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142360405311225 = 35237107503953179
BaseRepresentation
bin100000010111100111011101…
…011000110111111011111001
3200200001112002102021011112110
4200113213131120313323321
5122124413102224424400
61222435244540402533
741662125361266543
oct4027473530677371
9620045072234473
10142360405311225
11413a6788519742
1213b72497846449
1361586b44b177a
1427223cd51a693
15116d1c2c8ce50
hex8179dd637ef9

142360405311225 has 96 divisors (see below), whose sum is σ = 244475022597120. Its totient is φ = 73037531139840.

The previous prime is 142360405311221. The next prime is 142360405311233. The reversal of 142360405311225 is 522113504063241.

It is not a de Polignac number, because 142360405311225 - 22 = 142360405311221 is a prime.

It is a super-2 number, since 2×1423604053112252 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142360405311221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148876686 + ... + 149829864.

It is an arithmetic number, because the mean of its divisors is an integer number (2546614818720).

Almost surely, 2142360405311225 is an apocalyptic number.

142360405311225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142360405311225 is a deficient number, since it is larger than the sum of its proper divisors (102114617285895).

142360405311225 is a wasteful number, since it uses less digits than its factorization.

142360405311225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953839 (or 953834 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 142360405311225 its reverse (522113504063241), we get a palindrome (664473909374466).

The spelling of 142360405311225 in words is "one hundred forty-two trillion, three hundred sixty billion, four hundred five million, three hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 37 75 107 111 185 321 503 535 555 925 1509 1605 2515 2675 2775 3959 7545 8025 11877 12575 18611 19795 37725 53821 55833 59385 93055 98975 161463 269105 279165 296925 465275 807315 953179 1345525 1395825 1991377 2859537 4036575 4765895 5974131 9956885 14297685 23829475 29870655 35267623 49784425 71488425 101990153 105802869 149353275 176338115 305970459 479449037 509950765 529014345 881690575 1438347111 1529852295 2397245185 2549753825 2645071725 3773635661 7191735555 7649261475 11320906983 11986225925 17739614369 18868178305 35958677775 51301046959 53218843107 56604534915 88698071845 94340891525 153903140877 256505234795 266094215535 283022674575 443490359225 769515704385 1282526173975 1330471077675 1898138737483 3847578521925 5694416212449 9490693687415 28472081062245 47453468437075 142360405311225