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423232214440 = 23575351015591
BaseRepresentation
bin1100010100010101001…
…10110001010110101000
31111110102210002010220111
412022022212301112220
523413234421330230
6522232531104104
742402042315430
oct6121246612650
91443383063814
10423232214440
11153545607a22
126a037742034
1330bab8536a9
14166ad85b2c0
15b0212c792a
hex628a9b15a8

423232214440 has 128 divisors (see below), whose sum is σ = 1109261329920. Its totient is φ = 142316928000.

The previous prime is 423232214429. The next prime is 423232214443. The reversal of 423232214440 is 44412232324.

It is a super-2 number, since 2×4232322144402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (423232214443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75696045 + ... + 75701635.

It is an arithmetic number, because the mean of its divisors is an integer number (8666104140).

Almost surely, 2423232214440 is an apocalyptic number.

423232214440 is a gapful number since it is divisible by the number (40) 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 423232214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554630664960).

423232214440 is an abundant number, since it is smaller than the sum of its proper divisors (686029115480).

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

423232214440 is a wasteful number, since it uses less digits than its factorization.

423232214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 423232214440 its reverse (44412232324), we get a palindrome (467644446764).

The spelling of 423232214440 in words is "four hundred twenty-three billion, two hundred thirty-two million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 5101 5591 7420 10202 11182 14840 20404 22364 25505 27955 35707 39137 40808 44728 51010 55910 71414 78274 102020 111820 142828 156548 178535 195685 204040 223640 270353 285656 296323 313096 357070 391370 540706 592646 714140 782740 1081412 1185292 1351765 1428280 1481615 1565480 1892471 2074261 2162824 2370584 2703530 2963230 3784942 4148522 5407060 5926460 7569884 8297044 9462355 10371305 10814120 11852920 15139768 16594088 18924710 20742610 28519691 37849420 41485220 57039382 75698840 82970440 114078764 142598455 199637837 228157528 285196910 399275674 570393820 798551348 998189185 1140787640 1511543623 1597102696 1996378370 3023087246 3992756740 6046174492 7557718115 7985513480 10580805361 12092348984 15115436230 21161610722 30230872460 42323221444 52904026805 60461744920 84646442888 105808053610 211616107220 423232214440