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11044213434 = 235297691019
BaseRepresentation
bin10100100100100100…
…10101001010111010
31001111200122011200000
422102102111022322
5140104304312214
65023523453430
7540454156662
oct122222251272
931450564600
1011044213434
114758197021
122182827276
131070137c47
1476aadd1a2
154498c4809
hex2924952ba

11044213434 has 96 divisors (see below), whose sum is σ = 25729704000. Its totient is φ = 3546353664.

The previous prime is 11044213399. The next prime is 11044213459. The reversal of 11044213434 is 43431244011.

11044213434 is a `hidden beast` number, since 1 + 10 + 4 + 4 + 213 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11044213398 and 11044213407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10837777 + ... + 10838795.

It is an arithmetic number, because the mean of its divisors is an integer number (268017750).

Almost surely, 211044213434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11044213434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12864852000).

11044213434 is an abundant number, since it is smaller than the sum of its proper divisors (14685490566).

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

11044213434 is a wasteful number, since it uses less digits than its factorization.

11044213434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11044213434 its reverse (43431244011), we get a palindrome (54475457445).

The spelling of 11044213434 in words is "eleven billion, forty-four million, two hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 769 783 1019 1538 1566 2038 2307 2349 3057 4614 4698 6114 6921 7047 9171 13842 14094 18342 20763 22301 27513 29551 41526 44602 55026 59102 62289 66903 82539 88653 124578 133806 165078 177306 186867 200709 247617 265959 373734 401418 495234 531918 602127 783611 797877 1204254 1567222 1595754 1806381 2350833 2393631 3612762 4701666 4787262 5419143 7052499 7180893 10838286 14104998 14361786 21157497 22724719 42314994 45449438 63472491 68174157 126944982 136348314 190417473 204522471 380834946 409044942 613567413 1227134826 1840702239 3681404478 5522106717 11044213434