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352140041253 = 371113893473797
BaseRepresentation
bin1010001111111010010…
…11101001110000100101
31020122221020121120002010
411013331023221300211
521232140322310003
6425434303104433
734304233651410
oct5077513516045
91218836546063
10352140041253
11126383966a90
12582b6ba2119
132728c068a20
1413087b82b77
15925ed7a003
hex51fd2e9c25

352140041253 has 128 divisors (see below), whose sum is σ = 639493263360. Its totient is φ = 166436075520.

The previous prime is 352140041251. The next prime is 352140041269.

352140041253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352140041253 - 21 = 352140041251 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 352140041253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352140041251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92739751 + ... + 92743547.

It is an arithmetic number, because the mean of its divisors is an integer number (4996041120).

Almost surely, 2352140041253 is an apocalyptic number.

352140041253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

352140041253 is a deficient number, since it is larger than the sum of its proper divisors (287353222107).

352140041253 is a wasteful number, since it uses less digits than its factorization.

352140041253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267.

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 3521400 and 41253, that added together give a palindrome (3562653).

The spelling of 352140041253 in words is "three hundred fifty-two billion, one hundred forty million, forty-one thousand, two hundred fifty-three".

Divisors: 1 3 7 11 13 21 33 39 77 89 91 143 231 267 273 347 429 623 979 1001 1041 1157 1869 2429 2937 3003 3471 3797 3817 4511 6853 7287 8099 11391 11451 12727 13533 20559 24297 26579 26719 30883 31577 38181 41767 49361 49621 79737 80157 89089 92649 94731 125301 148083 148863 216181 267267 292369 337933 339713 345527 347347 401479 542971 648543 877107 1013799 1019139 1036581 1042041 1204437 1317559 1628913 2365531 2377991 2810353 3717263 3800797 3952677 4393129 4416269 7096593 7133973 8431059 9222913 11151789 11402391 13179387 13248807 14493149 17128267 26020841 27668739 30751903 30913883 43479447 48324419 51384801 78062523 92255709 92741649 101452043 117262751 119897869 144973257 188410937 304356129 338270933 351788253 359693607 565232811 820839257 1014812799 1289890261 1318876559 1524415763 2462517771 3869670783 3956629677 4573247289 9029231827 10670910341 16768573393 27087695481 32012731023 50305720179 117380013751 352140041253