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11424242143200 = 253524760100893
BaseRepresentation
bin1010011000111110100111…
…1001010000111111100000
31111110010222002002112000210
42212033221321100333200
52444133321442040300
640144120245014120
72256242240664555
oct246175171207740
944403862075023
1011424242143200
113704aa29512a7
1213461176b4340
1364b3bc27cc13
142b6d171a6a2c
1514c286475050
hexa63e9e50fe0

11424242143200 has 72 divisors (see below), whose sum is σ = 37185908183928. Its totient is φ = 3046464570880.

The previous prime is 11424242143159. The next prime is 11424242143231. The reversal of 11424242143200 is 234124242411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2380048047 + ... + 2380052846.

It is an arithmetic number, because the mean of its divisors is an integer number (516470946999).

Almost surely, 211424242143200 is an apocalyptic number.

11424242143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11424242143200 is an abundant number, since it is smaller than the sum of its proper divisors (25761666040728).

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

11424242143200 is a wasteful number, since it uses less digits than its factorization.

11424242143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760100916 (or 4760100903 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 11424242143200 its reverse (234124242411), we get a palindrome (11658366385611).

The spelling of 11424242143200 in words is "eleven trillion, four hundred twenty-four billion, two hundred forty-two million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 4760100893 9520201786 14280302679 19040403572 23800504465 28560605358 38080807144 47601008930 57121210716 71401513395 76161614288 95202017860 114242421432 119002522325 142803026790 152323228576 190404035720 228484842864 238005044650 285606053580 357007566975 380808071440 456969685728 476010089300 571212107160 714015133950 761616142880 952020178600 1142424214320 1428030267900 1904040357200 2284848428640 2856060535800 3808080714400 5712121071600 11424242143200