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11110414434 = 2377312232963
BaseRepresentation
bin10100101100011101…
…10111100001100010
31001200022012112100220
422112032313201202
5140223231230214
65034250423510
7542216651550
oct122616674142
931608175326
1011110414434
1147915a2899
1221a0a31b96
131080a76532
14775812bd0
154505ee9a9
hex2963b7862

11110414434 has 64 divisors (see below), whose sum is σ = 25772857344. Its totient is φ = 3127303296.

The previous prime is 11110414429. The next prime is 11110414463. The reversal of 11110414434 is 43441401111.

11110414434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3748237 + ... + 3751199.

It is an arithmetic number, because the mean of its divisors is an integer number (402700896).

Almost surely, 211110414434 is an apocalyptic number.

11110414434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110414434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886428672).

11110414434 is an abundant number, since it is smaller than the sum of its proper divisors (14662442910).

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

11110414434 is a wasteful number, since it uses less digits than its factorization.

11110414434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11110414434 its reverse (43441401111), we get a palindrome (54551815545).

The spelling of 11110414434 in words is "eleven billion, one hundred ten million, four hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1223 1533 2446 2963 3066 3669 5926 7338 8561 8889 17122 17778 20741 25683 41482 51366 62223 89279 124446 178558 216299 267837 432598 535674 624953 648897 1249906 1297794 1514093 1874859 3028186 3623749 3749718 4542279 7247498 9084558 10871247 21742494 25366243 50732486 76098729 152197458 264533677 529067354 793601031 1587202062 1851735739 3703471478 5555207217 11110414434