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423322121223324 = 2232101929125323171
BaseRepresentation
bin110000001000000100101110…
…0101010010011110010011100
32001111212012101110220111121100
41200100021130222103302130
5420441202201013121244
64100155255304233100
7155111004536310321
oct14020113452236234
92044765343814540
10423322121223324
111129799a349a154
123b58a7b5a6b790
1315229149176c2b
147676c857d8b48
1533e18a6e8db69
hex181025ca93c9c

423322121223324 has 72 divisors (see below), whose sum is σ = 1081822204728720. Its totient is φ = 139559882112000.

The previous prime is 423322121223311. The next prime is 423322121223341.

423322121223324 is a `hidden beast` number, since 4 + 2 + 3 + 322 + 1 + 2 + 1 + 2 + 2 + 3 + 324 = 666.

423322121223324 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4233221212233243 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59283742 + ... + 66039429.

It is an arithmetic number, because the mean of its divisors is an integer number (15025308399010).

Almost surely, 2423322121223324 is an apocalyptic number.

It is an amenable number.

423322121223324 is an abundant number, since it is smaller than the sum of its proper divisors (658500083505396).

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

423322121223324 is a wasteful number, since it uses less digits than its factorization.

423322121223324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125324211 (or 125324206 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 423322121223324 in words is "four hundred twenty-three trillion, three hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 929 1212 1818 1858 2787 3636 3716 5574 8361 11148 16722 33444 93829 187658 281487 375316 562974 844461 1125948 1688922 3377844 125323171 250646342 375969513 501292684 751939026 1127908539 1503878052 2255817078 4511634156 12657640271 25315280542 37972920813 50630561084 75945841626 113918762439 116425225859 151891683252 227837524878 232850451718 349275677577 455675049756 465700903436 698551355154 1047827032731 1397102710308 2095654065462 4191308130924 11758947811759 23517895623518 35276843435277 47035791247036 70553686870554 105830530305831 141107373741108 211661060611662 423322121223324