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11044442400224 = 251976733260207
BaseRepresentation
bin1010000010110111110000…
…0100001110010111100000
31110002211122011212112021112
42200231330010032113200
52421423004223301344
635253425150242452
72216635402305302
oct240557404162740
943084564775245
1011044442400224
113578a15896aa2
1212a45a14b6428
136216429637ac
142a27a7b37972
151424581a2c9e
hexa0b7c10e5e0

11044442400224 has 48 divisors (see below), whose sum is σ = 21857450142528. Its totient is φ = 5493352499712.

The previous prime is 11044442400209. The next prime is 11044442400227. The reversal of 11044442400224 is 42200424444011.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11044442400227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42314729 + ... + 42574935.

It is an arithmetic number, because the mean of its divisors is an integer number (455363544636).

Almost surely, 211044442400224 is an apocalyptic number.

It is an amenable number.

11044442400224 is a deficient number, since it is larger than the sum of its proper divisors (10813007742304).

11044442400224 is a wasteful number, since it uses less digits than its factorization.

11044442400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267147 (or 267139 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 11044442400224 its reverse (42200424444011), we get a palindrome (53244866844235).

The spelling of 11044442400224 in words is "eleven trillion, forty-four billion, four hundred forty-two million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 197 394 788 1576 3152 6304 6733 13466 26932 53864 107728 215456 260207 520414 1040828 1326401 2081656 2652802 4163312 5305604 8326624 10611208 21222416 42444832 51260779 102521558 205043116 410086232 820172464 1640344928 1751973731 3503947462 7007894924 14015789848 28031579696 56063159392 345138825007 690277650014 1380555300028 2761110600056 5522221200112 11044442400224