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141030340 = 225112101577
BaseRepresentation
bin10000110011111…
…11001111000100
3100211101002020221
420121333033010
5242100432330
621554434124
73331511113
oct1031771704
9324332227
10141030340
1172676200
123b292944
13232ab309
1414a31c7a
15c5abb7a
hex867f3c4

141030340 has 72 divisors (see below), whose sum is σ = 329328216. Its totient is φ = 50688000.

The previous prime is 141030289. The next prime is 141030349. The reversal of 141030340 is 43030141.

It can be written as a sum of positive squares in 4 ways, for example, as 95413824 + 45616516 = 9768^2 + 6754^2 .

It is not an unprimeable number, because it can be changed into a prime (141030349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244132 + ... + 244708.

It is an arithmetic number, because the mean of its divisors is an integer number (4574003).

Almost surely, 2141030340 is an apocalyptic number.

141030340 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 141030340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164664108).

141030340 is an abundant number, since it is smaller than the sum of its proper divisors (188297876).

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

141030340 is a wasteful number, since it uses less digits than its factorization.

141030340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 141030340 is about 11875.6195627849. The cubic root of 141030340 is about 520.5201156898.

Adding to 141030340 its reverse (43030141), we get a palindrome (184060481).

The spelling of 141030340 in words is "one hundred forty-one million, thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 577 605 1010 1111 1154 1210 2020 2222 2308 2420 2885 4444 5555 5770 6347 11110 11540 12221 12694 22220 24442 25388 31735 48884 58277 61105 63470 69817 116554 122210 126940 139634 233108 244420 279268 291385 349085 582770 641047 698170 1165540 1282094 1396340 2564188 3205235 6410470 7051517 12820940 14103034 28206068 35257585 70515170 141030340