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142605526440 = 2335132310913643
BaseRepresentation
bin1000010011001111110…
…0111010010110101000
3111122002102110100002110
42010303330322112220
54314024003321230
6145302335202320
713205616655206
oct2046374722650
9448072410073
10142605526440
115552a113783
122377a3763a0
13105a861b510
146c8b6ac076
153a998444b0
hex2133f3a5a8

142605526440 has 256 divisors, whose sum is σ = 481329838080. Its totient is φ = 33536701440.

The previous prime is 142605526423. The next prime is 142605526489. The reversal of 142605526440 is 44625506241.

142605526440 is digitally balanced in base 2, 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 (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39143259 + ... + 39146901.

It is an arithmetic number, because the mean of its divisors is an integer number (1880194680).

Almost surely, 2142605526440 is an apocalyptic number.

142605526440 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 142605526440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240664919040).

142605526440 is an abundant number, since it is smaller than the sum of its proper divisors (338724311640).

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

142605526440 is a wasteful number, since it uses less digits than its factorization.

142605526440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 142605526440 in words is "one hundred forty-two billion, six hundred five million, five hundred twenty-six thousand, four hundred forty".