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141240064 = 287269293
BaseRepresentation
bin10000110101100…
…10011100000000
3100211202201221111
420122302130000
5242124140224
622003133104
73333343420
oct1032623400
9324681844
10141240064
11727a9829
123b374194
1323352904
1414a88480
15c5edd94
hex86b2700

141240064 has 72 divisors (see below), whose sum is σ = 324505440. Its totient is φ = 60100608.

The previous prime is 141240049. The next prime is 141240067. The reversal of 141240064 is 460042141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141240067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481902 + ... + 482194.

It is an arithmetic number, because the mean of its divisors is an integer number (4507020).

Almost surely, 2141240064 is an apocalyptic number.

141240064 is a gapful number since it is divisible by the number (14) 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 141240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162252720).

141240064 is an abundant number, since it is smaller than the sum of its proper divisors (183265376).

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

141240064 is an equidigital number, since it uses as much as digits as its factorization.

141240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 141240064 is about 11884.4463059917. The cubic root of 141240064 is about 520.7780069885.

The spelling of 141240064 in words is "one hundred forty-one million, two hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 269 293 448 538 586 896 1076 1172 1792 1883 2051 2152 2344 3766 4102 4304 4688 7532 8204 8608 9376 15064 16408 17216 18752 30128 32816 34432 37504 60256 65632 68864 75008 78817 120512 131264 157634 241024 262528 315268 482048 525056 551719 630536 1103438 1261072 2206876 2522144 4413752 5044288 8827504 10088576 17655008 20177152 35310016 70620032 141240064