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11434013430 = 2357371798221
BaseRepresentation
bin10101010011000010…
…10011001011110110
31002111212010001201220
422221201103023312
5141404101412210
65130330331210
7553226340060
oct125141231366
932455101656
1011434013430
114938225584
122271289b06
131102b17928
147a67aa730
1546dc20c70
hex2a98532f6

11434013430 has 128 divisors (see below), whose sum is σ = 32393364480. Its totient is φ = 2528340480.

The previous prime is 11434013347. The next prime is 11434013447. The reversal of 11434013430 is 3431043411.

11434013430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11434013430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386720 + ... + 1394940.

It is an arithmetic number, because the mean of its divisors is an integer number (253073160).

Almost surely, 211434013430 is an apocalyptic number.

11434013430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11434013430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196682240).

11434013430 is an abundant number, since it is smaller than the sum of its proper divisors (20959351050).

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

11434013430 is a wasteful number, since it uses less digits than its factorization.

11434013430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454.

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

Adding to 11434013430 its reverse (3431043411), we get a palindrome (14865056841).

The spelling of 11434013430 in words is "eleven billion, four hundred thirty-four million, thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 179 185 210 222 259 358 370 518 537 555 777 895 1074 1110 1253 1295 1554 1790 2506 2590 2685 3759 3885 5370 6265 6623 7518 7770 8221 12530 13246 16442 18795 19869 24663 33115 37590 39738 41105 46361 49326 57547 66230 82210 92722 99345 115094 123315 139083 172641 198690 231805 246630 278166 287735 304177 345282 463610 575470 608354 695415 863205 912531 1390830 1471559 1520885 1726410 1825062 2129239 2943118 3041770 4258478 4414677 4562655 6387717 7357795 8829354 9125310 10300913 10646195 12775434 14715590 20601826 21292390 22073385 30902739 31938585 44146770 51504565 54447683 61805478 63877170 103009130 108895366 154513695 163343049 272238415 309027390 326686098 381133781 544476830 762267562 816715245 1143401343 1633430490 1905668905 2286802686 3811337810 5717006715 11434013430