727770 71591655 85909986 103596491 128864979 143183310 207192982 214774965 257729958 310789473 429549930 517982455 621578946 644324895 932368419 1035964910 1159550923 1288649790 1553947365 1864736838 2319101846 2797105257 3107894730 3478652769 4661842095 5594210514 5797754615 6957305538 9323684190 10435958307 11595509230 13985526285 17393263845 20871916614 27971052570 31307874921 34786527690 52179791535 62615749842 104359583070 156539374605 313078749210 757186752719 1514373505438 2271560258157 3785933763595 4543120516314 6814680774471 7571867527190 11357801290785 13629361548942 20444042323413 22715602581570 34073403872355 40888084646826 68146807744710 102220211617065 204440423234130