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14241411520 = 265731120443
BaseRepresentation
bin11010100001101101…
…01011000111000000
31100202111201122220221
431100312223013000
5213131300132040
610313054512424
71012626000130
oct152066530700
940674648827
1014241411520
1160489a6296
122915505714
13145c63532b
14991598ac0
1558541c74a
hex350dab1c0

14241411520 has 112 divisors (see below), whose sum is σ = 38883506688. Its totient is φ = 4866831360.

The previous prime is 14241411497. The next prime is 14241411529. The reversal of 14241411520 is 2511414241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241411529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686419 + ... + 706861.

Almost surely, 214241411520 is an apocalyptic number.

14241411520 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 14241411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19441753344).

14241411520 is an abundant number, since it is smaller than the sum of its proper divisors (24642095168).

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

14241411520 is a wasteful number, since it uses less digits than its factorization.

14241411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20778 (or 20768 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 14241411520 its reverse (2511414241), we get a palindrome (16752825761).

The spelling of 14241411520 in words is "fourteen billion, two hundred forty-one million, four hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 311 320 448 560 622 1120 1244 1555 2177 2240 2488 3110 4354 4976 6220 8708 9952 10885 12440 17416 19904 20443 21770 24880 34832 40886 43540 49760 69664 81772 87080 99520 102215 139328 143101 163544 174160 204430 286202 327088 348320 408860 572404 654176 696640 715505 817720 1144808 1308352 1431010 1635440 2289616 2862020 3270880 4579232 5724040 6357773 6541760 9158464 11448080 12715546 22896160 25431092 31788865 44504411 45792320 50862184 63577730 89008822 101724368 127155460 178017644 203448736 222522055 254310920 356035288 406897472 445044110 508621840 712070576 890088220 1017243680 1424141152 1780176440 2034487360 2848282304 3560352880 7120705760 14241411520