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44246444112 = 243213227104123
BaseRepresentation
bin101001001101010010…
…110010100001010000
311020012121111020201100
4221031102302201100
51211104042202422
632154310504400
73124316366223
oct511522624120
9136177436640
1044246444112
1117845a67392
1286aa065100
134231a6cca0
1421da5535ba
15123e6dc7ac
hexa4d4b2850

44246444112 has 120 divisors (see below), whose sum is σ = 133942614624. Its totient is φ = 13554185472.

The previous prime is 44246444101. The next prime is 44246444113. The reversal of 44246444112 is 21144464244.

44246444112 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 644 + 4 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44246444113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372883 + ... + 477005.

Almost surely, 244246444112 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 44246444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66971307312).

44246444112 is an abundant number, since it is smaller than the sum of its proper divisors (89696170512).

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

44246444112 is a wasteful number, since it uses less digits than its factorization.

44246444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104377 (or 104368 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 44246444112 in words is "forty-four billion, two hundred forty-six million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 227 234 312 454 468 624 681 908 936 1362 1816 1872 2043 2724 2951 3632 4086 5448 5902 8172 8853 10896 11804 16344 17706 23608 26559 32688 35412 47216 53118 70824 104123 106236 141648 208246 212472 312369 416492 424944 624738 832984 937107 1249476 1353599 1665968 1874214 2498952 2707198 3748428 4060797 4997904 5414396 7496856 8121594 10828792 12182391 14993712 16243188 21657584 23635921 24364782 32486376 47271842 48729564 64972752 70907763 94543684 97459128 141815526 189087368 194918256 212723289 283631052 307266973 378174736 425446578 567262104 614533946 850893156 921800919 1134524208 1229067892 1701786312 1843601838 2458135784 2765402757 3403572624 3687203676 4916271568 5530805514 7374407352 11061611028 14748814704 22123222056 44246444112