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142714007040 = 2935114141203
BaseRepresentation
bin1000010011101001101…
…0101110111000000000
3111122100222120201111110
42010322122232320000
54314234241211130
6145321212243320
713211405021163
oct2047232567000
9448328521443
10142714007040
1155585377870
12237aa770540
13105c4c41117
146c9bc69ada
153aa4121ab0
hex213a6aee00

142714007040 has 320 divisors, whose sum is σ = 509866866432. Its totient is φ = 33752678400.

The previous prime is 142714007003. The next prime is 142714007083. The reversal of 142714007040 is 40700417241.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142714006989 and 142714007007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3443079 + ... + 3484281.

Almost surely, 2142714007040 is an apocalyptic number.

142714007040 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 142714007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254933433216).

142714007040 is an abundant number, since it is smaller than the sum of its proper divisors (367152859392).

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

142714007040 is a wasteful number, since it uses less digits than its factorization.

142714007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41281 (or 41265 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 142714007040 in words is "one hundred forty-two billion, seven hundred fourteen million, seven thousand, forty".