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142541254144520 = 235711172670923869
BaseRepresentation
bin100000011010001111111000…
…110100011011001000001000
3200200200210220002020210011022
4200122033320310123020020
5122140343442030111040
61223054314222452012
742011160105101360
oct4032177064331010
9620623802223138
10142541254144520
1141466451a15940
1213ba1549734008
13616c775c4622a
14272b067d539a0
151172c59c676b5
hex81a3f8d1b208

142541254144520 has 384 divisors, whose sum is σ = 424841620896000. Its totient is φ = 41807020769280.

The previous prime is 142541254144519. The next prime is 142541254144529. The reversal of 142541254144520 is 25441452145241.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (142541254144529) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5971803146 + ... + 5971827014.

It is an arithmetic number, because the mean of its divisors is an integer number (1106358387750).

Almost surely, 2142541254144520 is an apocalyptic number.

142541254144520 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 142541254144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212420810448000).

142541254144520 is an abundant number, since it is smaller than the sum of its proper divisors (282300366751480).

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

142541254144520 is a wasteful number, since it uses less digits than its factorization.

142541254144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30641 (or 30620 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 44.

The spelling of 142541254144520 in words is "one hundred forty-two trillion, five hundred forty-one billion, two hundred fifty-four million, one hundred forty-four thousand, five hundred twenty".