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423144441324 = 22321137101285937
BaseRepresentation
bin1100010100001010101…
…11111100010111101100
31111110012122220210211100
412022011113330113230
523413044434110244
6522220113523100
742366625256223
oct6120527742754
91443178823740
10423144441324
11153500007760
126a012273490
1330b96601237
14166a1d2dcba
15b01873ab69
hex62855fc5ec

423144441324 has 144 divisors (see below), whose sum is σ = 1210258891296. Its totient is φ = 123524352000.

The previous prime is 423144441323. The next prime is 423144441341.

423144441324 is a `hidden beast` number, since 4 + 231 + 4 + 4 + 4 + 413 + 2 + 4 = 666.

423144441324 is nontrivially palindromic in base 10.

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 not an unprimeable number, because it can be changed into a prime (423144441323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1336884 + ... + 1622820.

It is an arithmetic number, because the mean of its divisors is an integer number (8404575634).

Almost surely, 2423144441324 is an apocalyptic number.

423144441324 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 423144441324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605129445648).

423144441324 is an abundant number, since it is smaller than the sum of its proper divisors (787114449972).

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

423144441324 is a wasteful number, since it uses less digits than its factorization.

423144441324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286096 (or 286091 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 423144 and 441324, that added together give a palindrome (864468).

The spelling of 423144441324 in words is "four hundred twenty-three billion, one hundred forty-four million, four hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 101 111 132 148 198 202 222 303 333 396 404 407 444 606 666 814 909 1111 1212 1221 1332 1628 1818 2222 2442 3333 3636 3663 3737 4444 4884 6666 7326 7474 9999 11211 13332 14652 14948 19998 22422 33633 39996 41107 44844 67266 82214 123321 134532 164428 246642 285937 369963 493284 571874 739926 857811 1143748 1479852 1715622 2573433 3145307 3431244 5146866 6290614 9435921 10293732 10579669 12581228 18871842 21159338 28307763 28879637 31739007 37743684 42318676 56615526 57759274 63478014 86638911 95217021 113231052 115518548 116376359 126956028 173277822 190434042 232752718 259916733 317676007 346555644 349129077 380868084 465505436 519833466 635352014 698258154 953028021 1039666932 1047387231 1068546569 1270704028 1396516308 1906056042 2094774462 2137093138 2859084063 3205639707 3812112084 4189548924 4274186276 5718168126 6411279414 9616919121 11436336252 11754012259 12822558828 19233838242 23508024518 35262036777 38467676484 47016049036 70524073554 105786110331 141048147108 211572220662 423144441324