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141385440 = 25357291451
BaseRepresentation
bin10000110110101…
…01111011100000
3100212001010100210
420123111323200
5242143313230
622010214120
73334520310
oct1033257340
9325033323
10141385440
1172898a79
123b424340
13233a3b31
1414ac5440
15c62beb0
hex86d5ee0

141385440 has 192 divisors, whose sum is σ = 526901760. Its totient is φ = 31180800.

The previous prime is 141385427. The next prime is 141385459. The reversal of 141385440 is 44583141.

141385440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141385398 and 141385407.

It is a congruent number.

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, 96715 + ... + 98165.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2141385440 is an apocalyptic number.

141385440 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 141385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

141385440 is an abundant number, since it is smaller than the sum of its proper divisors (385516320).

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

141385440 is a wasteful number, since it uses less digits than its factorization.

141385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 141385440 is about 11890.5609623768. The cubic root of 141385440 is about 520.9566217079.

The spelling of 141385440 in words is "one hundred forty-one million, three hundred eighty-five thousand, four hundred forty".