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142473506249520 = 243451943118122787
BaseRepresentation
bin100000011001010000110010…
…101110101101101100110000
3200200110100000121122010120000
4200121100302232231230300
5122133241220044441040
61223003231502150000
742003241205353455
oct4031206256555460
9620410017563500
10142473506249520
114143a747001676
1213b903a0b82300
13616626a2747b4
142727a7c49d82c
1511710e2217130
hex819432badb30

142473506249520 has 800 divisors, whose sum is σ = 533463455796480. Its totient is φ = 35124943472640.

The previous prime is 142473506249519. The next prime is 142473506249531. The reversal of 142473506249520 is 25942605374241.

142473506249520 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 7 + 3 + 5 + 0 + 624 + 9 + 5 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6252391567 + ... + 6252414353.

Almost surely, 2142473506249520 is an apocalyptic number.

142473506249520 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 142473506249520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266731727898240).

142473506249520 is an abundant number, since it is smaller than the sum of its proper divisors (390989949546960).

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

142473506249520 is a wasteful number, since it uses less digits than its factorization.

142473506249520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24055 (or 24040 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 142473506249520 in words is "one hundred forty-two trillion, four hundred seventy-three billion, five hundred six million, two hundred forty-nine thousand, five hundred twenty".