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141440040 = 23335753353
BaseRepresentation
bin10000110111000…
…11010000101000
3100212010220021000
420123203100220
5242202040130
622011315000
73335135430
oct1033432050
9325126230
10141440040
1172925aa5
123b44ba60
13233c2941
1414adb2c0
15c63d260
hex86e3428

141440040 has 256 divisors, whose sum is σ = 550540800. Its totient is φ = 31629312.

The previous prime is 141440021. The next prime is 141440059. The reversal of 141440040 is 40044141.

It is an interprime number because it is at equal distance from previous prime (141440021) and next prime (141440059).

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

It is a junction number, because it is equal to n+sod(n) for n = 141439995 and 141440022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400504 + ... + 400856.

It is an arithmetic number, because the mean of its divisors is an integer number (2150550).

Almost surely, 2141440040 is an apocalyptic number.

141440040 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 141440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275270400).

141440040 is an abundant number, since it is smaller than the sum of its proper divisors (409100760).

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

141440040 is a wasteful number, since it uses less digits than its factorization.

141440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 141440040 is about 11892.8566795367. The cubic root of 141440040 is about 521.0236738051.

Adding to 141440040 its reverse (40044141), we get a palindrome (181484181).

The spelling of 141440040 in words is "one hundred forty-one million, four hundred forty thousand, forty".