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2042271735140 = 2257131959059333
BaseRepresentation
bin11101101110000000111…
…000011001110101100100
321020020110102120111020002
4131232000320121311210
5231430033031011030
64202112351000432
7300356253216260
oct35560070316544
97206412514202
102042271735140
1171813917508a
1228b980809118
1311a77c1737c0
1470bbca4d0a0
15381ce151245
hex1db80e19d64

2042271735140 has 96 divisors (see below), whose sum is σ = 5556302142720. Its totient is φ = 612327154176.

The previous prime is 2042271735131. The next prime is 2042271735167. The reversal of 2042271735140 is 415371722402.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2042271735094 and 2042271735103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29495087 + ... + 29564246.

It is an arithmetic number, because the mean of its divisors is an integer number (57878147320).

Almost surely, 22042271735140 is an apocalyptic number.

2042271735140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042271735140 is an abundant number, since it is smaller than the sum of its proper divisors (3514030407580).

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

2042271735140 is a wasteful number, since it uses less digits than its factorization.

2042271735140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59059381 (or 59059379 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 2042271735140 in words is "two trillion, forty-two billion, two hundred seventy-one million, seven hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 3458 4940 6916 8645 17290 34580 59059333 118118666 236237332 295296665 413415331 590593330 767771329 826830662 1122127327 1181186660 1535542658 1653661324 2067076655 2244254654 3071085316 3838856645 4134153310 4488509308 5374399303 5610636635 7677713290 7854891289 8268306620 10748798606 11221273270 14587655251 15355426580 15709782578 21497597212 22442546540 26871996515 29175310502 31419565156 39274456445 53743993030 58350621004 72938276255 78548912890 102113586757 107487986060 145876552510 157097825780 204227173514 291753105020 408454347028 510567933785 1021135867570 2042271735140