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114605141000 = 2353743337811
BaseRepresentation
bin110101010111011111…
…1111010110000001000
3101221211000210101012212
41222232333322300020
53334202404003000
6124352053524252
711165010424340
oct1525677726010
9357730711185
10114605141000
1144670683769
121a265043688
13aa655c71cc
145792a5bd20
152eab553c35
hex1aaeffac08

114605141000 has 128 divisors (see below), whose sum is σ = 307202837760. Its totient is φ = 39201408000.

The previous prime is 114605140927. The next prime is 114605141017. The reversal of 114605141000 is 141506411.

It is a happy 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, 3012095 + ... + 3049905.

It is an arithmetic number, because the mean of its divisors is an integer number (2400022170).

Almost surely, 2114605141000 is an apocalyptic number.

114605141000 is a gapful number since it is divisible by the number (10) 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 114605141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153601418880).

114605141000 is an abundant number, since it is smaller than the sum of its proper divisors (192597696760).

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

114605141000 is a wasteful number, since it uses less digits than its factorization.

114605141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38272 (or 38258 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 114605141000 its reverse (141506411), we get a palindrome (114746647411).

The spelling of 114605141000 in words is "one hundred fourteen billion, six hundred five million, one hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 433 500 700 866 875 1000 1400 1732 1750 2165 3031 3464 3500 4330 6062 7000 8660 10825 12124 15155 17320 21650 24248 30310 37811 43300 54125 60620 75622 75775 86600 108250 121240 151244 151550 189055 216500 264677 302488 303100 378110 378875 433000 529354 606200 756220 757750 945275 1058708 1323385 1512440 1515500 1890550 2117416 2646770 3031000 3781100 4726375 5293540 6616925 7562200 9452750 10587080 13233850 16372163 18905500 26467700 32744326 33084625 37811000 52935400 65488652 66169250 81860815 114605141 130977304 132338500 163721630 229210282 264677000 327443260 409304075 458420564 573025705 654886520 818608150 916841128 1146051410 1637216300 2046520375 2292102820 2865128525 3274432600 4093040750 4584205640 5730257050 8186081500 11460514100 14325642625 16372163000 22921028200 28651285250 57302570500 114605141000