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241142013200 = 24521124982273
BaseRepresentation
bin1110000010010100101…
…1110001110100010000
3212001102121020111121002
43200211023301310100
512422324323410300
6302440142121132
723264503202234
oct3404513616420
9761377214532
10241142013200
11932a441a700
123a899b801a8
131997cb7239a
14b9582065c4
1564153405d5
hex38252f1d10

241142013200 has 90 divisors (see below), whose sum is σ = 636799386762. Its totient is φ = 87687987200.

The previous prime is 241142013149. The next prime is 241142013227. The reversal of 241142013200 is 2310241142.

It can be written as a sum of positive squares in 3 ways, for example, as 194546704 + 240947466496 = 13948^2 + 490864^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2442737 + ... + 2539536.

Almost surely, 2241142013200 is an apocalyptic number.

241142013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241142013200 is an abundant number, since it is smaller than the sum of its proper divisors (395657373562).

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

241142013200 is a wasteful number, since it uses less digits than its factorization.

241142013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982313 (or 4982291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 241142013200 its reverse (2310241142), we get a palindrome (243452254342).

The spelling of 241142013200 in words is "two hundred forty-one billion, one hundred forty-two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 4982273 9964546 19929092 24911365 39858184 49822730 54805003 79716368 99645460 109610006 124556825 199290920 219220012 249113650 274025015 398581840 438440024 498227300 548050030 602855033 876880048 996454600 1096100060 1205710066 1370125075 1992909200 2192200120 2411420132 2740250150 3014275165 4384400240 4822840264 5480500300 6028550330 9645680528 10961000600 12057100660 15071375825 21922001200 24114201320 30142751650 48228402640 60285503300 120571006600 241142013200