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142484855040 = 28325114379331
BaseRepresentation
bin1000010010110011000…
…0100101100100000000
3111121210000101121001100
42010230300211210000
54313302110330130
6145242344534400
713202623166433
oct2045460454400
9447700347040
10142484855040
1155477a93550
1223745a81400
131058961ab18
146c7965981a
153a8de59c60
hex212cc25900

142484855040 has 864 divisors, whose sum is σ = 558955837440. Its totient is φ = 33210777600.

The previous prime is 142484854931. The next prime is 142484855059. The reversal of 142484855040 is 40558484241.

142484855040 is a `hidden beast` number, since 1 + 4 + 2 + 484 + 85 + 50 + 40 = 666.

It is a super-3 number, since 3×1424848550403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430467675 + ... + 430468005.

Almost surely, 2142484855040 is an apocalyptic number.

142484855040 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 142484855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279477918720).

142484855040 is an abundant number, since it is smaller than the sum of its proper divisors (416470982400).

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

142484855040 is a wasteful number, since it uses less digits than its factorization.

142484855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 142484855040 in words is "one hundred forty-two billion, four hundred eighty-four million, eight hundred fifty-five thousand, forty".