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132114345430515 = 35721571157972461
BaseRepresentation
bin11110000010100001000100…
…101000010000110111110011
3122022210000012212221212010220
4132002201010220100313303
5114304030134412234030
61144552254210224123
736553642432266600
oct3602410450206763
9568700185855126
10132114345430515
1139106419866408
121299878ab85043
1358944386811c6
14248a522dc36a7
1510418e5dc8a10
hex782844a10df3

132114345430515 has 96 divisors (see below), whose sum is σ = 246210201020160. Its totient is φ = 60317628537600.

The previous prime is 132114345430489. The next prime is 132114345430523. The reversal of 132114345430515 is 515034543411231.

It is not a de Polignac number, because 132114345430515 - 221 = 132114343333363 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1823211385 + ... + 1823283845.

It is an arithmetic number, because the mean of its divisors is an integer number (2564689593960).

Almost surely, 2132114345430515 is an apocalyptic number.

132114345430515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132114345430515 is a deficient number, since it is larger than the sum of its proper divisors (114095855589645).

132114345430515 is a wasteful number, since it uses less digits than its factorization.

132114345430515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75633 (or 75626 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 132114345430515 its reverse (515034543411231), we get a palindrome (647148888841746).

The spelling of 132114345430515 in words is "one hundred thirty-two trillion, one hundred fourteen billion, three hundred forty-five million, four hundred thirty thousand, five hundred fifteen".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 1571 1579 4713 4737 7855 7895 10997 11053 23565 23685 32991 33159 54985 55265 72461 76979 77371 164955 165795 217383 230937 232113 362305 384895 386855 507227 1086915 1154685 1160565 1521681 2480609 2536135 3550589 7441827 7608405 10651767 12403045 17364263 17752945 37209135 52092789 53258835 86821315 113836231 114415919 121549841 260463945 341508693 343247757 364649523 569181155 572079595 607749205 796853617 800911433 1707543465 1716238785 1823247615 2390560851 2402734299 3984268085 4004557165 5577975319 5606380031 11952804255 12013671495 16733925957 16819140093 27889876595 28031900155 83669629785 84095700465 179747408749 539242226247 898737043745 1258231861243 2696211131235 3774695583729 6291159306215 8807623028701 18873477918645 26422869086103 44038115143505 132114345430515