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3031224140430 = 2325531361466919
BaseRepresentation
bin101100000111000011000…
…010011100001010001110
3101201210010012222221210200
4230013003002130022032
5344130421334443210
610240305233114330
7431666363033343
oct54070302341216
911653105887720
103031224140430
11a69598004612
1240b57a9b89a6
1318cac66bc345
14a69d7b567ca
1553cb0a760c0
hex2c1c309c28e

3031224140430 has 96 divisors (see below), whose sum is σ = 8035801525440. Its totient is φ = 792490583040.

The previous prime is 3031224140429. The next prime is 3031224140431. The reversal of 3031224140430 is 340414221303.

3031224140430 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 224 + 1 + 4 + 0 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (3031224140429) and next prime (3031224140431).

It is a junction number, because it is equal to n+sod(n) for n = 3031224140394 and 3031224140403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031224140431) 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 47 ways as a sum of consecutive naturals, for example, 6258511 + ... + 6725429.

It is an arithmetic number, because the mean of its divisors is an integer number (83706265890).

Almost surely, 23031224140430 is an apocalyptic number.

3031224140430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3031224140430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017900762720).

3031224140430 is an abundant number, since it is smaller than the sum of its proper divisors (5004577385010).

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

3031224140430 is a wasteful number, since it uses less digits than its factorization.

3031224140430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468346 (or 468343 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3031224140430 its reverse (340414221303), we get a palindrome (3371638361733).

The spelling of 3031224140430 in words is "three trillion, thirty-one billion, two hundred twenty-four million, one hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1361 1590 2385 2722 4083 4770 6805 8166 12249 13610 20415 24498 40830 61245 72133 122490 144266 216399 360665 432798 466919 649197 721330 933838 1081995 1298394 1400757 2163990 2334595 2801514 3245985 4202271 4669190 6491970 7003785 8404542 14007570 21011355 24746707 42022710 49493414 74240121 123733535 148480242 222720363 247467070 371200605 445440726 635476759 742401210 1113601815 1270953518 1906430277 2227203630 3177383795 3812860554 5719290831 6354767590 9532151385 11438581662 19064302770 28596454155 33680268227 57192908310 67360536454 101040804681 168401341135 202081609362 303122414043 336802682270 505204023405 606244828086 1010408046810 1515612070215 3031224140430