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142100363328 = 26371123171397
BaseRepresentation
bin1000010001010111010…
…1110111100001000000
3111120210012220101120120
42010111311313201000
54312010143111303
6145140251540240
713160244105360
oct2042565674100
9446705811516
10142100363328
115529aa50200
122365915a680
1310527a79331
146c405709a0
153a6a30b553
hex2115d77840

142100363328 has 672 divisors, whose sum is σ = 495645179904. Its totient is φ = 35126784000.

The previous prime is 142100363281. The next prime is 142100363371. The reversal of 142100363328 is 823363001241.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357935226 + ... + 357935622.

It is an arithmetic number, because the mean of its divisors is an integer number (737567232).

Almost surely, 2142100363328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142100363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247822589952).

142100363328 is an abundant number, since it is smaller than the sum of its proper divisors (353544816576).

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

142100363328 is a wasteful number, since it uses less digits than its factorization.

142100363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 142100363328 its reverse (823363001241), we get a palindrome (965463364569).

The spelling of 142100363328 in words is "one hundred forty-two billion, one hundred million, three hundred sixty-three thousand, three hundred twenty-eight".