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142065820080 = 24335793112677
BaseRepresentation
bin1000010001001111001…
…0000110000110110000
3111120200210220102011000
42010103302012012300
54311422322220310
6145133015322000
713156344355242
oct2042362060660
9446623812130
10142065820080
11552824a7368
1223649680300
1310520873442
146c39b3c092
153a672864c0
hex2113c861b0

142065820080 has 320 divisors, whose sum is σ = 497311027200. Its totient is φ = 37270471680.

The previous prime is 142065820067. The next prime is 142065820087. The reversal of 142065820080 is 80028560241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142065820087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53067702 + ... + 53070378.

It is an arithmetic number, because the mean of its divisors is an integer number (1554096960).

Almost surely, 2142065820080 is an apocalyptic number.

142065820080 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 142065820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248655513600).

142065820080 is an abundant number, since it is smaller than the sum of its proper divisors (355245207120).

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

142065820080 is a wasteful number, since it uses less digits than its factorization.

142065820080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 142065820080 in words is "one hundred forty-two billion, sixty-five million, eight hundred twenty thousand, eighty".