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401244014213100 = 22345249536298051
BaseRepresentation
bin101101100111011011110011…
…0111011110111011111101100
31221121200112221020110220210000
41123032313212323313133230
5410042440220114304400
63541212542212544300
7150341631502160352
oct13316674673673754
91847615836426700
10401244014213100
111069376a3682513
1239003940622090
13142b71c0744b26
1471124575137d2
15315c426e32600
hex16cede6ef77ec

401244014213100 has 90 divisors (see below), whose sum is σ = 1300674577951364. Its totient is φ = 106998403788000.

The previous prime is 401244014213039. The next prime is 401244014213177. The reversal of 401244014213100 is 1312410442104.

401244014213100 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 440 + 1 + 4 + 213 + 1 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×4012440142131002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24768140926 + ... + 24768157125.

Almost surely, 2401244014213100 is an apocalyptic number.

It is an amenable number.

401244014213100 is an abundant number, since it is smaller than the sum of its proper divisors (899430563738264).

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

401244014213100 is a wasteful number, since it uses less digits than its factorization.

401244014213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49536298077 (or 49536298061 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 401244014213100 its reverse (1312410442104), we get a palindrome (402556424655204).

The spelling of 401244014213100 in words is "four hundred one trillion, two hundred forty-four billion, fourteen million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 49536298051 99072596102 148608894153 198145192204 247681490255 297217788306 445826682459 495362980510 594435576612 743044470765 891653364918 990725961020 1238407451275 1337480047377 1486088941530 1783306729836 2229133412295 2476814902550 2674960094754 2972177883060 3715222353825 4012440142131 4458266824590 4953629805100 5349920189508 6687400236885 7430444707650 8024880284262 8916533649180 11145667061475 13374800473770 14860889415300 16049760568524 20062200710655 22291334122950 26749600947540 33437001184425 40124401421310 44582668245900 66874002368850 80248802842620 100311003553275 133748004737700 200622007106550 401244014213100