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2942241314000 = 245319149519647
BaseRepresentation
bin101010110100001011001…
…111111001010011010000
3101102021102212010000111112
4222310023033321103100
5341201202234022000
610131351430232452
7422366324345402
oct52641317712320
911367385100445
102942241314000
11a3488557703a
123b62867b5728
131845b553b021
14a2595d96b72
1551803b6e235
hex2ad0b3f94d0

2942241314000 has 160 divisors (see below), whose sum is σ = 7539053184000. Its totient is φ = 1107469555200.

The previous prime is 2942241313967. The next prime is 2942241314059. The reversal of 2942241314000 is 4131422492.

2942241314000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 5402177 + ... + 5921823.

It is an arithmetic number, because the mean of its divisors is an integer number (47119082400).

Almost surely, 22942241314000 is an apocalyptic number.

2942241314000 is a gapful number since it is divisible by the number (20) 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 2942241314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769526592000).

2942241314000 is an abundant number, since it is smaller than the sum of its proper divisors (4596811870000).

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

2942241314000 is a wasteful number, since it uses less digits than its factorization.

2942241314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519838 (or 519822 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 2942241314000 its reverse (4131422492), we get a palindrome (2946372736492).

The spelling of 2942241314000 in words is "two trillion, nine hundred forty-two billion, two hundred forty-one million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 149 152 190 200 250 298 304 380 400 475 500 596 745 760 950 1000 1192 1490 1520 1900 2000 2375 2384 2831 2980 3725 3800 4750 5662 5960 7450 7600 9500 11324 11920 14155 14900 18625 19000 22648 28310 29800 37250 38000 45296 56620 59600 70775 74500 113240 141550 149000 226480 283100 298000 353875 519647 566200 707750 1039294 1132400 1415500 2078588 2598235 2831000 4157176 5196470 5662000 8314352 9873293 10392940 12991175 19746586 20785880 25982350 39493172 41571760 49366465 51964700 64955875 77427403 78986344 98732930 103929400 129911750 154854806 157972688 197465860 207858800 246832325 259823500 309709612 387137015 394931720 493664650 519647000 619419224 774274030 789863440 987329300 1039294000 1234161625 1238838448 1471120657 1548548060 1935685075 1974658600 2468323250 2942241314 3097096120 3871370150 3949317200 4936646500 5884482628 6194192240 7355603285 7742740300 9678425375 9873293000 11768965256 14711206570 15485480600 19356850750 19746586000 23537930512 29422413140 30970961200 36778016425 38713701500 58844826280 73556032850 77427403000 117689652560 147112065700 154854806000 183890082125 294224131400 367780164250 588448262800 735560328500 1471120657000 2942241314000