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331412524400045 = 51123675692623223
BaseRepresentation
bin100101101011010101111110…
…1110010100111110110101101
31121110102201122122111120210102
41023112223331302213312231
5321414330322221300140
63132504451211320445
7126543523206363224
oct11326537562476655
91543381578446712
10331412524400045
1196664298131a00
1231205b73a50125
13112c00b412b91a
145bba647913cbb
15284ac010a0e15
hex12d6afdca7dad

331412524400045 has 48 divisors (see below), whose sum is σ = 439097478059520. Its totient is φ = 239948005059840.

The previous prime is 331412524399993. The next prime is 331412524400051. The reversal of 331412524400045 is 540004425214133.

It is not a de Polignac number, because 331412524400045 - 216 = 331412524334509 is a prime.

It is a super-2 number, since 2×3314125244000452 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331412524399981 and 331412524400008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125026304 + ... + 127649526.

It is an arithmetic number, because the mean of its divisors is an integer number (9147864126240).

Almost surely, 2331412524400045 is an apocalyptic number.

It is an amenable number.

331412524400045 is a deficient number, since it is larger than the sum of its proper divisors (107684953659475).

331412524400045 is a wasteful number, since it uses less digits than its factorization.

331412524400045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624186 (or 2624175 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 331412524400045 its reverse (540004425214133), we get a palindrome (871416949614178).

The spelling of 331412524400045 in words is "three hundred thirty-one trillion, four hundred twelve billion, five hundred twenty-four million, four hundred thousand, forty-five".

Divisors: 1 5 11 55 121 367 569 605 1835 2845 4037 6259 20185 31295 44407 68849 208823 222035 344245 1044115 2297053 2623223 11485265 13116115 25267583 28855453 126337915 144277265 317409983 962722841 1492613887 1587049915 4813614205 7463069435 10589951251 16418752757 52949756255 82093763785 116489463761 180606280327 547789296529 582447318805 903031401635 2738946482645 6025682261819 30128411309095 66282504880009 331412524400045