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10140431144233 = 131801433111141
BaseRepresentation
bin1001001110010000000011…
…0010111101010100101001
31022220102020002012112021111
42103210000302331110221
52312120100333103413
633322241051510321
72064423223361005
oct223440062752451
938812202175244
1010140431144233
11325a595025205
121179349a583a1
13587314144840
14270b29b0b705
15128b9892ad3d
hex93900cbd529

10140431144233 has 8 divisors (see below), whose sum is σ = 10926527890376. Its totient is φ = 9355200624000.

The previous prime is 10140431144227. The next prime is 10140431144287. The reversal of 10140431144233 is 33244113404101.

It can be written as a sum of positive squares in 4 ways, for example, as 665534534809 + 9474896609424 = 815803^2 + 3078132^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10140431144233 - 213 = 10140431136041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10140431144195 and 10140431144204.

It is not an unprimeable number, because it can be changed into a prime (10140431244233) 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 7 ways as a sum of consecutive naturals, for example, 216532158 + ... + 216578983.

It is an arithmetic number, because the mean of its divisors is an integer number (1365815986297).

Almost surely, 210140431144233 is an apocalyptic number.

10140431144233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10140431144233 is a deficient number, since it is larger than the sum of its proper divisors (786096746143).

10140431144233 is a wasteful number, since it uses less digits than its factorization.

10140431144233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433112955.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 10140431144233 its reverse (33244113404101), we get a palindrome (43384544548334).

The spelling of 10140431144233 in words is "ten trillion, one hundred forty billion, four hundred thirty-one million, one hundred forty-four thousand, two hundred thirty-three".

Divisors: 1 13 1801 23413 433111141 5630444833 780033164941 10140431144233