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331404330403040 = 255115110111177979
BaseRepresentation
bin100101101011010010001010…
…1011001000000010011100000
31121110101221111121001102000212
41023112210111121000103200
5321414212032040344130
63132501014141433252
7126543113151510146
oct11326442531002340
91543357447042025
10331404330403040
1196660872901754
123120446786b828
13112bc3a965399b
145bba0ab58b596
15284a8c1a34e95
hex12d69156404e0

331404330403040 has 96 divisors (see below), whose sum is σ = 783704864194560. Its totient is φ = 132432717888000.

The previous prime is 331404330403001. The next prime is 331404330403061. The reversal of 331404330403040 is 40304033404133.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 331404330402988 and 331404330403006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861952771 + ... + 1862130749.

It is an arithmetic number, because the mean of its divisors is an integer number (8163592335360).

Almost surely, 2331404330403040 is an apocalyptic number.

It is an amenable number.

331404330403040 is an abundant number, since it is smaller than the sum of its proper divisors (452300533791520).

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

331404330403040 is a wasteful number, since it uses less digits than its factorization.

331404330403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189256 (or 189248 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 331404330403040 its reverse (40304033404133), we get a palindrome (371708363807173).

The spelling of 331404330403040 in words is "three hundred thirty-one trillion, four hundred four billion, three hundred thirty million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1151 2302 4604 5755 9208 10111 11510 18416 20222 23020 36832 40444 46040 50555 80888 92080 101110 161776 177979 184160 202220 323552 355958 404440 711916 808880 889895 1423832 1617760 1779790 2847664 3559580 5695328 7119160 11637761 14238320 23275522 28476640 46551044 58188805 93102088 116377610 186204176 204853829 232755220 372408352 409707658 465510440 819415316 931020880 1024269145 1638830632 1799545669 1862041760 2048538290 3277661264 3599091338 4097076580 6555322528 7198182676 8194153160 8997728345 14396365352 16388306320 17995456690 28792730704 32776612640 35990913380 57585461408 71981826760 143963653520 287927307040 2071277065019 4142554130038 8285108260076 10356385325095 16570216520152 20712770650190 33140433040304 41425541300380 66280866080608 82851082600760 165702165201520 331404330403040