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144500121200 = 24522941303827
BaseRepresentation
bin1000011010010011100…
…0001101111001110000
3111210222110110201111202
42012210320031321300
54331414012334300
6150214335030332
713303563523121
oct2064470157160
9453873421452
10144500121200
1156311607876
122400896b3a8
131081acab9c6
146dcb16a048
153b5ad35ad5
hex21a4e0de70

144500121200 has 120 divisors (see below), whose sum is σ = 367893172080. Its totient is φ = 54445619200.

The previous prime is 144500121133. The next prime is 144500121239. The reversal of 144500121200 is 2121005441.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323687 + ... + 627513.

It is an arithmetic number, because the mean of its divisors is an integer number (3065776434).

Almost surely, 2144500121200 is an apocalyptic number.

144500121200 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 144500121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183946586040).

144500121200 is an abundant number, since it is smaller than the sum of its proper divisors (223393050880).

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

144500121200 is a wasteful number, since it uses less digits than its factorization.

144500121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303915 (or 303904 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 144500121200 its reverse (2121005441), we get a palindrome (146621126641).

The spelling of 144500121200 in words is "one hundred forty-four billion, five hundred million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 41 50 58 80 82 100 116 145 164 200 205 232 290 328 400 410 464 580 656 725 820 1025 1160 1189 1450 1640 2050 2320 2378 2900 3280 4100 4756 5800 5945 8200 9512 11600 11890 16400 19024 23780 29725 47560 59450 95120 118900 237800 303827 475600 607654 1215308 1519135 2430616 3038270 4861232 6076540 7595675 8810983 12153080 12456907 15191350 17621966 24306160 24913814 30382700 35243932 44054915 49827628 60765400 62284535 70487864 88109830 99655256 121530800 124569070 140975728 176219660 199310512 220274575 249138140 311422675 352439320 361250303 440549150 498276280 622845350 704878640 722500606 881098300 996552560 1245690700 1445001212 1762196600 1806251515 2491381400 2890002424 3524393200 3612503030 4982762800 5780004848 7225006060 9031257575 14450012120 18062515150 28900024240 36125030300 72250060600 144500121200