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104032232142432 = 25311213533461359
BaseRepresentation
bin10111101001110111100100…
…001111011111011001100000
3111122100101101010110201100220
4113221313210033133121200
5102113431002412024212
61005131425255243040
730625036456634166
oct2751674417373140
9448311333421326
10104032232142432
1130169904a25490
12b802188079480
1346082748b02b9
141b99288c03236
15c061b531e38c
hex5e9de43df660

104032232142432 has 96 divisors (see below), whose sum is σ = 297912523829760. Its totient is φ = 31524702865920.

The previous prime is 104032232142389. The next prime is 104032232142439. The reversal of 104032232142432 is 234241232230401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 104032232142393 and 104032232142402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104032232142439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225260169 + ... + 225721527.

It is an arithmetic number, because the mean of its divisors is an integer number (3103255456560).

Almost surely, 2104032232142432 is an apocalyptic number.

104032232142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104032232142432 is an abundant number, since it is smaller than the sum of its proper divisors (193880291687328).

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

104032232142432 is a wasteful number, since it uses less digits than its factorization.

104032232142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674916 (or 674908 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 104032232142432 its reverse (234241232230401), we get a palindrome (338273464372833).

The spelling of 104032232142432 in words is "one hundred four trillion, thirty-two billion, two hundred thirty-two million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 213533 427066 461359 640599 854132 922718 1281198 1384077 1708264 1845436 2348863 2562396 2768154 3416528 3690872 4697726 5074949 5124792 5536308 6833056 7046589 7381744 9395452 10149898 10249584 11072616 14093178 14763488 15224847 18790904 20299796 20499168 22145232 28186356 30449694 37581808 40599592 44290464 56372712 60899388 75163616 81199184 112745424 121798776 162398368 225490848 243597552 487195104 98515371347 197030742694 295546114041 394061485388 591092228082 788122970776 1083669084817 1182184456164 1576245941552 2167338169634 2364368912328 3152491883104 3251007254451 4334676339268 4728737824656 6502014508902 8669352678536 9457475649312 13004029017804 17338705357072 26008058035608 34677410714144 52016116071216 104032232142432