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403034054140341 = 3613191322230841
BaseRepresentation
bin101101110100011101010110…
…1101000010010000110110101
31221212000200100012101222000000
41123220322231220102012311
5410311302220324442331
63545103142144541513
7150615151402412421
oct13350725550220665
91855020305358000
10403034054140341
11107467867539008
1239252849321899
13143b6c4333c250
147174d49193b81
15318dc923680e6
hex16e8eada121b5

403034054140341 has 56 divisors (see below), whose sum is σ = 651097522959576. Its totient is φ = 247891294978560.

The previous prime is 403034054140337. The next prime is 403034054140343. The reversal of 403034054140341 is 143041450430304.

403034054140341 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 3 + 40 + 541 + 40 + 34 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4294220062500 + 398739834077841 = 2072250^2 + 19968471^2 .

It is not a de Polignac number, because 403034054140341 - 22 = 403034054140337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 403034054140296 and 403034054140305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403034054140343) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7014081 + ... + 29244921.

It is an arithmetic number, because the mean of its divisors is an integer number (11626741481421).

Almost surely, 2403034054140341 is an apocalyptic number.

It is an amenable number.

403034054140341 is a deficient number, since it is larger than the sum of its proper divisors (248063468819235).

403034054140341 is a wasteful number, since it uses less digits than its factorization.

403034054140341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22232785 (or 22232770 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 403034054140341 in words is "four hundred three trillion, thirty-four billion, fifty-four million, one hundred forty thousand, three hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 1913 3159 5739 9477 17217 24869 51651 74607 154953 223821 464859 671463 1394577 2014389 6043167 18129501 22230841 66692523 200077569 289000933 600232707 867002799 1800698121 2601008397 5402094363 7803025191 16206283089 23409075573 42527598833 70227226719 127582796499 210681680157 382748389497 552858784829 1148245168491 1658576354487 3444735505473 4975729063461 10334206516419 14927187190383 31002619549257 44781561571149 134344684713447 403034054140341