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142962894000 = 24345317233761
BaseRepresentation
bin1000010100100101000…
…0001010010010110000
3111200000022220111020000
42011021100022102300
54320242000102000
6145402022550000
713220516356143
oct2051120122260
9450008814200
10142962894000
11556a2910273
1223859b98300
1310634684004
146cc2d3605a
153abadd6000
hex214940a4b0

142962894000 has 1600 divisors, whose sum is σ = 595567095552. Its totient is φ = 32845824000.

The previous prime is 142962893971. The next prime is 142962894007. The reversal of 142962894000 is 498269241.

142962894000 is a `hidden beast` number, since 14 + 2 + 9 + 628 + 9 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (142962894007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2343653970 + ... + 2343654030.

Almost surely, 2142962894000 is an apocalyptic number.

142962894000 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 142962894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297783547776).

142962894000 is an abundant number, since it is smaller than the sum of its proper divisors (452604201552).

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

142962894000 is a wasteful number, since it uses less digits than its factorization.

142962894000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 142962894000 in words is "one hundred forty-two billion, nine hundred sixty-two million, eight hundred ninety-four thousand".