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1130403431104 = 2647449383641
BaseRepresentation
bin10000011100110001010…
…010111000001011000000
311000001202202111002112121
4100130301102320023000
5122010031234243404
62223144500334024
7144445310425243
oct20346122701300
94001682432477
101130403431104
113a64462a3862
121630b59a4314
138279a9135ac
143c9d732b25a
151e60ec19e54
hex107314b82c0

1130403431104 has 56 divisors (see below), whose sum is σ = 2291408054208. Its totient is φ = 553046415360.

The previous prime is 1130403431051. The next prime is 1130403431117. The reversal of 1130403431104 is 4011343040311.

It is a happy number.

It is a super-3 number, since 3×11304034311043 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13473124 + ... + 13556764.

It is an arithmetic number, because the mean of its divisors is an integer number (40918000968).

Almost surely, 21130403431104 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 1130403431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145704027104).

1130403431104 is an abundant number, since it is smaller than the sum of its proper divisors (1161004623104).

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

1130403431104 is an equidigital number, since it uses as much as digits as its factorization.

1130403431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88193 (or 88183 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1130403431104 its reverse (4011343040311), we get a palindrome (5141746471415).

The spelling of 1130403431104 in words is "one trillion, one hundred thirty billion, four hundred three million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 3008 4493 8986 17972 35944 71888 83641 143776 167282 211171 287552 334564 422342 669128 844684 1338256 1689368 2676512 3378736 3931127 5353024 6757472 7862254 13514944 15724508 31449016 62898032 125796064 251592128 375799013 751598026 1503196052 3006392104 6012784208 12025568416 17662553611 24051136832 35325107222 70650214444 141300428888 282600857776 565201715552 1130403431104