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142940214266976 = 2535724379107717
BaseRepresentation
bin100000100000000011011100…
…101100100000110001100000
3200202002221200022002220100000
4200200003130230200301200
5122213413024323020401
61224001454454500000
742052042522143420
oct4040033454406140
9622087608086300
10142940214266976
11415aa671567905
1214046930664600
13619b286cc44c9
1427424b3d88480
15117d30a204186
hex8200dcb20c60

142940214266976 has 288 divisors, whose sum is σ = 481785696887040. Its totient is φ = 40838006877696.

The previous prime is 142940214266911. The next prime is 142940214266977. The reversal of 142940214266976 is 679662412049241.

142940214266976 is a `hidden beast` number, since 1 + 4 + 2 + 94 + 0 + 214 + 266 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142940214266977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326943870 + ... + 1327051586.

It is an arithmetic number, because the mean of its divisors is an integer number (1672867003080).

Almost surely, 2142940214266976 is an apocalyptic number.

142940214266976 is a gapful number since it is divisible by the number (16) 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 142940214266976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240892848443520).

142940214266976 is an abundant number, since it is smaller than the sum of its proper divisors (338845482620064).

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

142940214266976 is a wasteful number, since it uses less digits than its factorization.

142940214266976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132128 (or 132108 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 142940214266976 in words is "one hundred forty-two trillion, nine hundred forty billion, two hundred fourteen million, two hundred sixty-six thousand, nine hundred seventy-six".