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142505440 = 25571143269
BaseRepresentation
bin10000111111001…
…11010111100000
3100221011000201021
420133213113200
5242440133230
622050215224
73350163520
oct1037472740
9327130637
10142505440
11734934a0
123b884514
13236a685c
1414cd7680
15c79dc7a
hex87e75e0

142505440 has 192 divisors, whose sum is σ = 431101440. Its totient is φ = 43223040.

The previous prime is 142505437. The next prime is 142505443. The reversal of 142505440 is 44505241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142505437) and next prime (142505443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142505443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529626 + ... + 529894.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2142505440 is an apocalyptic number.

142505440 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 142505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

142505440 is an abundant number, since it is smaller than the sum of its proper divisors (288596000).

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

142505440 is a wasteful number, since it uses less digits than its factorization.

142505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 142505440 is about 11937.5642406648. The cubic root of 142505440 is about 522.3286099499.

The spelling of 142505440 in words is "one hundred forty-two million, five hundred five thousand, four hundred forty".