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142459321463424 = 2734723973492521
BaseRepresentation
bin100000011001000011100101…
…010000000011001010000000
3200200101222102001110100010000
4200121003211100003022000
5122133023142243312144
61222552524145040000
742002226534564120
oct4031034520031200
9620358361410100
10142459321463424
1141434728071959
1213b896a2626000
136164b195a7444
1427270d4644c80
151170a61c82769
hex8190e5403280

142459321463424 has 1280 divisors, whose sum is σ = 512467091136000. Its totient is φ = 38405965086720.

The previous prime is 142459321463423. The next prime is 142459321463441. The reversal of 142459321463424 is 424364123954241.

142459321463424 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 593 + 2 + 1 + 4 + 6 + 3 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142459321463423) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56509051284 + ... + 56509053804.

It is an arithmetic number, because the mean of its divisors is an integer number (400364914950).

Almost surely, 2142459321463424 is an apocalyptic number.

142459321463424 is a gapful number since it is divisible by the number (14) 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 142459321463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256233545568000).

142459321463424 is an abundant number, since it is smaller than the sum of its proper divisors (370007769672576).

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

142459321463424 is a wasteful number, since it uses less digits than its factorization.

142459321463424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3002 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 142459321463424 in words is "one hundred forty-two trillion, four hundred fifty-nine billion, three hundred twenty-one million, four hundred sixty-three thousand, four hundred twenty-four".