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4401717070352 = 247437573120689
BaseRepresentation
bin100000000001101101011…
…0010000100101000010000
3120120210121020020021122012
41000003122302010220100
51034104204032222402
613210042041002052
7633004436524130
oct100033262045020
916523536207565
104401717070352
111447837596378
125b10ba183328
1325c1070ac124
1411308958cac0
15797734ca452
hex400dac84a10

4401717070352 has 80 divisors (see below), whose sum is σ = 9974725326720. Its totient is φ = 1842320664576.

The previous prime is 4401717070351. The next prime is 4401717070379. The reversal of 4401717070352 is 2530707171044.

It is a happy number.

It is a super-2 number, since 2×44017170703522 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4401717070351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36411224 + ... + 36531912.

It is an arithmetic number, because the mean of its divisors is an integer number (124684066584).

Almost surely, 24401717070352 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 4401717070352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987362663360).

4401717070352 is an abundant number, since it is smaller than the sum of its proper divisors (5573008256368).

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

4401717070352 is a wasteful number, since it uses less digits than its factorization.

4401717070352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128320 (or 128314 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The spelling of 4401717070352 in words is "four trillion, four hundred one billion, seven hundred seventeen million, seventy thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 7573 15146 30292 53011 60584 106022 120689 121168 212044 241378 325639 424088 482756 651278 844823 848176 965512 1302556 1689646 1931024 2279473 2605112 3379292 4558946 5189627 5210224 6758584 9117892 10379254 13517168 18235784 20758508 36327389 36471568 41517016 72654778 83034032 145309556 290619112 581238224 913977797 1827955594 3655911188 6397844579 7311822376 12795689158 14623644752 25591378316 39301045271 51182756632 78602090542 102365513264 157204181084 275107316897 314408362168 550214633794 628816724336 1100429267588 2200858535176 4401717070352