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23205343330040 = 235292739449507
BaseRepresentation
bin1010100011010111010100…
…01111101111111011111000
310001011102001021102202102212
411101223222033233323320
511020144020343030130
6121204215413514252
74613350016544464
oct521535217577370
9101142037382385
1023205343330040
117437370390953
122729426642988
13cc4340150951
145a3204b494a4
152a3956bc2e95
hex151aea3efef8

23205343330040 has 96 divisors (see below), whose sum is σ = 54815272976880. Its totient is φ = 8839294700544.

The previous prime is 23205343330031. The next prime is 23205343330067. The reversal of 23205343330040 is 4003334350232.

It is a junction number, because it is equal to n+sod(n) for n = 23205343329979 and 23205343330006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2269034 + ... + 7180473.

Almost surely, 223205343330040 is an apocalyptic number.

23205343330040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23205343330040 is an abundant number, since it is smaller than the sum of its proper divisors (31609929646840).

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

23205343330040 is a wasteful number, since it uses less digits than its factorization.

23205343330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9449649 (or 9449616 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 32.

Adding to 23205343330040 its reverse (4003334350232), we get a palindrome (27208677680272).

The spelling of 23205343330040 in words is "twenty-three trillion, two hundred five billion, three hundred forty-three million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 73 116 145 146 232 290 292 365 580 584 730 841 1160 1460 1682 2117 2920 3364 4205 4234 6728 8410 8468 10585 16820 16936 21170 33640 42340 61393 84680 122786 245572 306965 491144 613930 1227860 2455720 9449507 18899014 37798028 47247535 75596056 94495070 188990140 274035703 377980280 548071406 689814011 1096142812 1370178515 1379628022 2192285624 2740357030 2759256044 3449070055 5480714060 5518512088 6898140110 7947035387 10961428120 13796280220 15894070774 20004606319 27592560440 31788141548 39735176935 40009212638 63576283096 79470353870 80018425276 100023031595 158940707740 160036850552 200046063190 317881415480 400092126380 580133583251 800184252760 1160267166502 2320534333004 2900667916255 4641068666008 5801335832510 11602671665020 23205343330040