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23141524300000 = 25551531151153
BaseRepresentation
bin1010100001100000011100…
…10101011110000011100000
310000221022022121200010100121
411100300032111132003200
511013122320210100000
6121115023002330024
74605630355001431
oct520601625360340
9100838277603317
1023141524300000
1174122a1195017
122718b957b9914
13cbb30c425592
145a00acdad488
152a1e6e045b1a
hex150c0e55e0e0

23141524300000 has 144 divisors (see below), whose sum is σ = 56983772586384. Its totient is φ = 9250502400000.

The previous prime is 23141524299977. The next prime is 23141524300019. The reversal of 23141524300000 is 342514132.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153024424 + ... + 153175576.

It is an arithmetic number, because the mean of its divisors is an integer number (395720642961).

Almost surely, 223141524300000 is an apocalyptic number.

23141524300000 is a gapful number since it is divisible by the number (20) 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 23141524300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28491886293192).

23141524300000 is an abundant number, since it is smaller than the sum of its proper divisors (33842248286384).

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

23141524300000 is an equidigital number, since it uses as much as digits as its factorization.

23141524300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152719 (or 152691 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 23141524300000 its reverse (342514132), we get a palindrome (23141866814132).

The spelling of 23141524300000 in words is "twenty-three trillion, one hundred forty-one billion, five hundred twenty-four million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1531 2000 2500 3062 3125 4000 5000 6124 6250 7655 10000 12248 12500 15310 20000 24496 25000 30620 38275 48992 50000 61240 76550 100000 122480 151153 153100 191375 244960 302306 306200 382750 604612 612400 755765 765500 956875 1209224 1224800 1511530 1531000 1913750 2418448 3023060 3062000 3778825 3827500 4784375 4836896 6046120 6124000 7557650 7655000 9568750 12092240 15115300 15310000 18894125 19137500 24184480 30230600 30620000 37788250 38275000 60461200 75576500 76550000 94470625 120922400 151153000 153100000 188941250 231415243 302306000 377882500 462830486 472353125 604612000 755765000 925660972 944706250 1157076215 1511530000 1851321944 1889412500 2314152430 3023060000 3702643888 3778825000 4628304860 5785381075 7405287776 7557650000 9256609720 11570762150 15115300000 18513219440 23141524300 28926905375 37026438880 46283048600 57853810750 92566097200 115707621500 144634526875 185132194400 231415243000 289269053750 462830486000 578538107500 723172634375 925660972000 1157076215000 1446345268750 2314152430000 2892690537500 4628304860000 5785381075000 11570762150000 23141524300000