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238692142080 = 210325717192979
BaseRepresentation
bin1101111001001100101…
…0010000110000000000
3211211002212101011012200
43132103022100300000
512402320142021310
6301353104553200
723150004505650
oct3362312206000
9754085334180
10238692142080
1192257545227
123a315622800
131967c444bc2
14b7a4ac4360
1563202179c0
hex3793290c00

238692142080 has 2112 divisors, whose sum is σ = 1103611392000. Its totient is φ = 46374322176.

The previous prime is 238692142049. The next prime is 238692142123. The reversal of 238692142080 is 80241296832.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3021419481 + ... + 3021419559.

Almost surely, 2238692142080 is an apocalyptic number.

238692142080 is a gapful number since it is divisible by the number (20) 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 238692142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551805696000).

238692142080 is an abundant number, since it is smaller than the sum of its proper divisors (864919249920).

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

238692142080 is a wasteful number, since it uses less digits than its factorization.

238692142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 238692142080 in words is "two hundred thirty-eight billion, six hundred ninety-two million, one hundred forty-two thousand, eighty".