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11440413425344 = 26734481546467
BaseRepresentation
bin1010011001111010110111…
…0001110011111011000000
31111111200201002012202202111
42212132231301303323000
52444414431314102334
640155353043425104
72260354052424001
oct246365561637300
944450632182674
1011440413425344
113710941144992
12134928b385194
1364ca98676c17
142b7a0cba31a8
1514c8d1001064
hexa67adc73ec0

11440413425344 has 56 divisors (see below), whose sum is σ = 23018235475248. Its totient is φ = 5640578334720.

The previous prime is 11440413425333. The next prime is 11440413425347. The reversal of 11440413425344 is 44352431404411.

It is a junction number, because it is equal to n+sod(n) for n = 11440413425297 and 11440413425306.

It is not an unprimeable number, because it can be changed into a prime (11440413425347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20661999 + ... + 21208465.

Almost surely, 211440413425344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11440413425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509117737624).

11440413425344 is an abundant number, since it is smaller than the sum of its proper divisors (11577822049904).

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

11440413425344 is an equidigital number, since it uses as much as digits as its factorization.

11440413425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551033 (or 551023 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 11440413425344 its reverse (44352431404411), we get a palindrome (55792844829755).

The spelling of 11440413425344 in words is "eleven trillion, four hundred forty billion, four hundred thirteen million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4481 4672 8962 17924 35848 71696 143392 286784 327113 546467 654226 1092934 1308452 2185868 2616904 4371736 5233808 8743472 10467616 17486944 20935232 34973888 39892091 79784182 159568364 319136728 638273456 1276546912 2448718627 2553093824 4897437254 9794874508 19589749016 39179498032 78358996064 156717992128 178756459771 357512919542 715025839084 1430051678168 2860103356336 5720206712672 11440413425344