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233313120442140 = 223519757373440621
BaseRepresentation
bin110101000011001001110001…
…101010100101011100011100
31010121002111221111221122021020
4311003021301222211130130
5221040100232313122030
62144114322354004140
7100100213424063414
oct6503116152453434
91117074844848236
10233313120442140
11683825a2035792
122220178bb76650
13a02544337b84b
1441885b5767644
151be9022a5e510
hexd43271aa571c

233313120442140 has 96 divisors (see below), whose sum is σ = 656707502493504. Its totient is φ = 61890202859520.

The previous prime is 233313120442099. The next prime is 233313120442183. The reversal of 233313120442140 is 41244021313332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66091030 + ... + 69531650.

It is an arithmetic number, because the mean of its divisors is an integer number (6840703150974).

Almost surely, 2233313120442140 is an apocalyptic number.

233313120442140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233313120442140 is an abundant number, since it is smaller than the sum of its proper divisors (423394382051364).

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

233313120442140 is a wasteful number, since it uses less digits than its factorization.

233313120442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446567 (or 3446565 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 233313120442140 its reverse (41244021313332), we get a palindrome (274557141755472).

The spelling of 233313120442140 in words is "two hundred thirty-three trillion, three hundred thirteen billion, one hundred twenty million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 985 1182 1970 2364 2955 3940 5737 5910 11474 11820 17211 22948 28685 34422 57370 68844 86055 114740 172110 344220 1130189 2260378 3390567 3440621 4520756 5650945 6781134 6881242 10321863 11301890 13562268 13762484 16952835 17203105 20643726 22603780 33905670 34406210 41287452 51609315 67811340 68812420 103218630 206437260 677802337 1355604674 2033407011 2711209348 3389011685 4066814022 6778023370 8133628044 10167035055 13556046740 19738842677 20334070110 39477685354 40668140220 59216528031 78955370708 98694213385 118433056062 197388426770 236866112124 296082640155 394776853540 592165280310 1184330560620 3888552007369 7777104014738 11665656022107 15554208029476 19442760036845 23331312044214 38885520073690 46662624088428 58328280110535 77771040147380 116656560221070 233313120442140