Search a number
-
+
11410310141000 = 235319601999239
BaseRepresentation
bin1010011000001010101101…
…1110111001010001001000
31111101211000010120110220022
42212002223132321101020
52443421303344003000
640133454001520012
72255240056633421
oct246025336712110
944354003513808
1011410310141000
1136aa0a36768a1
121343489943008
13649caba8b434
142b6394b50648
1514bc1d2c4585
hexa60ab7b9448

11410310141000 has 128 divisors (see below), whose sum is σ = 28152188064000. Its totient is φ = 4316708160000.

The previous prime is 11410310140997. The next prime is 11410310141039. The reversal of 11410310141000 is 14101301411.

It is a self number, because there is not a number n which added to its sum of digits gives 11410310141000.

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, 10919381 + ... + 11918619.

It is an arithmetic number, because the mean of its divisors is an integer number (219938969250).

Almost surely, 211410310141000 is an apocalyptic number.

11410310141000 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 11410310141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076094032000).

11410310141000 is an abundant number, since it is smaller than the sum of its proper divisors (16741877923000).

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

11410310141000 is a wasteful number, since it uses less digits than its factorization.

11410310141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999880 (or 999866 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11410310141000 its reverse (14101301411), we get a palindrome (11424411442411).

The spelling of 11410310141000 in words is "eleven trillion, four hundred ten billion, three hundred ten million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 601 760 950 1000 1202 1900 2375 2404 3005 3800 4750 4808 6010 9500 11419 12020 15025 19000 22838 24040 30050 45676 57095 60100 75125 91352 114190 120200 150250 228380 285475 300500 456760 570950 601000 999239 1141900 1427375 1998478 2283800 2854750 3996956 4996195 5709500 7993912 9992390 11419000 18985541 19984780 24980975 37971082 39969560 49961950 75942164 94927705 99923900 124904875 151884328 189855410 199847800 249809750 379710820 474638525 499619500 600542639 759421640 949277050 999239000 1201085278 1898554100 2373192625 2402170556 3002713195 3797108200 4746385250 4804341112 6005426390 9492770500 11410310141 12010852780 15013565975 18985541000 22820620282 24021705560 30027131950 45641240564 57051550705 60054263900 75067829875 91282481128 114103101410 120108527800 150135659750 228206202820 285257753525 300271319500 456412405640 570515507050 600542639000 1141031014100 1426288767625 2282062028200 2852577535250 5705155070500 11410310141000