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235013435344 = 24197370115107
BaseRepresentation
bin1101101011011111100…
…1000110111111010000
3211110121111020111021001
43122313321012333100
512322301414412334
6255544053311344
722656565145302
oct3326771067720
9743544214231
10235013435344
1190739a59426
1239669635554
131921426825c
14b5362c7972
1561a72aa714
hex36b7e46fd0

235013435344 has 80 divisors (see below), whose sum is σ = 486594838080. Its totient is φ = 109633305600.

The previous prime is 235013435339. The next prime is 235013435351. The reversal of 235013435344 is 443534310532.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15549039 + ... + 15564145.

It is an arithmetic number, because the mean of its divisors is an integer number (6082435476).

Almost surely, 2235013435344 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 235013435344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243297419040).

235013435344 is an abundant number, since it is smaller than the sum of its proper divisors (251581402736).

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

235013435344 is a wasteful number, since it uses less digits than its factorization.

235013435344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908 (or 15902 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 235013435344 its reverse (443534310532), we get a palindrome (678547745876).

The spelling of 235013435344 in words is "two hundred thirty-five billion, thirteen million, four hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 584 701 1168 1387 1402 2774 2804 5548 5608 11096 11216 13319 15107 22192 26638 30214 51173 53276 60428 102346 106552 120856 204692 213104 241712 287033 409384 574066 818768 972287 1102811 1148132 1944574 2205622 2296264 3889148 4411244 4592528 7778296 8822488 10590007 15556592 17644976 20953409 21180014 41906818 42360028 83813636 84720056 167627272 169440112 201210133 335254544 402420266 773070511 804840532 1546141022 1609681064 3092282044 3219362128 6184564088 12369128176 14688339709 29376679418 58753358836 117506717672 235013435344