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404098645041 = 3771319106867
BaseRepresentation
bin1011110000101100010…
…01111111110000110001
31102122001022220010000000
411320112021333300301
523110043223120131
6505350152220213
741123640544320
oct5702611776061
91378038803000
10404098645041
11146417172053
126639799a669
132c14c81a8b0
14157b66740b7
15a7a1656ce6
hex5e1627fc31

404098645041 has 128 divisors (see below), whose sum is σ = 785180569600. Its totient is φ = 201930573888.

The previous prime is 404098645009. The next prime is 404098645051. The reversal of 404098645041 is 140546890404.

404098645041 is a `hidden beast` number, since 40 + 40 + 9 + 8 + 64 + 504 + 1 = 666.

It is not a de Polignac number, because 404098645041 - 25 = 404098645009 is a prime.

It is a super-2 number, since 2×4040986450412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404098645051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3727890 + ... + 3834756.

It is an arithmetic number, because the mean of its divisors is an integer number (6134223200).

Almost surely, 2404098645041 is an apocalyptic number.

It is an amenable number.

404098645041 is a deficient number, since it is larger than the sum of its proper divisors (381081924559).

404098645041 is a wasteful number, since it uses less digits than its factorization.

404098645041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106927 (or 106909 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 404098645041 in words is "four hundred four billion, ninety-eight million, six hundred forty-five thousand, forty-one".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 81 91 117 133 171 189 243 247 273 351 399 513 567 729 741 819 1053 1197 1539 1701 1729 2187 2223 2457 3159 3591 4617 5103 5187 6669 7371 9477 10773 13851 15309 15561 20007 22113 28431 32319 41553 46683 60021 66339 96957 106867 140049 180063 199017 290871 320601 420147 540189 748069 961803 1260441 1389271 2030473 2244207 2885409 3781323 4167813 6091419 6732621 8656227 9724897 12503439 14213311 18274257 20197863 25968681 26396149 29174691 37510317 42639933 54822771 60593589 77906043 79188447 87524073 112530951 127919799 164468313 181780767 184773043 233718129 237565341 262572219 337592853 383759397 493404939 545342301 554319129 712696023 787716657 1012778559 1151278191 1480214817 1636026903 1662957387 2138088069 2363149971 3038335677 3453834573 4440644451 4988872161 6414264207 7089449913 10361503719 14966616483 19242792621 21268349739 31084511157 44899849449 57728377863 134699548347 404098645041