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434443120120230 = 2351310719154506861
BaseRepresentation
bin110001011000111111010101…
…1110110011001000110100110
32002222020100122000100000100220
41202301332223312121012212
5423420404002222321410
64135552225242145210
7160336323341244144
oct14261765366310646
92088210560300326
10434443120120230
11116477324443211
1240885ba1ab2206
1315854a6c6c73b0
14793d232c18594
153535ce1163070
hex18b1fabd991a6

434443120120230 has 128 divisors (see below), whose sum is σ = 1139296324755456. Its totient is φ = 105385743398400.

The previous prime is 434443120120171. The next prime is 434443120120249. The reversal of 434443120120230 is 32021021344434.

It is a junction number, because it is equal to n+sod(n) for n = 434443120120191 and 434443120120200.

It is a congruent number.

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, 19283001 + ... + 35223860.

It is an arithmetic number, because the mean of its divisors is an integer number (8900752537152).

Almost surely, 2434443120120230 is an apocalyptic number.

434443120120230 is an abundant number, since it is smaller than the sum of its proper divisors (704853204635226).

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

434443120120230 is a wasteful number, since it uses less digits than its factorization.

434443120120230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54507182.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 434443120120230 its reverse (32021021344434), we get a palindrome (466464141464664).

The spelling of 434443120120230 in words is "four hundred thirty-four trillion, four hundred forty-three billion, one hundred twenty million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 191 195 214 321 382 390 535 573 642 955 1070 1146 1391 1605 1910 2483 2782 2865 3210 4173 4966 5730 6955 7449 8346 12415 13910 14898 20437 20865 24830 37245 40874 41730 61311 74490 102185 122622 204370 265681 306555 531362 613110 797043 1328405 1594086 2656810 3985215 7970430 54506861 109013722 163520583 272534305 327041166 545068610 708589193 817602915 1417178386 1635205830 2125767579 3542945965 4251535158 5832234127 7085891930 10410810451 10628837895 11664468254 17496702381 20821620902 21257675790 29161170635 31232431353 34993404762 52054052255 58322341270 62464862706 75819043651 87483511905 104108104510 135340535863 151638087302 156162156765 174967023810 227457130953 270681071726 312324313530 379095218255 406021607589 454914261906 676702679315 758190436510 812043215178 1113956718257 1137285654765 1353405358630 2030108037945 2227913436514 2274571309530 3341870154771 4060216075890 5569783591285 6683740309542 11139567182570 14481437337341 16709350773855 28962874674682 33418701547710 43444312012023 72407186686705 86888624024046 144814373373410 217221560060115 434443120120230