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141263040 = 2635374197
BaseRepresentation
bin10000110101110…
…00000011000000
3100211210220110110
420122320003000
5242130404130
622003431320
73333500412
oct1032700300
9324726413
10141263040
1172815016
123b385540
13233601c9
1414a929b2
15c605ab0
hex86b80c0

141263040 has 224 divisors, whose sum is σ = 476731584. Its totient is φ = 35389440.

The previous prime is 141263009. The next prime is 141263053. The reversal of 141263040 is 40362141.

It is a junction number, because it is equal to n+sod(n) for n = 141262998 and 141263016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456272 + ... + 1456368.

It is an arithmetic number, because the mean of its divisors is an integer number (2128266).

Almost surely, 2141263040 is an apocalyptic number.

141263040 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 141263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238365792).

141263040 is an abundant number, since it is smaller than the sum of its proper divisors (335468544).

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

141263040 is a wasteful number, since it uses less digits than its factorization.

141263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 141263040 is about 11885.4129082670. The cubic root of 141263040 is about 520.8062443653.

The spelling of 141263040 in words is "one hundred forty-one million, two hundred sixty-three thousand, forty".