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141251040 = 253657173
BaseRepresentation
bin10000110101101…
…01000111100000
3100211210022000000
420122311013200
5242130013130
622003300000
73333420420
oct1032650740
9324708000
10141251040
1172806aa7
123b37a600
13233578c8
1414a8c480
15c602260
hex86b51e0

141251040 has 336 divisors, whose sum is σ = 575110368. Its totient is φ = 32099328.

The previous prime is 141251009. The next prime is 141251057. The reversal of 141251040 is 40152141.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816394 + ... + 816566.

It is an arithmetic number, because the mean of its divisors is an integer number (1711638).

Almost surely, 2141251040 is an apocalyptic number.

141251040 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 141251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287555184).

141251040 is an abundant number, since it is smaller than the sum of its proper divisors (433859328).

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

141251040 is an equidigital number, since it uses as much as digits as its factorization.

141251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

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

The square root of 141251040 is about 11884.9080770530. The cubic root of 141251040 is about 520.7914968137.

The spelling of 141251040 in words is "one hundred forty-one million, two hundred fifty-one thousand, forty".