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431224023340 = 22511172347106661
BaseRepresentation
bin1100100011001101111…
…01000110100100101100
31112020001202002002201201
412101212331012210230
524031121322221330
6530033535215244
743104063502015
oct6214675064454
91466052062651
10431224023340
111569767a0270
126b6a8077524
13318834893b6
1416c2add200c
15b33cc05eca
hex6466f4692c

431224023340 has 192 divisors, whose sum is σ = 1114718588928. Its totient is φ = 138163097600.

The previous prime is 431224023277. The next prime is 431224023359. The reversal of 431224023340 is 43320422134.

It is a super-3 number, since 3×4312240233403 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431224023299 and 431224023308.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3989610 + ... + 4096270.

It is an arithmetic number, because the mean of its divisors is an integer number (5805825984).

Almost surely, 2431224023340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431224023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557359294464).

431224023340 is an abundant number, since it is smaller than the sum of its proper divisors (683494565588).

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

431224023340 is a wasteful number, since it uses less digits than its factorization.

431224023340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106768 (or 106766 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 431224023340 its reverse (43320422134), we get a palindrome (474544445474).

The spelling of 431224023340 in words is "four hundred thirty-one billion, two hundred twenty-four million, twenty-three thousand, three hundred forty".