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141434288 = 2417273419
BaseRepresentation
bin10000110111000…
…01110110110000
3100212010121100222
420123201312300
5242201344123
622011232212
73335112602
oct1033416660
9325117328
10141434288
1172921746
123b448668
13233c0138
1414ad9172
15c63b6c8
hex86e1db0

141434288 has 60 divisors (see below), whose sum is σ = 295788360. Its totient is φ = 65488896.

The previous prime is 141434287. The next prime is 141434317. The reversal of 141434288 is 882434141.

141434288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141434287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337343 + ... + 337761.

It is an arithmetic number, because the mean of its divisors is an integer number (4929806).

Almost surely, 2141434288 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 141434288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147894180).

141434288 is an abundant number, since it is smaller than the sum of its proper divisors (154354072).

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

141434288 is a wasteful number, since it uses less digits than its factorization.

141434288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 511 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 141434288 is about 11892.6148512428. The cubic root of 141434288 is about 521.0166108150.

The spelling of 141434288 in words is "one hundred forty-one million, four hundred thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 289 292 419 578 584 838 1156 1168 1241 1676 2312 2482 3352 4624 4964 6704 7123 9928 14246 19856 21097 28492 30587 42194 56984 61174 84388 113968 121091 122348 168776 242182 244696 337552 484364 489392 519979 968728 1039958 1937456 2079916 4159832 8319664 8839643 17679286 35358572 70717144 141434288