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142488253440 = 21034513219107
BaseRepresentation
bin1000010010110011110…
…1100011010000000000
3111121210020210020210000
42010230331203100000
54313303443102230
6145242545440000
713202664112341
oct2045475432000
9447706706700
10142488253440
11554799a4845
1223747040000
131058a23a900
146c79ca20c8
153a8e3cbb60
hex212cf63400

142488253440 has 1320 divisors, whose sum is σ = 587434304160. Its totient is φ = 32917487616.

The previous prime is 142488253433. The next prime is 142488253451. The reversal of 142488253440 is 44352884241.

142488253440 is a `hidden beast` number, since 1 + 42 + 48 + 82 + 53 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1331665867 + ... + 1331665973.

It is an arithmetic number, because the mean of its divisors is an integer number (445025988).

Almost surely, 2142488253440 is an apocalyptic number.

142488253440 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 142488253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293717152080).

142488253440 is an abundant number, since it is smaller than the sum of its proper divisors (444946050720).

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

142488253440 is a wasteful number, since it uses less digits than its factorization.

142488253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 142488253440 in words is "one hundred forty-two billion, four hundred eighty-eight million, two hundred fifty-three thousand, four hundred forty".