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234168947988120 = 23345611184825683
BaseRepresentation
bin110101001111100110110100…
…111101100101011010011000
31010201010022222121110120010000
4311033212310331211122120
5221143111001141104440
62150011421332253000
7100216101554150235
oct6517466475453230
91121108877416100
10234168947988120
1168682547405032
122231b616a71160
13a0880635026a2
1441b7ba237a78c
151c11412116730
hexd4f9b4f65698

234168947988120 has 160 divisors (see below), whose sum is σ = 799970605323120. Its totient is φ = 61421363354880.

The previous prime is 234168947988103. The next prime is 234168947988259. The reversal of 234168947988120 is 21889749861432.

It is a happy number.

234168947988120 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 68 + 9 + 479 + 88 + 12 + 0 = 666.

It is a super-2 number, since 2×2341689479881202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 592215202 + ... + 592610481.

Almost surely, 2234168947988120 is an apocalyptic number.

234168947988120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234168947988120 is an abundant number, since it is smaller than the sum of its proper divisors (565801657335000).

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

234168947988120 is a wasteful number, since it uses less digits than its factorization.

234168947988120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184825767 (or 1184825754 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 234168947988120 in words is "two hundred thirty-four trillion, one hundred sixty-eight billion, nine hundred forty-seven million, nine hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 81 90 108 120 122 135 162 180 183 216 244 270 305 324 360 366 405 488 540 549 610 648 732 810 915 1080 1098 1220 1464 1620 1647 1830 2196 2440 2745 3240 3294 3660 4392 4941 5490 6588 7320 8235 9882 10980 13176 16470 19764 21960 24705 32940 39528 49410 65880 98820 197640 1184825683 2369651366 3554477049 4739302732 5924128415 7108954098 9478605464 10663431147 11848256830 14217908196 17772385245 21326862294 23696513660 28435816392 31990293441 35544770490 42653724588 47393027320 53317155735 63980586882 71089540980 72274366663 85307449176 95970880323 106634311470 127961173764 142179081960 144548733326 159951467205 191941760646 213268622940 216823099989 255922347528 289097466652 319902934410 361371833315 383883521292 426537245880 433646199978 479854401615 578194933304 639805868820 650469299967 722743666630 767767042584 867292399956 959708803230 1084115499945 1279611737640 1300938599934 1445487333260 1734584799912 1919417606460 1951407899901 2168230999890 2601877199868 2890974666520 3252346499835 3838835212920 3902815799802 4336461999780 5203754399736 5854223699703 6504692999670 7805631599604 8672923999560 9757039499505 11708447399406 13009385999340 15611263199208 19514078999010 23416894798812 26018771998680 29271118498515 39028157998020 46833789597624 58542236997030 78056315996040 117084473994060 234168947988120