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104434101141 = 31916319315821
BaseRepresentation
bin110000101000011000…
…0011110101110010101
3100222120012012000111220
41201100300132232111
53202340112214031
6115550521120553
710354655133036
oct1412060365625
9328505160456
10104434101141
11403213669a7
12182a6929159
139b04352326
1450a9cd4a8d
152ab365c596
hex1850c1eb95

104434101141 has 32 divisors (see below), whose sum is σ = 147575124480. Its totient is φ = 65508523200.

The previous prime is 104434101127. The next prime is 104434101151. The reversal of 104434101141 is 141101434401.

It is not a de Polignac number, because 104434101141 - 210 = 104434100117 is a prime.

It is a super-2 number, since 2×1044341011412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104434101151) 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, 17938011 + ... + 17943831.

It is an arithmetic number, because the mean of its divisors is an integer number (4611722640).

Almost surely, 2104434101141 is an apocalyptic number.

It is an amenable number.

104434101141 is a deficient number, since it is larger than the sum of its proper divisors (43141023339).

104434101141 is a wasteful number, since it uses less digits than its factorization.

104434101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7937.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 104434101141 its reverse (141101434401), we get a palindrome (245535535542).

The spelling of 104434101141 in words is "one hundred four billion, four hundred thirty-four million, one hundred one thousand, one hundred forty-one".

Divisors: 1 3 19 57 163 489 1931 3097 5793 5821 9291 17463 36689 110067 110599 314753 331797 944259 948823 2846469 5980307 11240351 17940921 18027637 33721053 54082911 213566669 640700007 1832177213 5496531639 34811367047 104434101141