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142455435071040 = 2632572132912832087
BaseRepresentation
bin100000011000111111111101…
…100110101000111001000000
3200200101121101012112011000100
4200120333331212220321000
5122132442212334233130
61222551042354122400
742002031324026100
oct4030777546507100
9620347335464010
10142455435071040
1141433013323823
1213b88998b80400
13616464a382190
142726c46425200
1511708d599dc60
hex818ffd9a8e40

142455435071040 has 2016 divisors, whose sum is σ = 635796287642880. Its totient is φ = 28983585964032.

The previous prime is 142455435071029. The next prime is 142455435071041. The reversal of 142455435071040 is 40170534554241.

It is a happy number.

142455435071040 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 5 + 543 + 50 + 7 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (142455435071041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68258472877 + ... + 68258474963.

It is an arithmetic number, because the mean of its divisors is an integer number (315375142680).

Almost surely, 2142455435071040 is an apocalyptic number.

142455435071040 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 142455435071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317898143821440).

142455435071040 is an abundant number, since it is smaller than the sum of its proper divisors (493340852571840).

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

142455435071040 is a wasteful number, since it uses less digits than its factorization.

142455435071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 142455435071040 in words is "one hundred forty-two trillion, four hundred fifty-five billion, four hundred thirty-five million, seventy-one thousand, forty".