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423234432324 = 22321183101127493
BaseRepresentation
bin1100010100010101011…
…11001110110101000100
31111110102221020211021100
412022022233032311010
523413241003313244
6522233050420100
742402100213524
oct6121257166504
91443387224240
10423234432324
11153546892290
126a038431630
1330bac14c052
14166adc77684
15b0215b4b69
hex628abced44

423234432324 has 144 divisors (see below), whose sum is σ = 1192866502464. Its totient is φ = 125452128000.

The previous prime is 423234432323. The next prime is 423234432329.

423234432324 is a `hidden beast` number, since 4 + 2 + 323 + 4 + 4 + 3 + 2 + 324 = 666.

423234432324 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 (423234432323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3255922 + ... + 3383414.

It is an arithmetic number, because the mean of its divisors is an integer number (8283795156).

Almost surely, 2423234432324 is an apocalyptic number.

423234432324 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 423234432324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596433251232).

423234432324 is an abundant number, since it is smaller than the sum of its proper divisors (769632070140).

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

423234432324 is a wasteful number, since it uses less digits than its factorization.

423234432324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127698 (or 127693 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 423234 and 432324, that added together give a palindrome (855558).

The spelling of 423234432324 in words is "four hundred twenty-three billion, two hundred thirty-four million, four hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 101 132 166 198 202 249 303 332 396 404 498 606 747 909 913 996 1111 1212 1494 1818 1826 2222 2739 2988 3333 3636 3652 4444 5478 6666 8217 8383 9999 10956 13332 16434 16766 19998 25149 32868 33532 39996 50298 75447 92213 100596 127493 150894 184426 254986 276639 301788 368852 382479 509972 553278 764958 829917 1106556 1147437 1402423 1529916 1659834 2294874 2804846 3319668 4207269 4589748 5609692 8414538 10581919 12621807 12876793 16829076 21163838 25243614 25753586 31745757 38630379 42327676 50487228 51507172 63491514 77260758 95237271 115891137 116401109 126983028 141644723 154521516 190474542 231782274 232802218 283289446 349203327 380949084 424934169 463564548 465604436 566578892 698406654 849868338 1047609981 1068773819 1274802507 1396813308 1699736676 2095219962 2137547638 2549605014 3206321457 4190439924 4275095276 5099210028 6412642914 9618964371 11756512009 12825285828 19237928742 23513024018 35269536027 38475857484 47026048036 70539072054 105808608081 141078144108 211617216162 423234432324