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401244014212992 = 2733235047856459
BaseRepresentation
bin101101100111011011110011…
…0111011110111011110000000
31221121200112221020110220122000
41123032313212323313132000
5410042440220114303432
63541212542212544000
7150341631502160136
oct13316674673673600
91847615836426560
10401244014212992
111069376a3682425
1239003940622000
13142b71c0744a72
147112457513756
15315c426e3257c
hex16cede6ef7780

401244014212992 has 128 divisors (see below), whose sum is σ = 1235715261408000. Its totient is φ = 127932874071552.

The previous prime is 401244014212991. The next prime is 401244014213033. The reversal of 401244014212992 is 299212410442104.

401244014212992 is a `hidden beast` number, since 4 + 0 + 1 + 24 + 401 + 4 + 212 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4012440142129922 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401244014212991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2523848742 + ... + 2524007717.

It is an arithmetic number, because the mean of its divisors is an integer number (9654025479750).

Almost surely, 2401244014212992 is an apocalyptic number.

It is an amenable number.

401244014212992 is an abundant number, since it is smaller than the sum of its proper divisors (834471247195008).

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

401244014212992 is a wasteful number, since it uses less digits than its factorization.

401244014212992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047856505 (or 5047856487 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 401244014212992 in words is "four hundred one trillion, two hundred forty-four billion, fourteen million, two hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 6624 8832 9936 13248 19872 26496 39744 79488 5047856459 10095712918 15143569377 20191425836 30287138754 40382851672 45430708131 60574277508 80765703344 90861416262 116100698557 121148555016 136292124393 161531406688 181722832524 232201397114 242297110032 272584248786 323062813376 348302095671 363445665048 464402794228 484594220064 545168497572 646125626752 696604191342 726891330096 928805588456 969188440128 1044906287013 1090336995144 1393208382684 1453782660192 1857611176912 1938376880256 2089812574026 2180673990288 2786416765368 2907565320384 3134718861039 3715222353824 4179625148052 4361347980576 5572833530736 5815130640768 6269437722078 7430444707648 8359250296104 8722695961152 11145667061472 12538875444156 14860889415296 16718500592208 17445391922304 22291334122944 25077750888312 33437001184416 44582668245888 50155501776624 66874002368832 100311003553248 133748004737664 200622007106496 401244014212992