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4101341334024 = 23311411861720353
BaseRepresentation
bin111011101011101010111…
…111100100101000001000
3112112002021112021212112210
4323223222333210220020
51014144021340142044
612420044042305120
7602212030064334
oct73535277445010
915462245255483
104101341334024
111341407296890
12562a4aab81a0
132399a7485c3c
141027125a07c4
1571a42d4c1b9
hex3baeafe4a08

4101341334024 has 128 divisors (see below), whose sum is σ = 11459471345280. Its totient is φ = 1212393062400.

The previous prime is 4101341334017. The next prime is 4101341334037. The reversal of 4101341334024 is 4204331431014.

It is a junction number, because it is equal to n+sod(n) for n = 4101341333982 and 4101341334000.

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, 201500232 + ... + 201520584.

It is an arithmetic number, because the mean of its divisors is an integer number (89527119885).

Almost surely, 24101341334024 is an apocalyptic number.

4101341334024 is a gapful number since it is divisible by the number (44) 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 4101341334024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729735672640).

4101341334024 is an abundant number, since it is smaller than the sum of its proper divisors (7358130011256).

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

4101341334024 is a wasteful number, since it uses less digits than its factorization.

4101341334024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39031 (or 39027 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 4101341334024 its reverse (4204331431014), we get a palindrome (8305672765038).

The spelling of 4101341334024 in words is "four trillion, one hundred one billion, three hundred forty-one million, three hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 18617 20353 37234 40706 55851 61059 74468 81412 111702 122118 148936 162824 204787 223404 223883 244236 409574 446808 447766 488472 614361 671649 763297 819148 834473 895532 1228722 1343298 1526594 1638296 1668946 1791064 2289891 2457444 2503419 2686596 3053188 3337892 4579782 4914888 5006838 5373192 6106376 6675784 8396267 9159564 9179203 10013676 16792534 18319128 18358406 20027352 25188801 27537609 33585068 36716812 50377602 55075218 67170136 73433624 100755204 110150436 201510408 220300872 378911801 757823602 1136735403 1515647204 2273470806 3031294408 4168029811 4546941612 8336059622 9093883224 12504089433 15535383841 16672119244 25008178866 31070767682 33344238488 46606151523 50016357732 62141535364 93212303046 100032715464 124283070728 170889222251 186424606092 341778444502 372849212184 512667666753 683556889004 1025335333506 1367113778008 2050670667012 4101341334024