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404021425310040 = 233552113814679417
BaseRepresentation
bin101101111011101001001000…
…1100010011000100101011000
31221222112001220210110100010110
41123313102101202120211120
5410423441334334410130
63551140514103444320
7151046404362031266
oct13367222142304530
91858461823410113
10404021425310040
1110780858485286a
1239392085a566a0
13144590980c1c25
1471aaa5428d436
1531a97d0048ab0
hex16f7491898958

404021425310040 has 128 divisors (see below), whose sum is σ = 1215270310633920. Its totient is φ = 107454365491200.

The previous prime is 404021425310023. The next prime is 404021425310057. The reversal of 404021425310040 is 40013524120404.

It is an interprime number because it is at equal distance from previous prime (404021425310023) and next prime (404021425310057).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84000412 + ... + 88679828.

Almost surely, 2404021425310040 is an apocalyptic number.

404021425310040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404021425310040 is an abundant number, since it is smaller than the sum of its proper divisors (811248885323880).

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

404021425310040 is a wasteful number, since it uses less digits than its factorization.

404021425310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681333 (or 4681329 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 404021425310040 its reverse (40013524120404), we get a palindrome (444034949430444).

The spelling of 404021425310040 in words is "four hundred four trillion, twenty-one billion, four hundred twenty-five million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 521 1042 1381 1563 2084 2605 2762 3126 4143 4168 5210 5524 6252 6905 7815 8286 10420 11048 12504 13810 15630 16572 20715 20840 27620 31260 33144 41430 55240 62520 82860 165720 719501 1439002 2158503 2878004 3597505 4317006 4679417 5756008 7195010 8634012 9358834 10792515 14038251 14390020 17268024 18717668 21585030 23397085 28076502 28780040 37435336 43170060 46794170 56153004 70191255 86340120 93588340 112306008 140382510 187176680 280765020 561530040 2437976257 4875952514 6462274877 7313928771 9751905028 12189881285 12924549754 14627857542 19386824631 19503810056 24379762570 25849099508 29255715084 32311374385 36569643855 38773649262 48759525140 51698199016 58511430168 64622748770 73139287710 77547298524 96934123155 97519050280 129245497540 146278575420 155094597048 193868246310 258490995080 292557150840 387736492620 775472985240 3366845210917 6733690421834 10100535632751 13467380843668 16834226054585 20201071265502 26934761687336 33668452109170 40402142531004 50502678163755 67336904218340 80804285062008 101005356327510 134673808436680 202010712655020 404021425310040