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3203413140340 = 2257181838715073
BaseRepresentation
bin101110100111011010010…
…011010110001101110100
3102100020120100222110021201
4232213122103112031310
5404441042230442330
610451343325022244
7450303364264420
oct56473223261564
912306510873251
103203413140340
111025618228816
12438a146b4984
131a3107cc5c3a
14b1090405b80
15584dc668eca
hex2e9da4d6374

3203413140340 has 96 divisors (see below), whose sum is σ = 7732102420224. Its totient is φ = 1092042362880.

The previous prime is 3203413140299. The next prime is 3203413140383. The reversal of 3203413140340 is 430413143023.

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 = 3203413140299 and 3203413140308.

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, 212519044 + ... + 212534116.

It is an arithmetic number, because the mean of its divisors is an integer number (80542733544).

Almost surely, 23203413140340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3203413140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866051210112).

3203413140340 is an abundant number, since it is smaller than the sum of its proper divisors (4528689279884).

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

3203413140340 is a wasteful number, since it uses less digits than its factorization.

3203413140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23657 (or 23655 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3203413140340 its reverse (430413143023), we get a palindrome (3633826283363).

The spelling of 3203413140340 in words is "three trillion, two hundred three billion, four hundred thirteen million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 8387 12670 15073 16774 25340 30146 33548 41935 58709 60292 75365 83870 105511 117418 150730 167740 211022 234836 293545 301460 422044 527555 587090 1055110 1174180 1518047 2110220 2728213 3036094 5456426 6072188 7590235 10626329 10912852 13641065 15180470 19097491 21252658 27282130 30360940 38194982 42505316 53131645 54564260 76389964 95487455 106263290 126417251 190974910 212526580 252834502 381949820 505669004 632086255 884920757 1264172510 1769841514 2528345020 3539683028 4424603785 8849207570 17698415140 22881522431 45763044862 91526089724 114407612155 160170657017 228815224310 320341314034 457630448620 640682628068 800853285085 1601706570170 3203413140340