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142145503500 = 2235371113412309
BaseRepresentation
bin1000010001100010001…
…0000100000100001100
3111120220100211202020210
42010120202010010030
54312103222103000
6145144543242420
713161332562360
oct2043042040414
9446810752223
10142145503500
1155313481730
12236702a9410
13105342226b0
146c465612a0
153a6e276350
hex211888410c

142145503500 has 768 divisors, whose sum is σ = 569564835840. Its totient is φ = 26588160000.

The previous prime is 142145503471. The next prime is 142145503517. The reversal of 142145503500 is 5305541241.

142145503500 is digitally balanced in base 3, 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61560346 + ... + 61562654.

It is an arithmetic number, because the mean of its divisors is an integer number (741620880).

Almost surely, 2142145503500 is an apocalyptic number.

142145503500 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 142145503500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284782417920).

142145503500 is an abundant number, since it is smaller than the sum of its proper divisors (427419332340).

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

142145503500 is a wasteful number, since it uses less digits than its factorization.

142145503500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 142145503500 in words is "one hundred forty-two billion, one hundred forty-five million, five hundred three thousand, five hundred".