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142345520520 = 233572117191117
BaseRepresentation
bin1000010010010001110…
…1000100010110001000
3111121102022012200000120
42010210131010112020
54313010423124040
6145220450303240
713166311650360
oct2044435042610
9447368180016
10142345520520
1155406376455
1223707287b20
13105667b4668
146c64d499a0
153a81ad57d0
hex2124744588

142345520520 has 256 divisors, whose sum is σ = 491476377600. Its totient is φ = 32307932160.

The previous prime is 142345520507. The next prime is 142345520533. The reversal of 142345520520 is 25025543241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142345520507) and next prime (142345520533).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127435002 + ... + 127436118.

It is an arithmetic number, because the mean of its divisors is an integer number (1919829600).

Almost surely, 2142345520520 is an apocalyptic number.

142345520520 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 142345520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245738188800).

142345520520 is an abundant number, since it is smaller than the sum of its proper divisors (349130857080).

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

142345520520 is a wasteful number, since it uses less digits than its factorization.

142345520520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 142345520520 in words is "one hundred forty-two billion, three hundred forty-five million, five hundred twenty thousand, five hundred twenty".