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4114341330 = 2351179971627
BaseRepresentation
bin1111010100111011…
…1101110111010010
3101121201212012021020
43311032331313102
531411232410310
61520132340310
7203646216141
oct36516756722
911551765236
104114341330
1118214905a0
12969a74696
13507516ac8
142b05d9758
1519130e170
hexf53bddd2

4114341330 has 128 divisors (see below), whose sum is σ = 11027681280. Its totient is φ = 974039040.

The previous prime is 4114341323. The next prime is 4114341337. The reversal of 4114341330 is 331434114.

It is an interprime number because it is at equal distance from previous prime (4114341323) and next prime (4114341337).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4114341330.

It is not an unprimeable number, because it can be changed into a prime (4114341337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2527977 + ... + 2529603.

It is an arithmetic number, because the mean of its divisors is an integer number (86153760).

Almost surely, 24114341330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114341330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513840640).

4114341330 is an abundant number, since it is smaller than the sum of its proper divisors (6913339950).

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

4114341330 is a wasteful number, since it uses less digits than its factorization.

4114341330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4114341330 is about 64143.1315886588. The cubic root of 4114341330 is about 1602.3846381827.

Adding to 4114341330 its reverse (331434114), we get a palindrome (4445775444).

The spelling of 4114341330 in words is "four billion, one hundred fourteen million, three hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 97 110 158 165 194 237 291 330 395 474 485 582 790 869 970 1067 1185 1455 1627 1738 2134 2370 2607 2910 3201 3254 4345 4881 5214 5335 6402 7663 8135 8690 9762 10670 13035 15326 16005 16270 17897 22989 24405 26070 32010 35794 38315 45978 48810 53691 76630 84293 89485 107382 114945 128533 157819 168586 178970 229890 252879 257066 268455 315638 385599 421465 473457 505758 536910 642665 771198 789095 842930 946914 1264395 1285330 1413863 1578190 1736009 1927995 2367285 2528790 2827726 3472018 3855990 4241589 4734570 5208027 7069315 8483178 8680045 10416054 12467701 14138630 17360090 21207945 24935402 26040135 37403103 42415890 52080270 62338505 74806206 124677010 137144711 187015515 274289422 374031030 411434133 685723555 822868266 1371447110 2057170665 4114341330