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431104323422344 = 2311131274750762459
BaseRepresentation
bin110001000000101100100110…
…0000011110000100010001000
32002112102011121112022020212011
41202001121030003300202020
5423001203123244003334
64124514331521425304
7156543155006464135
oct14201311403604210
92075364545266764
10431104323422344
111153aa353783960
1240426aa579b234
1315671c6a395830
1478657bc36158c
1534c902d217564
hex188164c0f0888

431104323422344 has 128 divisors (see below), whose sum is σ = 957148312780800. Its totient is φ = 179452007159040.

The previous prime is 431104323422251. The next prime is 431104323422359. The reversal of 431104323422344 is 443224323401134.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 431104323422297 and 431104323422306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6902165787 + ... + 6902228245.

It is an arithmetic number, because the mean of its divisors is an integer number (7477721193600).

Almost surely, 2431104323422344 is an apocalyptic number.

431104323422344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431104323422344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478574156390400).

431104323422344 is an abundant number, since it is smaller than the sum of its proper divisors (526043989358456).

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

431104323422344 is a wasteful number, since it uses less digits than its factorization.

431104323422344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110123 (or 110119 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 431104323422344 its reverse (443224323401134), we get a palindrome (874328646823478).

The spelling of 431104323422344 in words is "four hundred thirty-one trillion, one hundred four billion, three hundred twenty-three million, four hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 127 143 254 286 508 572 1016 1144 1397 1651 2794 3302 5588 6604 11176 13208 18161 36322 47507 62459 72644 95014 124918 145288 190028 249836 380056 499672 522577 617591 687049 811967 1045154 1235182 1374098 1623934 2090308 2470364 2748196 3247868 4180616 4940728 5496392 6033389 6495736 6793501 7932293 8931637 12066778 13587002 15864586 17863274 24133556 27174004 31729172 35726548 48267112 54348008 63458344 66367279 71453096 78434057 87255223 103119809 132734558 156868114 174510446 206239618 265469116 313736228 349020892 412479236 530938232 627472456 698041784 824958472 862774627 1134317899 1725549254 2268635798 2967239713 3451098508 4537271596 5934479426 6902197016 9074543192 11868958852 23737917704 32639636843 38574116269 65279273686 77148232538 130558547372 154296465076 261117094744 308592930152 376839443551 424315278959 753678887102 848630557918 1507357774204 1697261115836 3014715548408 3394522231672 4145233879061 4898912766163 8290467758122 9797825532326 16580935516244 19595651064652 33161871032488 39191302129304 53888040427793 107776080855586 215552161711172 431104323422344