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323000311140 = 2232513161985259
BaseRepresentation
bin1001011001101000101…
…00011001110101100100
31010212201110001220010200
410230310110121311210
520243001034424030
6404215001350500
732223151226133
oct4546424316544
91125643056120
10323000311140
11114a90289501
1252724198430
13245c6c99580
14118c1ab191a
158606a30d60
hex4b34519d64

323000311140 has 144 divisors (see below), whose sum is σ = 1055798452800. Its totient is φ = 79457727744.

The previous prime is 323000311099. The next prime is 323000311223. The reversal of 323000311140 is 41113000323.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3745831 + ... + 3831089.

It is an arithmetic number, because the mean of its divisors is an integer number (7331933700).

Almost surely, 2323000311140 is an apocalyptic number.

323000311140 is a gapful number since it is divisible by the number (30) 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 323000311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527899226400).

323000311140 is an abundant number, since it is smaller than the sum of its proper divisors (732798141660).

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

323000311140 is a wasteful number, since it uses less digits than its factorization.

323000311140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86906 (or 86901 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 323000311140 its reverse (41113000323), we get a palindrome (364113311463).

The spelling of 323000311140 in words is "three hundred twenty-three billion, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1619 2340 3238 4857 6476 8095 9714 14571 16190 19428 21047 24285 29142 32380 42094 48570 58284 63141 72855 84188 85259 97140 105235 126282 145710 170518 189423 210470 252564 255777 291420 315705 341036 378846 420940 426295 511554 631410 757692 767331 852590 947115 1023108 1108367 1262820 1278885 1534662 1705180 1894230 2216734 2557770 3069324 3325101 3788460 3836655 4433468 5115540 5541835 6650202 7673310 9975303 11083670 13300404 15346620 16625505 19950606 22167340 33251010 39901212 49876515 66502020 99753030 138034321 199506060 276068642 414102963 552137284 690171605 828205926 1242308889 1380343210 1656411852 1794446173 2070514815 2484617778 2760686420 3588892346 4141029630 4969235556 5383338519 6211544445 7177784692 8282059260 8972230865 10766677038 12423088890 16150015557 17944461730 21533354076 24846177780 26916692595 32300031114 35888923460 53833385190 64600062228 80750077785 107666770380 161500155570 323000311140