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141414304 = 2523271709
BaseRepresentation
bin10000110110111…
…00111110100000
3100212002120221211
420123130332200
5242200224204
622010555504
73335000413
oct1033347640
9325076854
10141414304
1172908729
123b438b94
13233b4005
1414ad1b7a
15c635804
hex86dcfa0

141414304 has 48 divisors (see below), whose sum is σ = 291997440. Its totient is φ = 67288320.

The previous prime is 141414293. The next prime is 141414319. The reversal of 141414304 is 403414141.

141414304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199102 + ... + 199810.

It is an arithmetic number, because the mean of its divisors is an integer number (6083280).

Almost surely, 2141414304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145998720).

141414304 is an abundant number, since it is smaller than the sum of its proper divisors (150583136).

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

141414304 is a wasteful number, since it uses less digits than its factorization.

141414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

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

The square root of 141414304 is about 11891.7746362770. The cubic root of 141414304 is about 520.9920705933.

Adding to 141414304 its reverse (403414141), we get a palindrome (544828445).

The spelling of 141414304 in words is "one hundred forty-one million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 271 368 542 709 736 1084 1418 2168 2836 4336 5672 6233 8672 11344 12466 16307 22688 24932 32614 49864 65228 99728 130456 192139 199456 260912 384278 521824 768556 1537112 3074224 4419197 6148448 8838394 17676788 35353576 70707152 141414304