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230444000112340 = 225719292103011989
BaseRepresentation
bin110100011001011001101100…
…110001000110111011010100
31010012221020020120212111002201
4310121121230301012323110
5220201043303012043330
62134040302344014244
766353013101500660
oct6431315461067324
91105836216774081
10230444000112340
116747682a445403
1221a19711461384
139b77a11a4c5a1
1440c9798ac38a0
151b9959d4e1eca
hexd1966cc46ed4

230444000112340 has 144 divisors (see below), whose sum is σ = 602941538908800. Its totient is φ = 72269914397184.

The previous prime is 230444000112299. The next prime is 230444000112379. The reversal of 230444000112340 is 43211000444032.

230444000112340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 230444000112299 and 230444000112308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49268935 + ... + 53743054.

It is an arithmetic number, because the mean of its divisors is an integer number (4187094020200).

Almost surely, 2230444000112340 is an apocalyptic number.

230444000112340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230444000112340 is an abundant number, since it is smaller than the sum of its proper divisors (372497538796460).

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

230444000112340 is a wasteful number, since it uses less digits than its factorization.

230444000112340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103012082 (or 103012051 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 230444000112340 its reverse (43211000444032), we get a palindrome (273655000556372).

The spelling of 230444000112340 in words is "two hundred thirty trillion, four hundred forty-four billion, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 58 70 76 95 116 133 140 145 190 203 266 290 380 406 532 551 580 665 812 841 1015 1102 1330 1682 2030 2204 2660 2755 3364 3857 4060 4205 5510 5887 7714 8410 11020 11774 15428 15979 16820 19285 23548 29435 31958 38570 58870 63916 77140 79895 111853 117740 159790 223706 319580 447412 559265 1118530 2237060 103011989 206023978 412047956 515059945 721083923 1030119890 1442167846 1957227791 2060239780 2884335692 2987347681 3605419615 3914455582 5974695362 7210839230 7828911164 9786138955 11949390724 13700594537 14421678460 14936738405 19572277910 20911433767 27401189074 29873476810 39144555820 41822867534 54802378148 56759605939 59746953620 68502972685 83645735068 86633082749 104557168835 113519211878 137005945370 173266165498 209114337670 227038423756 274011890740 283798029695 346532330996 397317241573 418228675340 433165413745 567596059390 606431579243 794634483146 866330827490 1135192118780 1212863158486 1589268966292 1646028572231 1732661654980 1986586207865 2425726316972 3032157896215 3292057144462 3973172415730 6064315792430 6584114288924 7946344831460 8230142861155 11522200005617 12128631584860 16460285722310 23044400011234 32920571444620 46088800022468 57611000028085 115222000056170 230444000112340