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142654000125 = 353731385313
BaseRepresentation
bin1000010011011011010…
…1110100101111111101
3111122012210200001111010
42010312311310233331
54314123411001000
6145311230145433
713210045665000
oct2046665645775
9448183601433
10142654000125
115555451177a
1223792652279
13105b5690c80
146c93cc9537
153a9dc1bd50
hex2136d74bfd

142654000125 has 128 divisors (see below), whose sum is σ = 298121241600. Its totient is φ = 60196147200.

The previous prime is 142654000103. The next prime is 142654000133. The reversal of 142654000125 is 521000456241.

It is not a de Polignac number, because 142654000125 - 212 = 142653996029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142654000092 and 142654000101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1629469 + ... + 1714781.

It is an arithmetic number, because the mean of its divisors is an integer number (2329072200).

Almost surely, 2142654000125 is an apocalyptic number.

142654000125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142654000125 is an abundant number, since it is smaller than the sum of its proper divisors (155467241475).

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

142654000125 is an equidigital number, since it uses as much as digits as its factorization.

142654000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85365 (or 85341 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 142654000125 its reverse (521000456241), we get a palindrome (663654456366).

The spelling of 142654000125 in words is "one hundred forty-two billion, six hundred fifty-four million, one hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 125 147 175 195 245 273 325 343 375 455 525 637 735 875 975 1029 1225 1365 1625 1715 1911 2275 2625 3185 3675 4459 4875 5145 6125 6825 8575 9555 11375 13377 15925 18375 22295 25725 34125 42875 47775 66885 79625 85313 111475 128625 238875 255939 334425 426565 557375 597191 1109069 1279695 1672125 1791573 2132825 2985955 3327207 4180337 5545345 6398475 7763483 8957865 10664125 12541011 14929775 16636035 20901685 23290449 27726725 29262359 31992375 38817415 44789325 54344381 62705055 74648875 83180175 87787077 104508425 116452245 138633625 146311795 163033143 194087075 223946625 271721905 313525275 380410667 415900875 438935385 522542125 582261225 731558975 815165715 970435375 1141232001 1358609525 1567626375 1902053335 2194676925 2911306125 3657794875 4075828575 5706160005 6793047625 9510266675 10973384625 20379142875 28530800025 47551333375 142654000125