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142809790039488 = 2638111361127307
BaseRepresentation
bin100000011110001001111110…
…110011100100010111000000
3200201122111000210220200000000
4200132021332303210113000
5122204243422222230423
61223421524543000000
742036444504410265
oct4036117663442700
9621574023820000
10142809790039488
114155a323485350
12140255b1899000
13618bba02779c0
14273a06040d26c
151179c24ee3843
hex81e27ece45c0

142809790039488 has 2016 divisors, whose sum is σ = 513221226405888. Its totient is φ = 38855564697600.

The previous prime is 142809790039453. The next prime is 142809790039529. The reversal of 142809790039488 is 884930097908241.

142809790039488 is a `hidden beast` number, since 1 + 4 + 28 + 0 + 9 + 7 + 90 + 0 + 39 + 488 = 666.

It is a super-2 number, since 2×1428097900394882 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 465178469031 + ... + 465178469337.

Almost surely, 2142809790039488 is an apocalyptic number.

142809790039488 is a gapful number since it is divisible by the number (18) 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 142809790039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256610613202944).

142809790039488 is an abundant number, since it is smaller than the sum of its proper divisors (370411436366400).

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

142809790039488 is a wasteful number, since it uses less digits than its factorization.

142809790039488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 142809790039488 in words is "one hundred forty-two trillion, eight hundred nine billion, seven hundred ninety million, thirty-nine thousand, four hundred eighty-eight".