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142200203200 = 26521115153507
BaseRepresentation
bin1000010001101111001…
…0101110011111000000
3111121001011202210010121
42010123302232133000
54312211223000300
6145154215510024
713162565532616
oct2043362563700
9447034683117
10142200203200
11553413423a0
1223686688314
1310542664c93
146c4d91d6b6
153a73e7d81a
hex211bcae7c0

142200203200 has 168 divisors, whose sum is σ = 384245656704. Its totient is φ = 51365760000.

The previous prime is 142200203183. The next prime is 142200203209. The reversal of 142200203200 is 2302002241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142200203209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2630847 + ... + 2684353.

It is an arithmetic number, because the mean of its divisors is an integer number (2287176528).

Almost surely, 2142200203200 is an apocalyptic number.

142200203200 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 142200203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192122828352).

142200203200 is an abundant number, since it is smaller than the sum of its proper divisors (242045453504).

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

142200203200 is a wasteful number, since it uses less digits than its factorization.

142200203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53691 (or 53676 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 142200203200 its reverse (2302002241), we get a palindrome (144502205441).

The spelling of 142200203200 in words is "one hundred forty-two billion, two hundred million, two hundred three thousand, two hundred".