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404123412444444 = 2232711213253424257
BaseRepresentation
bin101101111100011000101000…
…0011100011011010100011100
31221222212211011110020120022200
41123320301100130123110130
5410432124222041210234
63551255422134011500
7151056644615255460
oct13370612034332434
91858784143216280
10404123412444444
1110784785a938400
12393a99a91a6b90
131446589c4c2a34
1471b196b1ba4a0
1531ac29d953d99
hex16f8c5071b51c

404123412444444 has 108 divisors (see below), whose sum is σ = 1283249550356592. Its totient is φ = 104967120107520.

The previous prime is 404123412444407. The next prime is 404123412444461. The reversal of 404123412444444 is 444444214321404.

404123412444444 is a `hidden beast` number, since 4 + 0 + 4 + 12 + 34 + 124 + 44 + 444 = 666.

It is a super-3 number, since 3×4041234124444443 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404123412444444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6626681637 + ... + 6626742620.

Almost surely, 2404123412444444 is an apocalyptic number.

404123412444444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404123412444444 is an abundant number, since it is smaller than the sum of its proper divisors (879126137912148).

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

404123412444444 is a wasteful number, since it uses less digits than its factorization.

404123412444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13253424296 (or 13253424280 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 45.

Adding to 404123412444444 its reverse (444444214321404), we get a palindrome (848567626765848).

The spelling of 404123412444444 in words is "four hundred four trillion, one hundred twenty-three billion, four hundred twelve million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2541 2772 3388 4356 5082 7623 10164 15246 30492 13253424257 26506848514 39760272771 53013697028 79520545542 92773969799 119280818313 145787666827 159041091084 185547939598 238561636626 278321909397 291575333654 371095879196 437363000481 477123273252 556643818794 583150667308 834965728191 874726000962 1020513667789 1113287637588 1312089001443 1603664335097 1669931456382 1749452001924 2041027335578 2624178002886 3061541003367 3207328670194 3339862912764 4082054671156 4810993005291 5248356005772 6123082006734 6414657340388 9184623010101 9621986010582 11225650345679 12246164013468 14432979015873 18369246020202 19243972021164 22451300691358 28865958031746 33676951037037 36738492040404 44902601382716 57731916063492 67353902074074 101030853111111 134707804148148 202061706222222 404123412444444