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142201233200 = 24521329942979
BaseRepresentation
bin1000010001101111011…
…0101001111100110000
3111121001020201010000202
42010123312221330300
54312212003430300
6145154253534332
713162610352545
oct2043366517460
9447036633022
10142201233200
1155341986234
1223686aa43a8
1310542935a50
146c4db0abcc
153a740d3ad5
hex211bda9f30

142201233200 has 120 divisors (see below), whose sum is σ = 380605587600. Its totient is φ = 50694497280.

The previous prime is 142201233193. The next prime is 142201233203. The reversal of 142201233200 is 2332102241.

142201233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (142201233203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320690 + ... + 622289.

It is an arithmetic number, because the mean of its divisors is an integer number (3171713230).

Almost surely, 2142201233200 is an apocalyptic number.

142201233200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142201233200 is an abundant number, since it is smaller than the sum of its proper divisors (238404354400).

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

142201233200 is a wasteful number, since it uses less digits than its factorization.

142201233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943039 (or 943028 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 142201233200 its reverse (2332102241), we get a palindrome (144533335441).

The spelling of 142201233200 in words is "one hundred forty-two billion, two hundred one million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 29 40 50 52 58 65 80 100 104 116 130 145 200 208 232 260 290 325 377 400 464 520 580 650 725 754 1040 1160 1300 1450 1508 1885 2320 2600 2900 3016 3770 5200 5800 6032 7540 9425 11600 15080 18850 30160 37700 75400 150800 942979 1885958 3771916 4714895 7543832 9429790 12258727 15087664 18859580 23574475 24517454 27346391 37719160 47148950 49034908 54692782 61293635 75438320 94297900 98069816 109385564 122587270 136731955 188595800 196139632 218771128 245174540 273463910 306468175 355503083 377191600 437542256 490349080 546927820 612936350 683659775 711006166 980698160 1093855640 1225872700 1367319550 1422012332 1777515415 2187711280 2451745400 2734639100 2844024664 3555030830 4903490800 5469278200 5688049328 7110061660 8887577075 10938556400 14220123320 17775154150 28440246640 35550308300 71100616600 142201233200