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4044269448128 = 26713775789521
BaseRepresentation
bin111010110110100001001…
…111100110101111000000
3112022121222002110200020002
4322312201033212233000
51012230130434320003
612333524533535132
7565121524052420
oct72664117465700
915277862420202
104044269448128
11131a18a740238
125539817a44a8
132344b0561260
14dda5a960480
15703026dda88
hex3ada13e6bc0

4044269448128 has 112 divisors (see below), whose sum is σ = 9878734079424. Its totient is φ = 1599706644480.

The previous prime is 4044269448103. The next prime is 4044269448143. The reversal of 4044269448128 is 8218449624404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×40442694481282 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45132008 + ... + 45221528.

It is an arithmetic number, because the mean of its divisors is an integer number (88202982852).

Almost surely, 24044269448128 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 4044269448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939367039712).

4044269448128 is an abundant number, since it is smaller than the sum of its proper divisors (5834464631296).

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

4044269448128 is a wasteful number, since it uses less digits than its factorization.

4044269448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97310 (or 97300 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 56.

The spelling of 4044269448128 in words is "four trillion, forty-four billion, two hundred sixty-nine million, four hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 7757 15514 31028 54299 62056 89521 100841 108598 124112 179042 201682 217196 248224 358084 403364 434392 496448 626647 705887 716168 806728 868784 1163773 1253294 1411774 1432336 1613456 1737568 2327546 2506588 2823548 2864672 3226912 3475136 4655092 5013176 5647096 5729344 6453824 8146411 9310184 10026352 11294192 16292822 18620368 20052704 22588384 32585644 37240736 40105408 45176768 65171288 74481472 130342576 260685152 521370304 694414397 1388828794 2777657588 4860900779 5555315176 9027387161 9721801558 11110630352 18054774322 19443603116 22221260704 36109548644 38887206232 44442521408 63191710127 72219097288 77774412464 126383420254 144438194576 155548824928 252766840508 288876389152 311097649856 505533681016 577752778304 1011067362032 2022134724064 4044269448128