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142151040 = 27325232937
BaseRepresentation
bin10000111100100…
…00110110000000
3100220111000120100
420132100312000
5242342313130
622034442400
73344156343
oct1036206600
9326430510
10142151040
11732711a9
123b733400
13235b1455
1414c4445a
15c72dc60
hex8790d80

142151040 has 384 divisors, whose sum is σ = 544190400. Its totient is φ = 34062336.

The previous prime is 142151033. The next prime is 142151047. The reversal of 142151040 is 40151241.

It is an interprime number because it is at equal distance from previous prime (142151033) and next prime (142151047).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142151047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841902 + ... + 3841938.

Almost surely, 2142151040 is an apocalyptic number.

142151040 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 142151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272095200).

142151040 is an abundant number, since it is smaller than the sum of its proper divisors (402039360).

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

142151040 is a wasteful number, since it uses less digits than its factorization.

142151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 142151040 is about 11922.7111010877. The cubic root of 142151040 is about 521.8952535675.

The spelling of 142151040 in words is "one hundred forty-two million, one hundred fifty-one thousand, forty".