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1124444133444 = 2232913798323993
BaseRepresentation
bin10000010111001110000…
…101111101100001000100
310222111101110000101222110
4100113032011331201010
5121410330144232234
62220321300101020
7144144526301502
oct20271605754104
93874343011873
101124444133444
113a3968443275
12161b12094770
138205b0c8c68
143c5cdab5672
151e3b19721e9
hex105ce17d844

1124444133444 has 96 divisors (see below), whose sum is σ = 2736882328320. Its totient is φ = 358868113408.

The previous prime is 1124444133419. The next prime is 1124444133481. The reversal of 1124444133444 is 4443314444211.

It is a super-2 number, since 2×11244441334442 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46853512 + ... + 46877504.

It is an arithmetic number, because the mean of its divisors is an integer number (28509190920).

Almost surely, 21124444133444 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 1124444133444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368441164160).

1124444133444 is an abundant number, since it is smaller than the sum of its proper divisors (1612438194876).

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

1124444133444 is a wasteful number, since it uses less digits than its factorization.

1124444133444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25149 (or 25147 counting only the distinct ones).

The product of its digits is 294912, while the sum is 39.

Adding to 1124444133444 its reverse (4443314444211), we get a palindrome (5567758577655).

The spelling of 1124444133444 in words is "one trillion, one hundred twenty-four billion, four hundred forty-four million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 137 174 274 348 411 548 822 983 1644 1966 2949 3932 3973 5898 7946 11796 11919 15892 23838 23993 28507 47676 47986 57014 71979 85521 95972 114028 134671 143958 171042 269342 287916 342084 404013 538684 695797 808026 1391594 1616052 2087391 2783188 3287041 3905459 4174782 6574082 7810918 8349564 9861123 11716377 13148164 15621836 19722246 23432754 23585119 39444492 46865508 47170238 70755357 94340476 95324189 141510714 190648378 283021428 285972567 381296756 571945134 683968451 1143890268 1367936902 2051905353 2735873804 3231161303 4103810706 6462322606 8207621412 9693483909 12924645212 19386967818 38773935636 93703677787 187407355574 281111033361 374814711148 562222066722 1124444133444