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142305525451320 = 233571120347756919
BaseRepresentation
bin100000010110110100010110…
…010010110100101000111000
3200122212021102202010102120120
4200112310112102310220320
5122123013204003420240
61222354131134453240
741655143403213150
oct4026642622645070
9618767382112516
10142305525451320
1141385486246720
1213b63920664220
136153479758a9a
14271d8a4a7d760
15116ba5ecc3ad0
hex816d164b4a38

142305525451320 has 256 divisors, whose sum is σ = 532286490009600. Its totient is φ = 29568486965760.

The previous prime is 142305525451253. The next prime is 142305525451357. The reversal of 142305525451320 is 23154525503241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187627821 + ... + 188384739.

It is an arithmetic number, because the mean of its divisors is an integer number (2079244101600).

Almost surely, 2142305525451320 is an apocalyptic number.

142305525451320 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 142305525451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266143245004800).

142305525451320 is an abundant number, since it is smaller than the sum of its proper divisors (389980964558280).

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

142305525451320 is a wasteful number, since it uses less digits than its factorization.

142305525451320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777298 (or 777294 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 142305525451320 in words is "one hundred forty-two trillion, three hundred five billion, five hundred twenty-five million, four hundred fifty-one thousand, three hundred twenty".