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142416500503400 = 235231377327113137
BaseRepresentation
bin100000011000011011101100…
…111011000011001101101000
3200200020212212210021011221122
4200120123230323003031220
5122131322443112102100
61222521123115154412
741666152434460064
oct4030335473031550
9620225783234848
10142416500503400
114141855381a8a2
1213b81331a45a08
136160a83c69586
142724dd1558aa4
15116e8a77c0985
hex8186ecec3368

142416500503400 has 384 divisors, whose sum is σ = 356090897295360. Its totient is φ = 52867842048000.

The previous prime is 142416500503337. The next prime is 142416500503469. The reversal of 142416500503400 is 4305005614241.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45398946632 + ... + 45398949768.

It is an arithmetic number, because the mean of its divisors is an integer number (927320045040).

Almost surely, 2142416500503400 is an apocalyptic number.

142416500503400 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 142416500503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178045448647680).

142416500503400 is an abundant number, since it is smaller than the sum of its proper divisors (213674396791960).

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

142416500503400 is a wasteful number, since it uses less digits than its factorization.

142416500503400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 142416500503400 in words is "one hundred forty-two trillion, four hundred sixteen billion, five hundred million, five hundred three thousand, four hundred".