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41424101120 = 285297315287
BaseRepresentation
bin100110100101000100…
…011001111100000000
310221220220202100222102
4212211010121330000
51134314032213440
631010250125532
72664346023053
oct464504317400
9127826670872
1041424101120
1116627909316
128040a208a8
133ba211c04c
14200d794a9a
151126a3cb15
hex9a5119f00

41424101120 has 144 divisors (see below), whose sum is σ = 104058077760. Its totient is φ = 15778086912.

The previous prime is 41424101101. The next prime is 41424101179. The reversal of 41424101120 is 2110142414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41424101092 and 41424101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2702117 + ... + 2717403.

It is an arithmetic number, because the mean of its divisors is an integer number (722625540).

Almost surely, 241424101120 is an apocalyptic number.

41424101120 is a gapful number since it is divisible by the number (40) 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 41424101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52029038880).

41424101120 is an abundant number, since it is smaller than the sum of its proper divisors (62633976640).

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

41424101120 is a wasteful number, since it uses less digits than its factorization.

41424101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15410 (or 15396 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41424101120 its reverse (2110142414), we get a palindrome (43534243534).

The spelling of 41424101120 in words is "forty-one billion, four hundred twenty-four million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 73 80 116 128 145 146 160 232 256 290 292 320 365 464 580 584 640 730 928 1160 1168 1280 1460 1856 2117 2320 2336 2920 3712 4234 4640 4672 5840 7424 8468 9280 9344 10585 11680 15287 16936 18560 18688 21170 23360 30574 33872 37120 42340 46720 61148 67744 76435 84680 93440 122296 135488 152870 169360 244592 270976 305740 338720 443323 489184 541952 611480 677440 886646 978368 1115951 1222960 1354880 1773292 1956736 2216615 2231902 2445920 2709760 3546584 3913472 4433230 4463804 4891840 5579755 7093168 8866460 8927608 9783680 11159510 14186336 17732920 17855216 19567360 22319020 28372672 32362579 35465840 35710432 44638040 56745344 64725158 70931680 71420864 89276080 113490688 129450316 141863360 142841728 161812895 178552160 258900632 283726720 285683456 323625790 357104320 517801264 567453440 647251580 714208640 1035602528 1294503160 1428417280 2071205056 2589006320 4142410112 5178012640 8284820224 10356025280 20712050560 41424101120